Topic 9-5 (Similar Triangles)

School Year 2022-2023

​

​Topic 9-5

Similar Triangles

Fill in the Blanks

1.) Solve for a.

Fill in the Blanks

2.) Solve for x.

Fill in the Blanks

3.) Given that the two triangles are similar, what is the value of x?

Multiple Choice

4.) $$\Delta DEF$$ is similar to $$\Delta YZX$$ . Which side corresponds to $$\overline{ED}$$ ?

• $$\overline{YX}$$

• $$\overline{ZY}$$

• $$\overline{XZ}$$

• $$\overline{DF}$$

Multiple Choice

5.) $$\Delta DEF$$ is similar to $$\Delta YZX$$ . What is the length of $$\overline{XZ}$$ ?

• 3.423 ft

• 5.45 ft

• 6.0375 ft

• 4.565 ft

Fill in the Blanks

6.) A person 6 feet tall casts a 1.5-foot-long shadow at the same time that a flagpole casts a 7-foot-long shadow. How tall is the flagpole?

Multiple Select

7.) Triangles ABC and PQR are similar. Which proportions could be used to find QR? Select all that apply.

• $$\frac{AB}{PQ}=\frac{BC}{QR}$$

• $$\frac{BC}{QR}=\frac{PQ}{AC}$$

• $$\frac{5}{10}=\frac{3}{QR}$$

• $$\frac{5}{3}=\frac{QR}{10}$$

• $$\frac{3}{10}=\frac{5}{QR}$$

Fill in the Blanks

8.) Smith passes the puck to his teammate Lu by bouncing the puck off the wall. The wall, the distance from each player to the wall, and the path of the puck form two similar right triangles. How far did the puck travel from the wall to Lu?