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 ratios of their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the criteria for two figures to be similar?

Back

Two figures are similar if their corresponding angles are equal and the ratios of their corresponding sides 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 corresponding sides?

Back

The lengths of their corresponding sides are in proportion.

Tags

CCSS.HSG.SRT.A.2

Front

How do you find the missing side of similar figures?

Back

To find the 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 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

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 figures is 3:5, and one side of the smaller figure is 9 cm, what is the corresponding side of the larger figure?

Back

The corresponding side of the larger figure is 15 cm.

Tags

CCSS.7.G.A.1

Front

What happens to the area of similar figures when the scale factor is doubled?

Back

The area of similar figures increases by a factor of the square of the scale factor. If the scale factor is doubled (2:1), the area increases by a factor of 4.

Tags

CCSS.7.G.A.1

Front

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

Back

The perimeter of the larger rectangle is 4 times the perimeter of the smaller rectangle.

Front

What is the relationship between the angles of similar figures?

Back

The corresponding angles of similar figures are equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6