Similar Figures

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may be different in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What does it mean for two figures to be proportional?

Back

Two figures are proportional if the ratios of their corresponding side lengths are equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If two triangles have side lengths of 3, 4, and 5, and 6, 8, and 10, are they similar?

Back

Yes, they are similar because the ratios of their corresponding sides (3:6, 4:8, 5:10) are all equal (1:2).

Tags

CCSS.HSG.SRT.A.2

Front

How do you find the missing side length in similar figures?

Back

To find the missing side length, set up a proportion using the known side lengths of the similar figures.

Tags

CCSS.HSG.SRT.A.2

Front

If figure A has a side length of 10 and figure B has a corresponding side length of 5, what is the scale factor?

Back

The scale factor is 1:2, meaning figure B is half the size of figure A.

Tags

CCSS.7.G.A.1

Front

What is the scale factor if figure A has a side length of 8 and figure B has a corresponding side length of 4?

Back

The scale factor is 1:2.

Tags

CCSS.7.G.A.1

Front

Are two figures similar if they have the same shape but different angles?

Back

No, two figures cannot be similar if their angles are different.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If two rectangles have side lengths of 2:4 and 3:6, are they similar?

Back

Yes, they are similar because the ratios of their corresponding sides (2:3 and 4:6) are equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the relationship between the areas of two similar figures?

Back

The ratio of their areas is the square of the ratio of their corresponding side lengths.

Front

If the side lengths of two similar triangles are in the ratio 3:5, what is the ratio of their areas?

Back

The ratio of their areas is 3²:5², which is 9:25.