Proving That A Quadrilateral Is A Parallelogram Worksheet 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
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 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
Proving That A Quadrilateral Is A Parallelogram Worksheet
Proving That A Quadrilateral Is A Parallelogram Worksheet
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Proving That A Quadrilateral Is A Parallelogram In The Coordinate Plane
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Proving A Quadrilateral Is A Parallelogram Lesson Basic Geometry
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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 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
A quadrilateral is any two dimensional flat shape having four sides A parallelogram on the other hand is a quadrilateral having two pairs of opposite parallel sides To prove whether a given quadrilateral is a parallelogram there are six possible ways Depending upon the information provided you need to use any one of the below given properties 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
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Conditions That Make A Quadrilateral A Parallelogram LAS On
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Lesson 6 Theorems concerning quadrilateral properties Proof Opposite sides of a parallelogram Proof Diagonals of a parallelogram Proof Opposite angles of a parallelogram Proof The diagonals of a kite are perpendicular Prove parallelogram properties Google Classroom Problem 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 This video provides the student with a walkthrough on proving that a quadrilateral is a parallelogram Click Create Assignment to assign this modality to your LMS We have a new and improved read on this topic
Proving A Quadrilateral Is A Parallelogram Using Coordinate Geometry
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Proving That A Quadrilateral Is A Parallelogram Worksheet - A quadrilateral is any two dimensional flat shape having four sides A parallelogram on the other hand is a quadrilateral having two pairs of opposite parallel sides To prove whether a given quadrilateral is a parallelogram there are six possible ways Depending upon the information provided you need to use any one of the below given properties