Similar Figures

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but may differ in size, meaning their corresponding angles are equal and their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

How can you determine if two figures are similar?

Back

To determine if two figures are similar, check if their corresponding angles are equal and if the ratios of their corresponding sides are equal (proportional).

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the relationship between the side lengths of similar figures?

Back

The side lengths of similar figures are proportional, meaning the ratio of the lengths of corresponding sides is constant.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If two figures are similar and one side of the first figure is 4 cm, and the corresponding side of the second figure is 8 cm, what is the scale factor?

Back

The scale factor is 2, since 8 cm / 4 cm = 2.

Tags

CCSS.7.G.A.1

Front

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

Back

A 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

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

Tags

CCSS.HSG.SRT.A.2

Front

What is the significance of proportional sides in similar figures?

Back

Proportional sides in similar figures indicate that the figures are scaled versions of each other, maintaining the same shape.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

Can two figures be similar if they have different shapes?

Back

No, two figures cannot be similar if they have different shapes; they must have the same shape.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 5 cm and side DE is 10 cm, what is the ratio of the lengths of the sides?

Back

The ratio of the lengths of the sides is 1:2.

Tags

CCSS.HSG.SRT.A.2

Front

What is the formula for finding the missing side in similar figures?

Back

The formula for finding the missing side in similar figures is: (length of known side in figure 1) / (length of corresponding side in figure 2) = (length of missing side in figure 1) / (length of corresponding side in figure 2).

Tags

CCSS.HSG.SRT.A.2