[G.CO.11] Congruence #11

Objective

Common Core Text:

• [G.CO.11] Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.

Said Differently:

• • Prove the following theorems about parallelograms

    • Opposite sides are congruent

    • Opposite angles are congruent

    • Diagonals bisect each other

    • Rectangles are parallelograms with congruent diagonals

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Explanation

Parallelogram

A parallelogram is a shape made from two pairs of parallel lines.

Opposite Sides are Congruent & Opposite Angles are Congruent

These proofs use a lot of pictures, so they have a separate link here

Diagonals of a Parallelogram Bisect Each Other

These proofs use a lot of pictures, so they have a separate link here

Rectangles are Parallelograms With Congruent Diagonals

These proofs use a lot of pictures, so they have a separate link here