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

What does it mean for two figures to be similar?

Back

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

Front

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

Back

The lengths of their corresponding sides are in proportion.

Front

What is the similarity statement for triangles ΔABC and ΔDEF?

Back

ΔABC ∼ ΔDEF means triangle ABC is similar to triangle DEF.

Front

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

Back

The scale factor is found by dividing the length of a side of one figure by the length of the corresponding side of the other figure.

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 relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

If the sides of a triangle are in the ratio 3:6:10, what is the ratio of the sides of a similar triangle?

Back

The sides of a similar triangle can be in the ratio 1.5:3:5 for any value of k.

Front

What is the formula for finding the area of similar figures?

Back

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

Front

If two rectangles are similar, how do you find the length of a side of one rectangle if you know the length of the corresponding side of the other rectangle?

Back

Multiply the length of the corresponding side by the scale factor.