Similar Figures

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 scale factor?

Back

The scale factor is a ratio that compares the dimensions of two similar figures. It shows how much larger or smaller one figure is compared to the other.

Front

If two parallelograms are similar and one side of the first is 6 cm while the corresponding side of the second is 18 cm, what is the scale factor?

Back

1:3

Front

How do you find a missing side in similar figures?

Back

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

Front

If two similar triangles have sides in the ratio 3:5 and the smaller triangle has a side of 9 cm, what is the corresponding side length in the larger triangle?

Back

15 cm

Front

What is the relationship between the angles of similar figures?

Back

The corresponding angles of similar figures are equal.

Front

How do you calculate the actual size of an object from a scale model?

Back

Multiply the dimensions of the model by the scale factor to find the actual size.

Front

If a model airplane is built to a scale of 1:50 and has a wingspan of 2 feet, what is the wingspan of the actual airplane?

Back

100 feet

Front

What does it mean if two figures are not similar?

Back

If two figures are not similar, they do not have the same shape, and their corresponding angles are not equal.

Front

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

Back

Scale Factor = Length of a side in the second figure / Length of the corresponding side in the first figure.