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IM Geometry Unit 2 Lesson 15

Jada is learning about the triangle congruence theorems: Side-Side-Side, Angle-Side-Angle, and Side-Angle-Side. She wonders if there are any theorems like these for parallelograms.

  1. If 2 parallelograms have all 4 pairs of corresponding sides congruent, do the parallelograms have to be congruent? If so, explain your reasoning. If not, use the tools available to show that it doesn’t work.

In parallelograms ABCD and EFGH,

Are ABCD and EFGH congruent? If so, explain your reasoning. If not, use the tools available to show that it doesn't work.

IM G Unit 2 Lesson 15 from IM Geometry by Illustrative Mathematics, https://im.kendallhunt.com/HS/students/2/2/15/index.html. Licensed under the Creative Commons Attribution 4.0 license, https://creativecommons.org/licenses/by/4.0/.