Similarity Review

Front

What is a midsegment in a triangle?

Back

A midsegment is a line segment that connects the midpoints of two sides of a triangle. It is parallel to the third side and its length is half the length of that side.

Front

If QR is a midsegment of triangle WUV and its length is 8, what is the length of side WU?

Back

The length of side WU is 16, since the midsegment is half the length of the side it is parallel to.

Front

What is the relationship between angles in similar figures?

Back

All corresponding angles in similar figures are congruent.

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The lengths of corresponding sides of similar triangles are proportional.

Front

What is the scale factor in similar triangles?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures.

Front

If triangle ABC is similar to triangle DEF and the length of side AB is 6 and side DE is 9, what is the scale factor?

Back

The scale factor is 3:2.

Front

How do you find the missing length in similar triangles?

Back

Set up a proportion using the lengths of corresponding sides and solve for the missing length.

Front

If the angles of triangle XYZ are 30°, 60°, and 90°, what type of triangle is it?

Back

It is a right triangle.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size, meaning their corresponding angles are equal and their corresponding sides are proportional.

Front

If triangle GHI is similar to triangle JKL and the length of side GH is 10 and side JK is 5, what is the ratio of their areas?

Back

The ratio of their areas is 4:1, since the area ratio is the square of the ratio of corresponding sides.