[list=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.[/*][*]Label the triangles [i]WXY[/i] and [i]DEF[/i], so that angle [i]W[/i] is congruent to angle [i]D[/i], angle[i] X [/i]is congruent to angle [i]E[/i], and side [i]WX[/i] is congruent to side [i]DE[/i].[/*][/list]
[list=1][*]Write a sequence of rigid motions to take triangle [i]WXY[/i] onto triangle [i]DEF[/i]. For each step, explain how you know that one or more vertices will line up.[/*][/list]
Lines [i]l[/i] and [i]m[/i] are parallel. [i]a=42 degrees[/i]. Find [i]b[/i], c, d, e, f, g, and h.
Quadrilateral [i]ABCD[/i] is a parallelogram. By definition, that means that segment [i]AB[/i] is parallel to segment [i]CD[/i], and segment [i]BC[/i] is parallel to segment [i]AD[/i].[br][br][list=1][*]Sketch parallelogram [i]ABCD[/i] and then draw an auxiliary line to show how can be decomposed into 2 triangles.[/*][/list]
[list=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.[/*][/list]
IM G Unit 2 Lesson 7 from IM Geometry by Illustrative Mathematics, [url=https://im.kendallhunt.com/HS/students/2/2/1/index.html]https://im.kendallhunt.com/HS/students/2/2/7/index.html[/url]. Licensed under the Creative Commons Attribution 4.0 license, [url=https://creativecommons.org/licenses/by/4.0/]https://creativecommons.org/licenses/by/4.0/[/url].