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McGraw Hill Integrated II, 2012 View details

3. Proving Triangles Congruent-SSS, SAS

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Exercise 20 Page 359

Practice makes perfect

a This solid is formed by connecting a point A to all points of a polygon.

The name of such a solid is a pyramid.

b Let's use colors and markers to highlight congruent segments.

Now we will summarize what we know about the sides of the two triangles.

Side of △ ACB	Side of △ ACD	Congruent?	Justification
AC	AC	Yes	Reflexive Property of Congruence
CB	CD	Yes	Given
BA	DA	Yes	Given

Since the two triangles have three pairs of congruent sides, according to the Side-Side-Side (SSS) Congruence Postulate these triangles are congruent. △ ACB≅△ ACD

c This is a perspective 2D image of a 3D object. In such an image distances in different directions appear to be different.