Similarity and Proportions

Front

If two polygons are similar, then the corresponding angles are ___________.

Back

congruent

Tags

CCSS.HSG.CO.B.6

CCSS.8.G.A.2

Front

If two polygons are similar, then the corresponding side lengths are ___________.

Back

proportional

Tags

CCSS.HSG.CO.B.6

CCSS.8.G.A.2

Front

What is the ratio of the lengths of corresponding sides in similar polygons called?

Back

Scale factor

Tags

CCSS.HSG.CO.B.6

CCSS.8.G.A.2

Front

If the scale factor of two similar triangles is 2:3, what is the ratio of their areas?

Back

4:9

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 6 cm, what is the scale factor?

Back

2:3

Tags

CCSS.HSG.SRT.A.2

Front

If two similar figures have a scale factor of 1:5, and the area of the smaller figure is 20 cm², what is the area of the larger figure?

Back

500 cm²

Front

In similar triangles, if one triangle has sides of lengths 3, 4, and 5, what are the lengths of the sides of a similar triangle with a scale factor of 2?

Back

6, 8, and 10

Tags

CCSS.HSG.CO.B.6

CCSS.8.G.A.2

Front

If two polygons are similar and the length of a side in the first polygon is 8 cm, what is the length of the corresponding side in the second polygon if the scale factor is 3:2?

Back

12 cm

Front

What is the relationship between the perimeters of two similar polygons?

Back

The ratio of their perimeters is equal to the ratio of their corresponding side lengths.

Front

If the corresponding sides of two similar triangles are in the ratio 5:7, what is the ratio of their heights?

Back

5:7