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Splash Screen. You will be able to… Name corresponding parts of congruent polygons. Prove triangles congruent using the definition of congruence. Then/Now. Congruent- Corresponding parts-. Then/Now. Concept 1. Identify Corresponding Congruent Parts.

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Then now

  • Prove triangles congruent using the definition of congruence.

Then/Now


Then now1

Congruent-

Corresponding parts-

Then/Now



Example 1

Identify Corresponding Congruent Parts

Show that the polygons are congruent by identifying all of the congruent corresponding parts. Then write a congruence statement.

Example 1


Example 11

A.

B.

C.

D.

The support beams on the fence form congruent triangles. In the figure ΔABC ΔDEF,which of the following congruence statements correctly identifies corresponding angles or sides?

Example 1


Example 2

Use Corresponding Parts of Congruent Triangles

In the diagram, ΔITP ΔNGO. Find the values of x and y.

Example 2


Example 21

In the diagram, ΔFHJ ΔHFG. Find the values of x and y.

A.x = 4.5, y = 2.75

B.x = 2.75, y = 4.5

C.x = 1.8, y = 19

D.x = 4.5, y = 5.5

Example 2



Example 3

Use the Third Angles Theorem

ARCHITECTURE A drawing of a tower’s roof is composed of congruent triangles all converging at a point at the top. If IJK  IKJ and mIJK = 72, find mJIH.

Example 3


Example 31

TILES A drawing of a tile contains a series of triangles, rectangles, squares, and a circle. If ΔKLM  ΔNJL, KLM  KML,and mKML = 47.5, find mLNJ.

A. 85

B. 45

C. 47.5

D. 95

Example 3