Similar Figures

Front

What does similar mean?

Back

same shape

Front

Are two figures similar if all pairs of corresponding angles are congruent?

Back

Yes, all pairs of corresponding angles are congruent.

Front

Lance the alien is 5 feet tall. His shadow is 8 feet long. At the same time of day, a tree's shadow is 32 feet long. What is the height of the tree?

Back

20 feet

Front

If two triangles are similar, what can we say about the ratios of their corresponding sides?

Back

The ratios of their corresponding sides are equal.

Front

What is the relationship between corresponding angles in similar figures?

Back

Corresponding angles are equal.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 8 cm, what is the ratio of their corresponding sides?

Back

1:2

Front

Solve for x: 2x + 3 = 15.

Back

x = 6

Front

Solve for x: 3x - 9 = 0.

Back

x = 3

Front

If two figures are similar, what can we say about their areas?

Back

The ratio of their areas is the square of the ratio of their corresponding sides.

Front

What is the scale factor if two similar figures have a ratio of 3:5?

Back

The scale factor is 3/5.