Similar Shapes and Proportions

Front

What are similar shapes?

Back

Shapes that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What does it mean for sides to be proportional in similar polygons?

Back

It means that the ratios of the lengths of corresponding sides are equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the relationship between corresponding angles in similar polygons?

Back

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

How do you find the length of a side in similar shapes?

Back

You can use the ratio of the lengths of corresponding sides to set up a proportion and solve for the unknown side length.

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 two triangles are similar, how can you find an unknown side length?

Back

Set up a proportion using the lengths of corresponding sides and solve for the unknown side.

Tags

CCSS.HSG.SRT.A.2

Front

What is the formula for finding the scale factor between two similar shapes?

Back

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

Tags

CCSS.7.G.A.1

Front

How can you determine if two polygons are similar?

Back

Two polygons are similar if 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 significance of the scale factor in similar shapes?

Back

The scale factor indicates how much larger or smaller one shape is compared to another.

Tags

CCSS.7.G.A.1

Front

What is the first step in solving a proportion?

Back

Identify the corresponding sides or quantities and set up the proportion.

Tags

CCSS.7.G.A.1