D88 Activity: 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 corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

How do you determine if two figures are similar?

Back

Two figures are similar if their corresponding angles are equal and the ratios of the lengths of their corresponding sides are equal.

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 two corresponding sides of 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 rectangles are similar, what can you say about their areas?

Back

The areas of two similar rectangles are proportional to the square of the scale factor between them.

Front

Find the missing side length if the scale factor is 3 and one side is 9.

Back

27 (since 9 * 3 = 27).

Tags

CCSS.7.G.A.1

Front

If rectangle ABCD is similar to rectangle EFGH and the length of side AB is 12, what is the length of side EF if the scale factor is 2?

Back

24 (since 12 * 2 = 24).

Tags

CCSS.7.G.A.1

Front

What is the relationship between the perimeters of similar figures?

Back

The perimeters of similar figures are proportional to the scale factor.

Front

If the scale factor between two similar triangles is 4, and the length of one side of the smaller triangle is 5, what is the length of the corresponding side in the larger triangle?

Back

20 (since 5 * 4 = 20).

Tags

CCSS.7.G.A.1

Front

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

Back

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

Tags

CCSS.HSG.SRT.A.2

Front

If triangle XYZ is similar to triangle PQR and the lengths of sides XY and PQ are 6 and 3 respectively, what is the scale factor?

Back

2 (since 6 / 3 = 2).

Tags

CCSS.HSG.SRT.A.2