Similar Figures

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 the lengths of their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What does it mean for two figures to be proportional?

Back

Two figures are proportional if the ratios of their corresponding side lengths are equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If two triangles are similar, what can we say about their angles?

Back

If two triangles are similar, their corresponding angles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

How do you find the missing side length in similar figures?

Back

To find the missing side length, set up a proportion using the lengths of the corresponding sides of the similar figures.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle ABC is similar to triangle DEF, and AB = 4 cm, DE = 8 cm, what is the ratio of their sides?

Back

The ratio of their sides is 1:2.

Tags

CCSS.HSG.SRT.A.2

Front

If two similar rectangles have side lengths of 3 cm and 6 cm, what is the scale factor?

Back

The scale factor is 1:2.

Tags

CCSS.7.G.A.1

Front

What is the formula for finding the area of similar figures?

Back

The area of similar figures is proportional to the square of the scale factor between them.

Front

If the scale factor between two similar figures is 3:5, what is the ratio of their areas?

Back

The ratio of their areas is 9:25.

Tags

CCSS.7.G.A.1

Front

How do you solve for a missing variable in a proportion?

Back

Cross-multiply the known values and then solve for the unknown variable.

Tags

CCSS.7.G.A.1

Front

If a triangle has sides of lengths 5 cm, 12 cm, and 13 cm, and is similar to another triangle, what can we say about the second triangle's sides?

Back

The sides of the second triangle will be in the same ratio as 5:12:13, but may be of different lengths.

Tags

CCSS.HSG.SRT.A.2