✓ Lesson Check

Do you know HOW?

Identify any common angles or sides.

1. Δ M K J cap delta m k j  and Δ L J K cap delta l j k

   

2. Δ D E H cap delta d e h  and Δ D F G cap delta d f g

   

Separate and redraw the overlapping triangles. Label the vertices.

Do you UNDERSTAND?

5. Reasoning In Exercise 1, both triangles have vertices J and K. Are ∠ J angle j  and ∠ K angle k  common angles for Δ M K J cap delta m k j  and Δ L J K ? cap delta l j k question mark  Explain.

6. Error Analysis In the diagram, Δ P S Y ≅ Δ S P L . cap delta p s y approximately equal to cap delta s p l .  Based on that fact, your friend claims that Δ P R L ≇ Δ S R Y . cap delta p r l neither approximately nor actually equal to cap delta s r y .  Explain why your friend is incorrect.

   

7. In the figure below, which pair of triangles could you prove congruent first in order to prove that Δ A C D ≅ Δ C A B ? cap delta eh c d approximately equal to cap delta c eh b question mark  Explain.