7.2 Similarity and Scale Factor

Front

What is similarity in geometry?

Back

Similarity in geometry refers to figures that have the same shape but may differ in size. Corresponding angles are equal, and 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 geometry, it is the ratio of the lengths of corresponding sides of two similar figures.

Front

If the scale factor is 2, what does this indicate about the size of the new figure?

Back

If the scale factor is 2, the new figure is an enlargement, meaning it is twice the size of the original figure.

Front

What happens to the dimensions of a figure if the scale factor is less than 1?

Back

If the scale factor is less than 1, the figure is reduced in size, resulting in a smaller figure.

Front

How do you find the scale factor between two similar figures?

Back

To find the scale factor, divide the length of a side of the larger figure by the length of the corresponding side of the smaller figure.

Front

What is the relationship between corresponding angles in similar figures?

Back

In similar figures, corresponding angles are equal.

Front

If triangle ABC is similar to triangle DEF, what can be said about their corresponding sides?

Back

The lengths of the corresponding sides of triangle ABC and triangle DEF are in proportion.

Front

What is the scale factor from a small triangle with sides 3, 4, 5 to a larger triangle with sides 6, 8, 10?

Back

The scale factor is 2, as each side of the larger triangle is twice the length of the corresponding side of the smaller triangle.

Front

What does it mean for two figures to be proportional?

Back

Two figures are proportional if their corresponding sides are in the same ratio.

Front

If the scale factor from a large rectangle to a small rectangle is 1/3, what does this indicate?

Back

This indicates that the small rectangle is a reduction of the large rectangle, with each side being one-third the length of the corresponding side of the large rectangle.