Geo REVIEW 7.1-7.2

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

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

Back

To find the scale factor, divide the length of a side of one figure by the length of the corresponding side of the other figure.

Front

What does it mean for two polygons to be similar?

Back

Two polygons are similar if their corresponding angles are congruent and the lengths of their corresponding sides are proportional.

Front

If two rectangles have different side lengths, can they be similar?

Back

No, two rectangles cannot be similar if their corresponding side lengths are not in proportion.

Front

What is a proportion in mathematics?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply and then divide to find the unknown value.

Front

What is the significance of corresponding angles in similar figures?

Back

Corresponding angles in similar figures are equal, which is a key criterion for determining similarity.

Front

If two triangles have one angle equal and the sides around that angle are in proportion, what can be said about the triangles?

Back

The triangles are similar by the Angle-Side-Angle (ASA) similarity criterion.

Front

What is the relationship between the scale factor and the area of similar figures?

Back

The area of similar figures is proportional to the square of the scale factor.

Front

If the scale factor of two similar figures is 2:3, what is the ratio of their areas?

Back

The ratio of their areas is 4:9, since (2^2):(3^2) = 4:9.