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 their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the relationship between corresponding angles in similar figures?

Back

Corresponding angles in similar figures are congruent (equal in measure).

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the relationship between corresponding sides in similar figures?

Back

Corresponding sides in similar figures are proportional, meaning the ratios of their lengths are equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

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

Back

The lengths of the corresponding sides of similar triangles are in proportion.

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

The ratio of the corresponding sides AB to DE is 1:2.

Tags

CCSS.HSG.SRT.A.2

Front

How do you find a missing side in similar figures?

Back

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

Tags

CCSS.HSG.SRT.A.2

Front

If two figures are similar, what can be said about their perimeters?

Back

The ratio of the perimeters of similar figures is the same as the ratio of their corresponding sides.

Front

What is the scale factor in similar figures?

Back

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

Tags

CCSS.7.G.A.1

Front

If the scale factor of two similar triangles is 3:5, and the length of one side of the smaller triangle is 9 cm, what is the length of the corresponding side in the larger triangle?

Back

The length of the corresponding side in the larger triangle is 15 cm.

Tags

CCSS.7.G.A.1

Front

Are two rectangles with the same shape but different sizes similar?

Back

Yes, two rectangles with the same shape but different sizes are similar.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6