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

How do you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are congruent and the lengths of their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the relationship between corresponding sides of similar figures?

Back

The lengths of corresponding sides of similar figures are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the relationship between corresponding angles of similar figures?

Back

The corresponding angles of similar figures are congruent.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

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

Back

The areas of two similar triangles are in the ratio of the squares of the lengths of their corresponding sides.

Front

If the sides of two similar figures are in the ratio 2:3, what is the ratio of their areas?

Back

The ratio of their areas will be 4:9, since area ratios are the square of the side length ratios.

Front

What is a scale factor in the context of similar figures?

Back

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

Tags

CCSS.7.G.A.1

Front

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

Back

You can find a missing side length by setting up a proportion using the lengths of corresponding sides.

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

The area of a triangle is given by the formula: Area = 1/2 * base * height.

Tags

CCSS.6.G.A.1

Front

If two similar polygons have a scale factor of 1:4, what is the ratio of their perimeters?

Back

The ratio of their perimeters will also be 1:4.