Quiz_Triangles Similarity

Two objects that are the same shape (with corresponding sides and angles) but not the same size are _______.

• Congruent

• Vertical

• Similar

• Complementary

Solve the proportion.
____ = ____

• p=31.3
• p=308
• p=924
• p=532

In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)

• congruent, proportional 
• proportional, congruent 
• congruent, congruent
• proportional, proportional

What is the value of the missing segment?

• 15
• 20
• 6
• 16

Which proportion would be correct in order to solve for x.  (Hint: remember the side splitter theorem states the sides of the triangles are proportional)

• x/10 = 15/30
• x/10 = 45/30
• x/10 = 15/45
• x/10 = 30/15

Solve for x.

• 8
• 6
• 5
• -8

Which proportion should you use to find x?

• 15 / x = 7 / 14

• x / 7 = 14 / 15

• 7 / x = 15 / 14

• x / 15 = 7 / 14

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown.  What is AB to the nearest meter?

• 10
• 12
• 15
• 18

The accompanying diagram shows a 24-foot ladder leaning against a building. A steel brace extends from the ladder to the point where the building meets the ground. The brace forms a right angle with the ladder.If the steel brace is connected to the ladder at a point that is 10 feet from the foot of the ladder, which equation can be used to find the length, x, of the steel brace?

• $\frac{10}{x}=\frac{x}{14}$

• $\frac{10}{x}=\frac{x}{24}$

• $10^2+x^2=14^2$

• $10^2+x^2=24^2$

Find the value of x.

• 0

• 48

• 4.9

• 24