Proving Quadrilaterals Are Parallelograms Worksheet 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
Theorem 7 3 and the Parallelogram Opposite Angles Theorem Theorem 7 4 to prove statements about the sides and angles of the parallelogram The converses of the theorems are stated below You can use these and other theorems in this lesson to prove that a quadrilateral with certain properties is a parallelogram 7 3 Lesson Quadrilaterals that are Parallelograms Recall that a parallelogram is a quadrilateral with two pairs of parallel sides 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 1
Proving Quadrilaterals Are Parallelograms Worksheet
Proving Quadrilaterals Are Parallelograms Worksheet
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Proving Quadrilaterals Are Parallelograms Worksheet Printable Word
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6 3 Proving That A Quadrilateral Is A Parallelogram YouTube
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Geometry Worksheet Quadrilaterals Section Name Mr Lin 1 Do Now Write the definition of quadrilaterals Prove Quadrilaterals are Parallelograms 25 List the criteria for proving quadrilaterals are parallelograms A B ID A 2 6 ANS Because diagonals NR and BO bisect each other NX RX and BX OX BXN and OXR are congruent vertical angles Therefore BNX ORX by SAS REF 080731b 7 ANS Parallelogram 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
Theorem 2 A quadrilateral is a parallelogram if both pairs of opposite angles are congruent Image 5 Theorem 2 If and then the quadrilateral is a parallelogram Theorem 3 A Proving Quadrilaterals are Parallelograms Worksheet PROVING QUADRILATERALS ARE PARALLELOGRAMS WORKSHEET 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
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Proving Parallelograms With Two Column Proofs Geometry YouTube
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Proving That A Quadrilateral Is A Parallelogram
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Proving A Quadrilateral Is A Parallelogram Lesson Basic Geometry
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Exclusive Content for Member s Only 00 09 14 Decide if you are given enough information to prove that the quadrilateral is a parallelogram Examples 7 13 00 15 24 Find the value of x in the parallelogram Examples 14 15 00 18 36 Complete the two column proof Examples 16 17 If both pairs of opposite angles of a quadrilateral are congruent then the quadrilateral is a parallelogram If the diagonals of a quadrilateral bisect each other then the quadrilateral is a parallelogram Students are then asked to determine whether given quadrilaterals are parallelograms based on these concepts as well as solve problems
Free Geometry Worksheet Proving that a Quadrilateral is a Parallelogram The definition of a parallelogram gives one way to prove that a quadrilateral is a parallelogram show both pair of opposite sides are parallel Complete the following theorems which provide four more ways 1 If both pairs of opposite sides of a quadrilateral are Draw a picture of each quadrilateral to determine if it is a parallelogram by one of the following reasons Be able to explain your selection a Opposite sides congruent b Opposite angles congruent c Diagonals bisect each other d One pair of opposite sides is both parallel and congruent e Both pairs of opposite sides are parallel
Conditions That Make A Quadrilateral A Parallelogram LAS On
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Geometry Parallelogram Worksheet Answers
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Proving Quadrilaterals Are Parallelograms Worksheet - 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