Geometry Similarity & Proportionality 3

Question 1

Two similar solids have a scale factor of 2. What is the ratio of their volumes?

Accepted Answer

8:1

Answer

2:1

Answer

4:1

Answer

6:1

Question 2

In a triangle, the angle bisector divides the opposite side into segments proportional to the:

Accepted Answer

Adjacent sides

Answer

Opposite angles

Answer

Other two angle bisectors

Answer

Median lengths

Question 3

If DE is parallel to BC in triangle ABC with AD = 4, DB = 6, and AE = 6, what is EC?

Accepted Answer

9

Answer

4

Answer

6

Answer

10

Question 4

Two similar pentagons have areas 16 cm² and 81 cm². What is the ratio of their sides?

Accepted Answer

4:9

Answer

16:81

Answer

2:3

Answer

8:27

Question 5

Which of the following always produces similar figures?

Accepted Answer

A dilation

Answer

A shear

Answer

A stretch in one direction

Answer

A random distortion

Question 6

The altitude to the hypotenuse of a right triangle creates two smaller triangles that are:

Accepted Answer

Similar to the original and each other

Answer

Congruent to each other

Answer

Equilateral

Answer

Isosceles

Question 7

A map uses a scale of 1 inch = 25 miles. Two cities are 3.5 inches apart. What is the actual distance?

Accepted Answer

87.5 miles

Answer

71.4 miles

Answer

28.5 miles

Answer

75 miles