Properties of Dilation and Similar Figures

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size, and their corresponding side lengths are proportional.

Front

What are corresponding angles?

Back

Corresponding angles are angles that are in the same position in two different figures when the figures are similar.

Front

What is the scale factor in dilation?

Back

The scale factor is the ratio of the lengths of two corresponding sides of similar figures, indicating how much the figure has been enlarged or reduced.

Front

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

Back

All corresponding angles in similar triangles are congruent.

Front

What is the relationship between the side lengths of similar figures?

Back

The side lengths of similar figures are proportional to each other.

Front

How do you determine if two figures are similar?

Back

To determine if two figures are similar, check if their corresponding angles are equal and their corresponding sides are proportional.

Front

What is the definition of congruent figures?

Back

Congruent figures are figures that are the same shape and size, meaning all corresponding sides and angles are equal.

Front

If a triangle has a scale factor of 2, what happens to its side lengths?

Back

If a triangle has a scale factor of 2, each side length of the triangle is doubled.

Front

What is the scale factor if a smaller triangle is transformed into a larger triangle with side lengths of 4 and 8?

Back

The scale factor is 2, as 8 divided by 4 equals 2.

Front

What is the missing side if two similar triangles have sides of 7 and x, and the corresponding side is 28?

Back

x = 63, because the ratio of the sides must remain constant.