Proving a quadrilateral is a parallelogram assignment - Coordinate Proofs. In a coordinate proof, you are proving geometric statements using algebra and the coordinate plane. Some examples of statements you might prove with a coordinate proof are: Prove or disprove that the quadrilateral defined by the points ( 2, 4), ( 1, 2), ( 5, 1), ( 4, − 1) is a parallelogram. Prove or disprove that the …

 
 Proving a Quadrilateral Is a Parallelogram - Assignment. 9 terms. diamondstarkes634. ... all theorems prove that quadrilaterals are parallelograms, BUT IT MUST BE SHOWN. . Concerts at nrg

$\begingroup$ @dxiv thank you for your interest in my question; to prove that, it seems to me, I should start by noting the figure in the center is a rectangle and then prove that the two triangles to the sides of the rectangle are congruent: the two triangles have and equal side (to side of the rectangle) and an equal angle (the 90° one) but I can't see a third equal element to prove congruence.Start studying Proving that a Quadrilateral is a Parallelogram (Section 7.3). Learn vocabulary, terms, and more with flashcards, games, and other study tools. Search. Browse. Create. Log in Sign up. Log in Sign up. Upgrade to remove ads. Only $1/month. Proving that a Quadrilateral is a Parallelogram (Section 7.3) STUDY. Flashcards. …Proving a Quadrilateral Is a Parallelogram - Assignment. 9 terms. diamondstarkes634. Preview. Parallelograms Assignment and Quiz. 19 terms. Taelor_Morton. Preview. ... Geometry- [2B]: Special Parallelograms Assignment. 9 terms. WELCOME_TO_THE_CHAOS. Preview. parts of a circle geometry . 13 terms. …Proving a Quadrilateral Is a Parallelogram. 10 terms. brookewhealdon01. Preview. ... Geometry- [2B]: Special Parallelograms Assignment. 9 terms. WELCOME_TO_THE_CHAOS ...Proving a Quadrilateral Is a Parallelogram - Assignment. 9 terms. diamondstarkes634. Preview. Parallelograms Assignment and Quiz. 19 terms. Taelor_Morton. Preview. ... Geometry- [2B]: Special Parallelograms Assignment. 9 terms. WELCOME_TO_THE_CHAOS. Preview. parts of a circle geometry . 13 terms. …manojselvan. The document contains several theorems about the properties of parallelograms: if a quadrilateral has both pairs of opposite sides congruent, opposite angles congruent, or an angle supplementary to its consecutive angles, then it is a parallelogram. It also proves that if the diagonals of a quadrilateral bisect each other …Proving a Quadrilateral is a Parallelogram. 1. Multiple Choice. State which method we can use to show that the quadrilateral is a parallelogram. Both pairs of opposite angles are congruent. Both pairs of opposite sides are congruent. Both pairs of diagonals bisect each other. Both pairs of opposite sides are parallel.Do you know what a quadrilateral is? How about a parallelogram, a trapezoid, or a kite? In this article, you will review the definitions and properties of different types of quadrilaterals and learn how to classify them based on their sides, angles, and diagonals. This will help you master the concepts of geometry and prepare you for more advanced topics. Khan …A surety bond is a contract between three parties. The first two parties, the client and contractor, enter into an agreement for the contractor to provide a service for the client....Back To Quadrilaterals that are Parallelograms Back. 6.4 Proving a Quadrilateral is a Parallelogram Principles - Basic. Last Modified: Jul 22, 2013 Ask me anything! ...If one pair of opposite sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram. (opposite sides parallel and congruent theorem) If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. (parallelogram diagonals converse) Section 9.5 sine, cosine of complementary ang….Proving a quadrilateral is a parallelogram. 1. both pairs of opposite sides are parallel. 2. both pairs of opposite sides are =. 3. 1 pair of opposite sides = and parallel. 4. diagonals bisect each other. 5. if opposite angles =. proving a quadrilateral is a rectangle. 1. To prove that a quadrilateral is a parallelogram, we need to show that both pairs of opposite sides are parallel. There are a few different ways to prove that a quadrilateral is a parallelogram. Here, I will describe two common methods: using parallel lines and using congruent opposite angles. The number of lines of symmetry of a parallelogram depends on the type of parallelogram. A non-special parallelogram does not have any lines of symmetry. This includes any quadrila...Classify Types. A parallelogram is a quadrilateral made from two pairs of intersecting parallel lines. There are several rules involving: the angles of a parallelogram. the sides of a parallelogram. the diagonals of a parallelogram. Rule 1: Opposite sides are parallel Read more. Rule 2: Opposite Sides are Congruent Read more.Lesson 6: Theorems concerning quadrilateral properties. Proof: Opposite sides of a parallelogram. ... Prove parallelogram properties. Google Classroom. Problem.Read It Feels So Wrong To Bite People Chapter 1 In English Online Free — 6-3 Practice Proving That A Quadrilateral Is A Parallelogram Worksheet. Regardless of it's flaws, it's definitely a SUPERnatural fun ride. Please find her, soon ... 6-3 practice proving that a quadrilateral is a parallelogram find; It Feels So Wrong To Bite People ...6-3 practice proving that a quadrilateral is a parallelogram lisbdnet Macy's Corporate Email Address Format Is Invalid Macy's has maintained a dual headquarters in New York and Cincinnati since 1994, but most of …The number of lines of symmetry of a parallelogram depends on the type of parallelogram. A non-special parallelogram does not have any lines of symmetry. This includes any quadrila...3. String them together alternating lengths. 2. Hold the 2 straws together and cut them at the same time to get 2 pairs of congruent. 1. Get 2 straws, a string, and scissors. is a parallelogram? Is the quadrilateral a parallelogram? Justify your answer.This self-grading digital assignment provides students with practice applying theorems associated with parallelograms, including:If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.If an angle of a quadrilateral is supplementary to both of its consecutive angles, then the quadrilateral is a …A convex polygon that is both equilateral and equiangular. The sum of the measures of the exterior angles of a convex polygon, one angle at each vertex, is 360°. A quadrilateral with both pair of opposite parallel sides. If a quadrilateral is a parallelogram, then its opposite sides are congruent. Click here to see a proof of the converse of the parallelogram angle theorem. As you read through the proof, look for how to complete the statements on the right. Complete the statements by choosing the correct answer from the drop-down menu. Steps ----- are being used to get the equation in step 6. Steps ----- are being used to get the ... This self-grading digital assignment provides students with practice applying theorems associated with parallelograms, including:If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.If an angle of a quadrilateral is supplementary to both of its consecutive angles, then the quadrilateral is a …A parallelogram is defined as a quadrilateral with two opposite pairs of sides are parallel. We have said (and proven) that parallelograms have four basic properties: We will now show that the converse is true - that if one of these properties holds, the quadrilateral is a parallelogram. We will start with a fifth converse theorem - that if a ...If a quadrilateral meets any of the 5 criteria below, then it must be a parallelogram. Criteria proving a quadrilateral is parallelogram. 1) If a quadrilateral has one pair of sides that are both parallel and congruent. 2) If all opposite sides of the quadrilateral are congruent. 3) Both pairs of opposite sides are parallel.A parallelogram is defined as a quadrilateral with two opposite pairs of sides are parallel. We have said (and proven) that parallelograms have four basic properties: We will now show that the converse is true - that if one of these properties holds, the quadrilateral is a parallelogram. We will start with a fifth converse theorem - that if a ...Click here to see a proof of the converse of the parallelogram angle theorem. As you read through the proof, look for how to complete the statements on the right. Complete the statements by choosing the correct answer from the drop-down menu. Steps ----- are being used to get the equation in step 6. Steps ----- are being used to get the ...This video shows examples of proving a quadrilateral is a parallelogram by using properties of parallelogram.Prove parallelogram properties (practice) | Khan Academy. Google Classroom. Consider this diagram of quadrilateral A B C D , which is not drawn to scale. Which two …Theorem 4.6: If one pair of opposite sides of a quadrilateral are both congruent and parallel, then the quadrilateral is a parallelogram. Proof (outline): Again, by introducing a diagonal and proving congruent triangles, we can show that both pairs of opposite sides of the quadrilateral are congruent; then we have a parallelogram by Theorem 4.5.How to frame the conversation so it won't ruin their opinion of you. No matter how hard you try to manage your time, you will probably end up being late on an assignment at some po...7.3 Proving a Quadrilateral is a Parallelogram. Definition of parallelogram. Click the card to flip 👆. both pairs of opposite sides are parallel. Click the card to flip 👆. Cut out the bottom of a cardboard box. Measure the For Example 3, have students make a parallel ruler opposite sides of the box to show they are congruent. using straws and connectors such as brads. Then change the angles between the adjacent edges of the box to demonstrate Theorem 6-8. learning style: visual. If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. If one pair of opposite sides of a quadrilateral is both congruent and parallel, then the quadrilateral is a parallelogram.so that BHFC B H F C is cyclic. . Line (4) ( 4) depends upon A A, H H, F F, D D appearing in that order on their circle. Adjusting the argument for the order A A, F F, H H, D D (with which ∠AHF = β ∠ A H F = β) is left as an exercise to the reader. (There should be an argument that neatly avoids such case-work, but I haven't found it.)Proving a Quadrilateral Is a Parallelogram. 10 terms. Paige_Hrycyk. Preview. ... Geometry- [2B]: Special Parallelograms Assignment. 9 terms. WELCOME_TO_THE_CHAOS ... Click here to see a proof of the converse of the parallelogram angle theorem. As you read through the proof, look for how to complete the statements on the right. Complete the statements by choosing the correct answer from the drop-down menu. Steps ----- are being used to get the equation in step 6. Steps ----- are being used to get the ... 5. Based on the information in the diagram, determine whether the figure is a parallelogram. If so, select the answer with the correct justification. Yes, both pairs of opposite sides are congruent. Study with Quizlet and memorize flashcards containing terms like Complete the statement: A polygon with all sides the same length is said to be ...Proving Concave Quadrilateral is a Parallelogram. Log in Sign up. Find A Tutor . Search For Tutors. Request A Tutor. Online ... AB is congruent to CD, and (2) Angle B is congruent to angle D might not prove that the quadrilateral is a parallelogram after all! Report. 11/12/23. William C. tutor. Once again, Dayv , I'm learning a lot ...Answers: 1 on a question: Proving a Quadrilateral Is a Parallelogram Assignment Active Determining Whether a Figure Is a Parallelogram could the Sgure be a 10 in Based on the measures show parallelogram? (x + 5) in Yes, one pair of opposite sides could measure 10 in, and the other pair could measure 13 in (2x-3) in Yes, one pair of opposite sides could …May 21, 2013 · By the definition of a parallelogram, opposite sides are parallel, so the trays of the sewing box are always parallel. Ex. 2: Proving Quadrilaterals are Parallelograms. Another Theorem ~ • Theorem 6.10—If one pair of opposite sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram. The opposite sides of a parallelogram are equal. The opposite angles of a parallelogram are equal. The diagonals of a parallelogram bisect each other. If one pair of opposite sides is equal and parallel in a quadrilateral then it is a parallelogram. Theorem 1: In a Parallelogram the Opposite Sides are Equal.Proving a Quadrilateral is a Parallelogram. 1. Multiple Choice. State which method we can use to show that the quadrilateral is a parallelogram. Both pairs of opposite angles are congruent. Both pairs of opposite sides are congruent. Both pairs of diagonals bisect each other. Both pairs of opposite sides are parallel.Trapezoid. a quadrilateral with at least one pair of parallel sides. square. a rectangle with all sides equal and four right angles. Rhombus. a parallelogram with all sides equal. which of the following reasons would complete the proof in line 6? if a pair of opposite sides of a quadrilateral are parallel and equal, then it is a parallelogram ...Spanish. Recommendations. Skill plans. IXL plans. Washington state standards. Textbooks. Test prep. Improve your math knowledge with free questions in "Proving a quadrilateral is a parallelogram" and thousands of other math skills.May 21, 2013 · By the definition of a parallelogram, opposite sides are parallel, so the trays of the sewing box are always parallel. Ex. 2: Proving Quadrilaterals are Parallelograms. Another Theorem ~ • Theorem 6.10—If one pair of opposite sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram. Proving a Quadrilateral is a Parallelogram Given a Diagram & a Particular Angle. Step 1: Identify the adjacent angles and the opposite angle to the given angle. Step 2: Find the measure of the ...5. Based on the information in the diagram, determine whether the figure is a parallelogram. If so, select the answer with the correct justification. Yes, both pairs of opposite sides are congruent. Study with Quizlet and memorize flashcards containing terms like Complete the statement: A polygon with all sides the same length is said to be ...Start studying Proving that a Quadrilateral is a Parallelogram (Section 7.3). Learn vocabulary, terms, and more with flashcards, games, and other study tools. Search. Browse. Create. Log in Sign up. Log in Sign up. Upgrade to remove ads. Only $1/month. Proving that a Quadrilateral is a Parallelogram (Section 7.3) STUDY. Flashcards. …In quadrilateral WXYZ, WC = 2x + 5 and CY = 3x + 2. What must x equal for quadrilateral WXYZ to be a parallelogram?we make based on whether we are given that a certain quadrilateral is a parallelogram, or if we want to prove that the quadrilateral is a parallelogram. Let’s take a look at these statements so that we understand how to use them properly in our proofs. Given a ParallelogramTry Magic Notes and save time Crush your year with the magic of personalized studying. Try it freeWhat are the ways to prove a quadrilateral is a parallelogram? 1. Show both pairs of opposite sides are parallel. 2. Show that both pairs of opposite sides are congruent. 3. Show that both pairs of opposite angles are congruent. 4. Show that one pair of opposite sides are parallel and congruent.Discover more at www.ck12.org: http://www.ck12.org/geometry/Quadrilaterals-that-are-Parallelograms/Here you'll learn how to apply various quadrilateral theo...A parallelogram is a geometric figure with opposite sides parallel and equal in length. In the picture below notice that when two parallel lines intersect two other parallel lines, a parallelogram is formed, or many, as in the case here. A parallelogram is a specific type of quadrilateral (a four-sided figure).About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright ...Two examples of parallelograms seen in everyday life are the United States Postal Service symbol and the intricate structures on the neck of a guitar. A parallelogram is a quadrila... Proving Quadrilaterals Are Parallelograms. quadrilaterals. Most of the work we did was computation-based because. we were already given the fact that the figures were parallelograms. In this section, proofs for parallelograms. We can apply much of what we learned in the previous. organized in our arguments. Prove that the quadrilateral is a parallelogram. Step 1: Plot the given points on a coordinate plane. Plot the quadrilateral on a coordinate plane. Step 2: Find the length of the opposite sides ...In this lesson we go through properties of parallelograms and prove theorems relating to determining whether a given quadrilateral is a parallelogram. We go ...one pair of opposite sides are congruent and parallel. diagonals bisect eachother. One angle is supplementary to both consecutive angles. two pairs of opposite angles are congruent. 6-4 Proving a Quadrilateral is a Parallelogram. Click the card to flip 👆. two pairs of opposite sides are congruent. Click the card to flip 👆.Discover more at www.ck12.org: http://www.ck12.org/geometry/Quadrilaterals-that-are-Parallelograms/Here you'll learn how to apply various quadrilateral theo... Proving a Quadrilateral Is a Parallelogram - Assignment. 9 terms. diamondstarkes634. Preview. ... Which concept is used to prove that the opposite sides of a ... If a quadrilateral meets any of the 5 criteria below, then it must be a parallelogram. Criteria proving a quadrilateral is parallelogram. 1) If a quadrilateral has one pair of sides that are both parallel and congruent. 2) If all opposite sides of the quadrilateral are congruent. 3) Both pairs of opposite sides are parallel.The given information proves that HELP is a parallelogram., A. 7 B. 8 C. 10 D. 14, A. p = 18, q = 13 B. p = 13, q = 8 C. p = 8, q = 18 D. p = 13, q = 18 and more. hello quizlet HomeA parallelogram is defined as a quadrilateral with two pairs of parallel sides. In a rectangle, any two sides next to each other are perpendicular. So any two opposite sides are perpendicular to a third side, and therefore are parallel to each other. Therefore, a rectangle also has two pairs of parallel sides.Dilations in the Coordinate Plane, Transformations and Similarity, Proving Triangles Similar, Triangle similarity, Triangle Proportionality, Special Right Triangles, Trigonomic Ratios, Right Triangle Similarity, Proportions and TrianglesParallelogram ANDR with AW and DE bisecting NWD and REA at points W and E (Given). AN ≅RD, AR ≅DN (Opposite sides of a parallelogram are congruent). AE = 1 2 AR, WD = 1 2 DN, so AE ≅WD (Definition of bisect and division property of equality). AR DN (Opposite sides of a parallelogram are parallel). AWDE is a parallelogram (Definition of ...Criteria proving a quadrilateral is parallelogram. 1) If a quadrilateral has one pair of sides that are both parallel and congruent. 2) If all opposite sides of the quadrilateral are …Given: quadrilateral MNOL with MN ≅ LO and ML ≅ NO. 3 Prove a quadrilateral is a parallelogram Independent Practice Ch. In addition, we may determine that both pairs of opposite sides are parallel, and once again, we have shown the quadrilateral to be a parallelogram.If the measure of two consecutive angles in a quadrilateral is 91 and 91 degrees, is this a parallelogram? No, 91 + 91 = 182 so the angles are not supplementary. For a parallelogram with opposite sides given by 4r + 7 and 7r - 1 find the value of the given sides. The sides length is 15. For a parallelogram with opposite sides given by s + 5 …There are many ways to prove that the given points are the vertices of a parallelogram. Method 1 : Show that opposite sides have the same slope, so they are parallel.one pair of opposite sides are congruent and parallel. diagonals bisect eachother. One angle is supplementary to both consecutive angles. two pairs of opposite angles are congruent. 6-4 Proving a Quadrilateral is a Parallelogram. Click the card to flip 👆. two pairs of opposite sides are congruent. Click the card to flip 👆.There are a few different ways to prove that a quadrilateral is a parallelogram. Here, I will describe two common methods: using parallel lines and using congruent opposite …Even if a quadrilateral is not marked with having two pairs of sides, it still might be a parallelogram. The following is a list of theorems that will help you decide if a quadrilateral is a parallelogram or not.2. Which of the following is NOT a way to prove a quadrilateral is a parallelogram? Choose: Show both sets of opposite angles of the quadrilateral are congruent. Show the diagonals of the quadrilateral bisect each other. Show one set of opposite sides of the quadrilateral is both congruent and parallel. Show one set of opposite sides of the ...There are 5 basic ways to prove a quadrilateral is a parallelogram. They are as follows: Proving opposite sides are congruent. Proving opposite sides are parallel. Proving the quadrilateral’s diagonals bisect each other. Proving opposite angles are congruent. Proving consecutive angles are supplementary (adding to 180°) Untitled. then quadrilateral is a parallelogram. If the diagonals of a quadrilateral bisect each other, •. then the quadrilateral is a parallelogram. If both pairs of opposite angles of a quadrilateral are congruent, •. then the quadrilateral is a parallelogram. If one pair of opposite sides of a quadrilateral is BOTH congruent and parallel, If one pair of opposite sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram. (opposite sides parallel and congruent theorem) If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. (parallelogram diagonals converse) Section 9.5 sine, cosine of complementary ang….7.3 Proving a Quadrilateral is a Parallelogram. Definition of parallelogram. Click the card to flip 👆. both pairs of opposite sides are parallel. Click the card to flip 👆.In quadrilateral WXYZ, WC = 2x + 5 and CY = 3x + 2. What must x equal for quadrilateral WXYZ to be a parallelogram?7.3 Proving a Quadrilateral is a Parallelogram. Definition of parallelogram. Click the card to flip 👆. both pairs of opposite sides are parallel. Click the card to flip 👆.Proving that a Quadrilateral is a Parallelogram Math Quiz. Reverse of the definition. Click the card to flip 👆. If both pairs of opposite sides of a quadrilateral are parallel, then the quadrilateral is a parallelogram. Click the card to flip 👆.If one pair of opposite sides of a quadrilateral is both congruent and parallel, then the quadrilateral is a parallelogram. If both pairs of opposite angles of a quadrilateral are … The opposite angles of a P-gram are congruent. Parallelogram Diagonal Theorem (PDT) The diagonals bisect each other in a P-gram. Parallel Lines Transversal Theorem (PLTT) If three or more transversals cut off one transversal, then the segments are congruent. Study with Quizlet and memorize flashcards containing terms like Converse of ... This video provides the student with a walkthrough of one or more examples from the concept "Proving a Quadrilateral is a Parallelogram". Click Create Assignment to assign this modality to your LMS.

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proving a quadrilateral is a parallelogram assignment

For this, we must use the converses of our “precious” theorems: Theorem: If a quadrilateral is a parallelogram, then its opposite sides are congruent. If a quadrilateral is a parallelogram, then its diagonals bisect each other. If a quadrilateral is a parallelogram, then its opposite angles are congruent. Converse: Proving Quadrilaterals Are Parallelograms. quadrilaterals. Most of the work we did was computation-based because. we were already given the fact that the figures were parallelograms. In this section, proofs for parallelograms. We can apply much of what we learned in the previous. organized in our arguments. You have proved that $\vec{BA}$ is parallel, and of the same length as, $\vec{CD}$. A similar argument will prove that $\vec{AD}$ is parallel, and of the same length as, $\vec{BC}$. Now draw the quadrilateral and make use of all this information.[]A parallelogram is sometimes a kite. []A square is always a rhombus. []A trapezoid is never a kite., Which best describes the structure outlined in the bridge. A.) It is a parallelogram because it has one pair of opposite sides that is parallel. B.) It is a parallelogram because it has exactly one pair of opposite sides that is congruent. C.)By CK-12. Common Core Math. College FlexBooks. K-12 FlexBooks. Tools and Apps.Proving that a Quadrilateral is a Parallelogram . Font Family. Font Color. Font Size. Background. Font Opacity. Background Opacity. Monospaced Serif. ... Proving that a Quadrilateral is a Parallelogram . Volume. Speed. Enter Full Screen. Video Duration Elapsed Time: 00:00 / Total Time: 00:00. Timeline Progress ...chapter 5 parallelograms. 5 ways to prove that a quadrilateral is a parallelogram. Click the card to flip 👆. 1) show that both pairs of opposite sides are parallel. 2) show that both pairs of opposite sides are congruent. 3) show that one pair of opposite sides are both congruent and parallel. 4) show that both pairs of opposite angles are ...Tip: To get a feel for why this proof method works, take two toothpicks and two pens or pencils of the same length and put them all together tip-to-tip; create a closed figure, with the toothpicks opposite each other. The only shape you can make is a parallelogram. If both pairs of opposite angles of a quadrilateral are congruent, then it’s a ...The diagonal of a parallelogram creates alternate interior angles. A parallelogram is a quadrilateral. A quadrilateral is always a parallelogram. If a diagonal is drawn in a parallelogram, then two congruent triangles are formed. Study with Quizlet and memorize flashcards containing terms like parallelogram, Select all that apply. Study with Quizlet and memorize flashcards containing terms like if both pairs of opposite sides of a quadrilateral are parallel, then the quadrilateral is a parallelogram, If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram, If one pare of opposite sides of a quadrilateral are both parallel and congruent, then the quadrilateral is a ... Proving a Quadrilateral is a Parallelogram. 1. Multiple Choice. State which method we can use to show that the quadrilateral is a parallelogram. Both pairs of opposite angles are congruent. Both pairs of opposite sides are congruent. Both pairs of diagonals bisect each other. Both pairs of opposite sides are parallel. Cut out the bottom of a cardboard box. Measure the For Example 3, have students make a parallel ruler opposite sides of the box to show they are congruent. using straws and connectors such as brads. Then change the angles between the adjacent edges of the box to demonstrate Theorem 6-8. learning style: visual. May 21, 2013 · By the definition of a parallelogram, opposite sides are parallel, so the trays of the sewing box are always parallel. Ex. 2: Proving Quadrilaterals are Parallelograms. Another Theorem ~ • Theorem 6.10—If one pair of opposite sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram. Tip: To get a feel for why this proof method works, take two toothpicks and two pens or pencils of the same length and put them all together tip-to-tip; create a closed figure, with the toothpicks opposite each other. The only shape you can make is a parallelogram. If both pairs of opposite angles of a quadrilateral are congruent, then it’s a ...Quadrilaterals, parallelograms, rhombuses, rectangles, squares, trapezoids, isosceles trapezoids Learn with flashcards, games, and more — for free..

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