Similar Figures

Front

Two objects that are the same shape but not the same size are _______.

Back

Similar

Front

Are the following similar? Why or why not?

Back

Yes

Front

The trapezoids are similar. What is the value of x? Be careful.

Back

15

Front

In the figures below, ∆QSR ~ ∆XYZ. Write a proportion and solve for side QS.

Back

15

Front

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?

Back

72 feet

Front

What is the definition of similar figures?

Back

Figures that have the same shape but not necessarily the same size.

Front

What is the relationship between corresponding angles in similar figures?

Back

Corresponding angles are equal.

Front

What is the relationship between the ratios of corresponding sides in similar figures?

Back

The ratios of corresponding sides are equal.

Front

If two triangles are similar, what can be said about their areas?

Back

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

Front

How do you determine if two polygons are similar?

Back

Check if corresponding angles are equal and the ratios of corresponding sides are equal.