7.5A & 7.5C Proportionality & Similar Figures Knowledge Check

Front

What are similar figures?

Back

Similar figures have the same shape but not necessarily the same size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is the scale of a map?

Back

The scale of a map is the ratio of a distance on the map to the actual distance it represents in real life.

Front

If 1 cm on a map represents 20 km, what is the actual distance for 3.5 cm?

Back

The actual distance is 70 km (3.5 cm x 20 km/cm).

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

How do you find the corresponding sides of similar figures?

Back

To find corresponding sides, compare the ratios of the lengths of the sides of the figures.

Front

What is the scale used in Fernando's drawing if 13 inches represents 78 feet?

Back

The scale is 1 inch = 6 feet (78 feet / 13 inches).

Front

What is the value of x if triangle ABC is similar to triangle FGH and x = 22.5 cm?

Back

The value of x represents a corresponding side length in triangle FGH that is proportional to a side in triangle ABC.

Front

What is a proportion?

Back

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

Front

How do you set up a proportion for similar figures?

Back

Set up a proportion by equating the ratios of corresponding sides of the similar figures.

Front

What is the relationship between the angles of similar figures?

Back

The corresponding angles of similar figures are equal.