Transformations Test Review

Front

What are dilations in geometry?

Back

Dilations are transformations that produce a figure similar to the original, but not congruent. They change the size of the figure while maintaining its shape.

Front

What is the rule for translating a point (x, y) to the right by 2 and down by 1?

Back

The rule for this translation is (x + 2, y - 1).

Front

What is the formula for scale factor in dilations?

Back

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

If a shape is dilated by a scale factor of 1/2, how does it affect the perimeter?

Back

The new perimeter is 1/2 the original perimeter.

Front

What does it mean for two shapes to be similar?

Back

Two shapes are similar if they have the same shape but not necessarily the same size; their corresponding angles are equal and their sides are in proportion.

Front

What is the scale factor if two similar triangles have sides of lengths 4 and 8?

Back

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

Front

What happens to the area of a shape when it is dilated by a scale factor of k?

Back

The area of the shape is multiplied by k^2.

Front

What is the effect of a dilation with a scale factor greater than 1?

Back

A dilation with a scale factor greater than 1 enlarges the shape.

Front

What is the effect of a dilation with a scale factor less than 1?

Back

A dilation with a scale factor less than 1 reduces the size of the shape.