similarity review chapter 8

Front

What is similarity in geometry?

Back

Similarity in geometry refers to two shapes that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is a scale factor?

Back

A scale factor is a number that scales, or multiplies, some quantity. In the context of similarity, it is the ratio of the lengths of corresponding sides of two similar figures.

Front

What does it mean for a shape to be a dilation?

Back

A dilation is a transformation that alters the size of a shape but not its shape. It can be an enlargement (scale factor greater than 1) or a reduction (scale factor less than 1).

Front

How do you determine if a dilation is an enlargement or a reduction?

Back

If the scale factor is greater than 1, it is an enlargement. If the scale factor is less than 1, it is a reduction.

Front

If the scale factor from shape A to shape B is 2/3, what does this indicate?

Back

This indicates that shape B is a reduction of shape A, meaning shape B is smaller than shape A by a factor of 2/3.

Front

What are corresponding angles in similar figures?

Back

Corresponding angles are angles that are in the same position in two different shapes. In similar figures, these angles are equal.

Front

What are corresponding sides in similar figures?

Back

Corresponding sides are the sides that are in the same position in two different shapes. In similar figures, the lengths of these sides are proportional.

Front

How can you find the area of a similar figure?

Back

To find the area of a similar figure, you can use the square of the scale factor. If the scale factor is k, then the area ratio is k^2.

Front

If a picture frame has dimensions of 4 in by 5 in, what would be a similar frame?

Back

A similar frame could have dimensions of 8 in by 10 in, as it maintains the same ratio of 4:5.

Front

What is the relationship between the perimeters of similar figures?

Back

The ratio of the perimeters of similar figures is equal to the scale factor.