Chapter 6
Quadrilaterals
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A ___parallelogram___ is a quadrilateral with both pairs of opposite sides parallel. When you mark diagrams of quadrilaterals, use matching arrowheads to ...
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Chapter 6
Quadrilaterals
Section 2
Properties of Parallelograms
Example 1: Using Properties of Parallelograms FGHJ is a parallelogram. Find the unknown lengths. Explain your reasoning. a) JH 5; opposite sides are congruent b) JK 3; diagonals bisect each other
Example 3: Using Algebra with Parallelogram PQRS is a parallelogram. Find the value of x.
GOAL 2: Reasoning About Parallelograms Example 4: Proving Facts about Parallelograms Given: ABCD and AEFG are parallelograms. Prove: <1 ≅ < Plan: Show that both angles are congruent to <2. Then use the transitive property. Statements Reasons
Example 6: Using Parallelograms in Real Life Furniture Design: A drafting table is made so that the legs can be joined in different ways to change the slope of the drawing surface. In the arrangement below, the legs AC and BD do not bisect each other. Is ABCD a parallelogram? No, 6.5 states the diagonals DO need to bisect, but in this figure they don’t.