Dilations & Similar Figures Review

Front

What is a dilation in geometry?

Back

A dilation is a transformation that alters the size of a figure but maintains its shape, using a center point and a scale factor.

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, meaning their corresponding angles are equal and their corresponding sides are proportional.

Front

How do you determine if triangles are similar using the AA criterion?

Back

Triangles are similar by the AA criterion if two angles of one triangle are equal to two angles of another triangle.

Front

What is the SSS similarity criterion?

Back

The SSS similarity criterion states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the SAS similarity criterion?

Back

The SAS similarity criterion states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

What are corresponding angles?

Back

Corresponding angles are angles that are in the same position on two different parallel lines cut by a transversal.

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles that are on opposite sides of the transversal and inside the two lines.

Front

What is the scale factor in a dilation?

Back

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

Front

If a triangle has sides of lengths 3, 4, and 5, what are the lengths of the sides of a similar triangle with a scale factor of 2?

Back

The lengths of the sides of the similar triangle would be 6, 8, and 10.

Front

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

Back

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