Similar Figures

Front

What are similar figures?

Back

Two figures that have the same shape but may have different sizes.

Front

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

Back

The corresponding angles of similar triangles are equal.

Front

If the sides of two similar figures are in the ratio 2:3, what is the ratio of their areas?

Back

The ratio of their areas is 4:9.

Front

What does it mean for two figures to be congruent?

Back

Two figures that are the same shape and size.

Front

How do you find the missing side of a similar figure?

Back

Use the ratio of the corresponding sides of the similar figures.

Front

If one triangle has sides of length 4, 6, and 8, and another triangle is similar with the shortest side of length 8, what are the lengths of the other sides?

Back

The other sides are 12 and 16.

Front

What is the scale factor in similar figures?

Back

The ratio of the lengths of corresponding sides of two similar figures.

Front

If two similar rectangles have a scale factor of 1:4, how does this affect their perimeters?

Back

The perimeter of the larger rectangle is 4 times that of the smaller rectangle.

Front

If a triangle has a height of 5 and is similar to another triangle with a height of 15, what is the ratio of their heights?

Back

The ratio of their heights is 1:3.

Front

What is the relationship between the lengths of corresponding sides of similar figures?

Back

The lengths of corresponding sides are proportional.