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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

Chapter Review

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Exercise 22 Page 649

What do ∠ QSV and ∠ QTV have in common?

See solution

Practice makes perfect

From the diagram, we see that ∠ 1 and ∠ 2 are vertical angles to ∠ QSV and ∠ QTV, respectively. Since △ QSV and △ QTV have two congruent corresponding sides, and share their third side, we can prove congruence by the SSS Congruence Theorem. Finally, because ∠ QSV and ∠ QTV are corresponding angles, we can prove that ∠ 1 ≅ ∠ 2.

Subchapter links

1 Angles of Triangles p.646

2 Congruent Polygons p.646

3 Proving Triangle Congruence by SAS p.647

4 Equilateral and Isosceles Triangles p.647

5 Proving Triangle Congruence by SSS p.648

6 Proving Triangle Congruence by ASA and AAS p.649

7 Using Congruent Triangles p.649

8 Coordinate Proofs p.650