Similarity and Proportions

Front

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

Back

proportional

Front

The ratio of the lengths of corresponding sides of two similar polygons is called the ___________.

Back

scale factor

Front

In similar triangles, the ratio of the areas is equal to the square of the ___________.

Back

scale factor

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 6 cm and side DE is 9 cm, what is the scale factor?

Back

2/3

Front

If two triangles are similar and the length of one side of the first triangle is 10 cm, and the corresponding side of the second triangle is 15 cm, what is the ratio of their perimeters?

Back

2:3

Front

The corresponding angles of similar polygons are ___________.

Back

congruent

Front

If the scale factor of two similar polygons is 4:5, and the area of the smaller polygon is 36 cm², what is the area of the larger polygon?

Back

45 cm²

Front

To find a missing side length in similar polygons, you can set up a proportion using the ___________ of the corresponding sides.

Back

ratios

Front

If two similar rectangles have lengths of 8 cm and 12 cm, what is the ratio of their widths if the width of the smaller rectangle is 5 cm?

Back

7.5 cm

Front

If the lengths of two similar triangles are in the ratio 3:4, what is the ratio of their heights?

Back

3:4