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 is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures. It indicates how much one figure has been enlarged or reduced compared to the other.

Tags

CCSS.7.G.A.1

Front

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

Back

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

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 scale factor?

Back

The scale factor is 2:1, meaning triangle DEF is twice the size of triangle ABC.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

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

Back

To find a missing side length in similar figures, set up a proportion using the lengths of corresponding sides and solve for the unknown.

Tags

CCSS.HSG.SRT.A.2

Front

If the sides of two similar rectangles 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 sides, so (3:5)² = 9:25.

Front

What is the relationship between the perimeters of similar figures?

Back

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

Front

If two similar figures have a scale factor of 1:4, how does this affect their areas?

Back

The area of the larger figure is 16 times greater than the area of the smaller figure, since area ratios are the square of the side length ratios.

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

If the lengths of two corresponding sides of similar triangles are 5 cm and 15 cm, what is the scale factor?

Back

The scale factor is 1:3.

Tags

CCSS.7.G.A.1