Unit 7 Proportions and Similarities Review

Front

What is a proportion?

Back

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

Front

Define similar figures.

Back

Similar figures are 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 the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of two corresponding sides of similar figures.

Front

If two triangles are similar, what can be said about their corresponding angles?

Back

The corresponding angles of similar triangles are equal.

Front

How do you find the length of a side in a similar figure?

Back

To find the length of a side in a similar figure, use the scale factor to multiply the corresponding side length from the original figure.

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.

Front

If a rectangle has dimensions 8 cm by 18 cm, what are the dimensions of a similar rectangle with a scale factor of 1.5?

Back

The dimensions would be 12 cm by 27 cm.

Front

What is the formula for finding the scale factor between two similar triangles?

Back

Scale factor = Length of a side in the second triangle / Length of the corresponding side in the first triangle.

Front

If triangle ABC is similar to triangle DEF, and AB = 5 cm, DE = 10 cm, what is the scale factor from triangle ABC to triangle DEF?

Back

The scale factor is 2.

Front

What does it mean for two shapes to be congruent?

Back

Two shapes are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.