Lesson 08: Similar Triangles | Unit 2: Dilations, Similarity, and Introducing Slope

For Triangle A and Triangle B, some of the angle measures are given in degrees: Triangle A: 53, 71, $$\underline{\hspace{.5in}}$$ ; Triangle B: 53, 71, $$\underline{\hspace{.5in}}$$ . Use the information to decide if the triangles are similar or not. Explain how you know.

For Triangle C and Triangle D, some of the angle measures are given in degrees: Triangle C: 90, 37, $$\underline{\hspace{.5in}}$$ ; Triangle D: 90, 53, $$\underline{\hspace{.5in}}$$ . Use the information to decide if the triangles are similar or not. Explain how you know.

For Triangle E and Triangle F, some of the angle measures are given in degrees: Triangle E: 63, 45, $$\underline{\hspace{.5in}}$$ ; Triangle F: 14, 71, $$\underline{\hspace{.5in}}$$ . Use the information to decide if the triangles are similar or not. Explain how you know.

For Triangle G and Triangle H, some of the angle measures are given in degrees: Triangle G: 121, $$\underline{\hspace{.5in}}$$ , $$\underline{\hspace{.5in}}$$ ; Triangle H: 70, $$\underline{\hspace{.5in}}$$ , $$\underline{\hspace{.5in}}$$ . Use the information to decide if the triangles are similar or not. Explain how you know.

Do you think 2 equilateral triangles will be similar always, sometimes, or never? Explain your reasoning.

In the figure, line segment $$BC$$ is parallel to line segment $$DE$$ . Explain why triangle $$ABC$$ is similar to triangle $$ADE$$ .

Explain why triangle ABC is similar to EDC.