HSG-SRT.A.2 Review

Front

If two figures are similar, what must be true about their corresponding sides?

Back

They are proportional.

Front

What is true for similar triangles regarding their angles?

Back

Their corresponding angles are equal.

Front

Given two triangles, \(\triangle ABC\) and \(\triangle DEF\), where \(\angle A = \angle D\), \(\angle B = \angle E\), and \(\angle C = \angle F\), are these triangles similar?

Back

Yes, because all corresponding angles are equal.

Front

If two rectangles are similar and the length of the first rectangle is 8 and the width is 4, what is the width of the second rectangle if its length is 16?

Back

8

Front

If two triangles are similar and the ratio of their corresponding sides is 4, what is the ratio of their perimeters?

Back

4

Front

What does it mean for two figures to be similar?

Back

They have the same shape but not necessarily the same size.

Front

What is the relationship between the areas of two similar figures if the ratio of their corresponding sides is \(k\)?

Back

The ratio of their areas is \(k^2\).

Front

If two triangles are similar with a side ratio of 3:5, what is the ratio of their heights?

Back

3:5.

Front

What is the definition of corresponding angles in similar triangles?

Back

Angles that are in the same relative position in similar figures.

Front

If triangle ABC is similar to triangle DEF, what can be said about their corresponding sides?

Back

The lengths of corresponding sides are in proportion.