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 lengths of their corresponding sides 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. It indicates how much one figure has been enlarged or reduced compared to the other.

Tags

CCSS.7.G.A.1

Front

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

Back

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

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

The ratio of the areas of two similar triangles is the square of the ratio of their corresponding sides. Therefore, the area ratio is (2^2):(3^2) = 4:9.

Front

How do you find a missing side in similar figures?

Back

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

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 triangle ABC is similar to triangle DEF, and AB = 4 cm, DE = 8 cm, what is the scale factor?

Back

The scale factor is 8/4 = 2.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between corresponding sides of similar figures?

Back

The lengths of corresponding sides of similar figures are in proportion to each other.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If two similar rectangles have a scale factor of 1:5, how does this affect their areas?

Back

If the scale factor is 1:5, the area of the larger rectangle is 5^2 = 25 times the area of the smaller rectangle.

Tags

CCSS.7.G.A.1

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