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 side lengths 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.

Tags

CCSS.7.G.A.1

Front

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

Back

The corresponding angles of similar triangles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

How do you find the height of an object using similar triangles?

Back

You can set up a proportion using the heights and shadow lengths of the objects to find the unknown height.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the sides of similar polygons?

Back

The sides of similar polygons are proportional to each other.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If a tree is 12 feet tall and casts a shadow of 9 feet, what is the height of a building that casts a shadow of 24 feet?

Back

The height of the building is 32 feet.

Tags

CCSS.HSG.SRT.B.4

Front

True or False: In similar figures, the ratio of corresponding side lengths is always the same.

Back

True.

Tags

CCSS.HSG.SRT.A.2

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 scale factor between two similar triangles is 2, what does this mean?

Back

It means that each side of the second triangle is twice as long as the corresponding side of the first triangle.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

How do you set up a proportion to solve for an unknown side length in similar figures?

Back

You set up a proportion by equating the ratios of corresponding side lengths.

Tags

CCSS.HSG.SRT.A.2