Geo - Unit 6 Review, Part 1

Which value of x proves that the two triangles above are similar?

• 26.7 ft

• 10 ft

• 25.6 ft

• 42.7 ft

The diagram shows the measurements of 2 triangles in cm. What is the value of x that proves the triangles above are similar?

• 35 cm

• 18 cm

• 112.5 cm

• 2 cm

In the triangle below,

 $\angle ABC$  is a right angle. Given that  $\overline{BD}\perp\overline{AC}$ , which statement must be true? (Hint: Look at your notes about similar right triangles). 

•  $\frac{AD}{DB}=\frac{DB}{DC}$  

•  $\frac{AD}{DC}=\frac{DC}{BD}$  

•  $\frac{AB}{BD}=\frac{AC}{AB}$  

•  $\frac{AB}{BC}=\frac{BC}{DC}$  

Given  $\Delta ABC\sim\Delta HJR$  . What is the length of side  AB? 

• 59

• 63

• 1.143

• 5.143

Find the value of x. Leave your answer in simplest radical form.

Find the value of x. Leave your answer in simplest radical form.

With similar triangles, corresponding angles are _________________ and corresponding sides are ________________________.

• Congruent / Congruent

• Proportional / Proportional

• Congruent / Proportional

• Proportional / Congruent

Which length of  $\overline{AC}$  proves that  $\Delta ABC\sim\Delta DEF?$  

• 72.7

• 16

• 40

• 9.4

Andy is 5 feet tall. He casts a shadow of that is 9 feet long at the same time that a light post casts a shadow that is 35 feet long. What is the height of the light post?

• 1.3 ft

• 63 ft

• 48 ft

• 19.4 ft

 Given that $\Delta RST\ and\ \Delta RQW$  are right triangles, what value of x proves that the two triangles are similar? 

• 25.2 ft 

• 8 ft 

• 70 ft 

• 5.7 ft