Proportions and Similar Triangles

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

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

Back

The corresponding angles of similar triangles are equal.

Front

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

Back

The corresponding sides of similar triangles are in proportion.

Front

Solve for x: 3/4 = x/12.

Back

x = 9.

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.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 6 cm and side DE is 9 cm, what is the ratio of their corresponding sides?

Back

The ratio of their corresponding sides is 2:3.

Front

Solve for k: 5/k = 15/9.

Back

k = 3.

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 two triangles have a scale factor of 1:2, what can be said about their areas?

Back

The area of the larger triangle is four times the area of the smaller triangle.

Front

Solve for q: 8/q = 4/2.

Back

q = 4.