Similar Figures and Scale Factor

Front

What are similar figures?

Back

Figures that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

What is a scale factor?

Back

A number that describes how much a figure is enlarged or reduced. It is the ratio of the lengths of corresponding sides of similar figures.

Front

If the scale factor is less than 1, what happens to the figure?

Back

The figure is reduced in size.

Front

If the scale factor is greater than 1, what happens to the figure?

Back

The figure is enlarged.

Front

What is the scale factor from ΔABC to ΔDEF if the sides of ΔABC are 4 cm and the corresponding sides of ΔDEF are 2 cm?

Back

1/2

Front

How can you determine if two figures are similar?

Back

Check if their corresponding angles are equal and their corresponding sides are proportional.

Front

What does it mean for sides to be proportional?

Back

The lengths of corresponding sides of two figures have the same ratio.

Front

What is the relationship between corresponding angles in similar figures?

Back

All corresponding angles are equal.

Front

If two triangles have a scale factor of 3, what does this mean?

Back

The sides of the second triangle are three times the length of the corresponding sides of the first triangle.

Front

What is the scale factor from a smaller triangle with sides 2 cm, 3 cm, and 4 cm to a larger triangle with sides 4 cm, 6 cm, and 8 cm?

Back

2