Similar Figures

Front

What are similar figures?

Back

Figures that have the same shape but may differ in size.

Front

What is the ratio of corresponding sides in similar figures?

Back

The ratio of corresponding sides in similar figures is constant.

Front

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

Back

The corresponding angles of similar triangles are equal.

Front

How do you set up a proportion to find a missing side in similar figures?

Back

Set up a proportion using the ratios of corresponding sides.

Front

What is the term for sides that match in similar figures?

Back

Corresponding Sides.

Front

If a tree is 12 feet tall and casts a shadow of 9 feet, how tall is a building that casts a shadow of 24 feet?

Back

32 feet.

Front

What is the relationship between the areas of two similar figures?

Back

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

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they are the same shape and size.

Front

If two angles are corresponding angles in similar figures, what can be said about their measures?

Back

Their measures are equal.

Front

What is the formula to find the scale factor between two similar figures?

Back

Scale Factor = Length of a side of one figure / Length of the corresponding side of the other figure.