Geometry Similarity & Proportionality 5

Question 1

The midsegment of a triangle is parallel to the third side and is what fraction of its length?

Accepted Answer

One half

Answer

A midsegment joins two midpoints and is half the length of the third side.

Question 2

Triangle ABC ~ triangle DEF. If AB = 8, DE = 12, and BC = 10, what is EF?

Accepted Answer

15

Answer

The ratio is 8/12 = 10/EF, so EF = 15.

Question 3

Which statement about similar figures is always true?

Accepted Answer

Corresponding angles are equal

Answer

Similar figures always have equal corresponding angles even if sizes differ.

Question 4

A scale model car is built at 1:18. If the real car is 180 inches long, the model is:

Accepted Answer

10 inches

Answer

Divide 180 by 18 to get 10 inches.

Question 5

In similar triangles, the ratio of corresponding medians equals the ratio of:

Accepted Answer

Corresponding sides

Answer

All corresponding linear measures, including medians, share the side ratio.

Geometry Practice Test