Proportions and Similar Figures

Front

What is a proportion?

Back

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

Tags

CCSS.7.RP.A.2A

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Tags

CCSS.HSG.CO.B.6

CCSS.8.G.A.2

Front

How do you find the length of the hypotenuse in a 30-60-90 triangle if the short leg is known?

Back

Multiply the length of the short leg by 2 to find the hypotenuse.

Tags

CCSS.8.G.B.8

Front

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

Back

The ratios of their corresponding sides are equal.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the angles of similar figures?

Back

The corresponding angles of similar figures are equal.

Tags

CCSS.HSG.CO.B.6

CCSS.8.G.A.2

Front

If the sides of two similar triangles are in the ratio 3:5, what is the ratio of their areas?

Back

The ratio of their areas is the square of the ratio of their corresponding sides, which is 9:25.

Front

What is the formula for finding the area of a triangle?

Back

Area = 1/2 * base * height.

Tags

CCSS.6.G.A.1

Front

In a right triangle, if one leg is 4 and the other leg is 4√3, what is the length of the hypotenuse?

Back

The hypotenuse is 8.

Tags

CCSS.8.G.B.7

Front

What does it mean for two shapes to be congruent?

Back

Congruent shapes are identical in shape and size; they can be superimposed on each other.

Tags

CCSS.8.G.A.2

Front

How do you solve for a missing side in similar triangles?

Back

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

Tags

CCSS.HSG.SRT.A.2