Math 7 - Lesson 4-5 - Similar Figures & Proportion Word Problems

Front

What are 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 a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if a/b = c/d, then a, b, c, and d are in proportion.

Front

How do you find the missing side of similar figures?

Back

To find the missing side, set up a proportion using the lengths of the corresponding sides of the similar figures.

Front

What are corresponding sides?

Back

Corresponding sides are the sides of similar figures that are in the same relative position.

Front

What is the formula for finding 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 two triangles are similar, what can you say about their angles?

Back

If two triangles are similar, their corresponding angles 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 relationship between the lengths of corresponding sides in similar figures?

Back

The lengths of corresponding sides in similar figures are proportional to each other.

Front

If a rectangle has a length of 4 cm and a width of 2 cm, what is the scale factor if a similar rectangle has a length of 8 cm?

Back

The scale factor is 2, since 8 cm (length of the larger rectangle) divided by 4 cm (length of the smaller rectangle) equals 2.

Front

What is the definition of congruent figures?

Back

Congruent figures are shapes that are identical in shape and size. Their corresponding sides and angles are equal.