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IM G Unit 2 Lesson 7

Auteur :Mrs.Kliewer
  1. Two triangles have 2 pairs of corresponding angles congruent, and the corresponding sides between those angles are congruent. Sketch 2 triangles that fit this description.
  2. Label the triangles WXY and DEF, so that angle W is congruent to angle D, angle X is congruent to angle E, and side WX is congruent to side DE.

  1. Write a sequence of rigid motions to take triangle WXY onto triangle DEF. For each step, explain how you know that one or more vertices will line up.

Lines l and m are parallel. a=42 degrees. Find b, c, d, e, f, g, and h.

Quadrilateral ABCD is a parallelogram. By definition, that means that segment AB is parallel to segment CD, and segment BC is parallel to segment AD.
  1. Sketch parallelogram ABCD  and then draw an auxiliary line to show how  can be decomposed into 2 triangles.

  1. Prove that the 2 triangles you created are congruent, and explain why that shows one pair of opposite sides of a parallelogram must be congruent.

IM G Unit 2 Lesson 7 from IM Geometry by Illustrative Mathematics, https://im.kendallhunt.com/HS/students/2/2/7/index.html. Licensed under the Creative Commons Attribution 4.0 license, https://creativecommons.org/licenses/by/4.0/.

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