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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

5. Proving Triangle Congruence by SSS

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Exercise 8 Page 622

Note that one side is shared by the two triangles.

The statement is true
Explanation: See solution.

Practice makes perfect

Examining the diagram in the exercise, we see that the two triangles have two congruent corresponding sides. We can also see that the third side is shared by the two triangles. By the Reflexive Property of Congruence, we can claim that this side is congruent to itself.

We now have enough information to claim congruence by the SSS Congruence Theorem.

Subchapter links

Communicate Your Answer p.617

Monitoring Progress p.619-621

Exercises p.622-624