Similarity

Front

What is similarity in geometry?

Back

Similarity in geometry refers to figures that have the same shape but may differ in size. Corresponding angles are equal, and corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Tags

CCSS.7.RP.A.2A

Front

How do you solve for a missing value in a proportion?

Back

To solve for a missing value in a proportion, cross-multiply the known values and then isolate the variable. For example, if x/20 = 9/15, then 15x = 180, so x = 12.

Tags

CCSS.7.G.A.1

Front

What is the property of similar triangles?

Back

The property of similar triangles states that the ratios of the lengths of corresponding sides are equal, and the corresponding angles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

How can you use shadows to find the height of an object?

Back

You can use similar triangles formed by the object and its shadow to find its height. Measure the length of the shadow and the height of a reference object to set up a proportion.

Tags

CCSS.HSG.SRT.C.8

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 larger or smaller one figure is compared to the other.

Tags

CCSS.7.G.A.1

Front

If two triangles are similar, what can you say about their angles?

Back

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the formula for finding the area of similar figures?

Back

The area of similar figures is proportional to the square of the scale factor. If the scale factor is k, then the ratio of the areas is k^2.

Front

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

Back

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

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the sides of similar rectangles?

Back

The sides of similar rectangles are in proportion, meaning the ratio of the lengths of one rectangle to the other is constant.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6