Similar Figures - Extra Credit

Front

What are similar figures?

Back

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

Front

What is true about the angles in similar figures?

Back

All corresponding angles in similar figures are congruent.

Front

If two figures are similar, what can be said about their sides?

Back

The ratios of the lengths of corresponding sides are equal.

Front

What is the relationship between the area of similar figures?

Back

The ratio of the areas of two similar figures is the square of the ratio of their corresponding side lengths.

Front

If the sides of two similar triangles 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 angles to be congruent?

Back

Congruent angles have the same measure.

Front

How do you find a missing side length in similar figures?

Back

Use the proportion of the corresponding sides to set up a ratio and solve for the missing length.

Front

If triangle A is similar to triangle B and the length of a side in triangle A is 10, what could be the length of the corresponding side in triangle B if the ratio is 1:2?

Back

The corresponding side in triangle B would be 20.

Front

What is the significance of the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of similar figures.

Front

If two similar rectangles have a scale factor of 1:4, what is the ratio of their perimeters?

Back

The ratio of their perimeters is also 1:4.