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 the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures. It indicates how much one figure has been enlarged or reduced compared to the other.

Front

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

Back

If two triangles are similar, their corresponding angles are equal.

Front

How do you set up a proportion to find a missing side in similar figures?

Back

To set up a proportion, you can use the ratio of corresponding sides. For example, if triangle A has sides a1 and a2, and triangle B has sides b1 and b2, you can set up the proportion a1/b1 = a2/b2.

Front

If a tree is 12 feet tall and casts a shadow of 9 feet, what is the height of a building that casts a shadow of 24 feet?

Back

The height of the building is 32 feet.

Front

What is the relationship between the sides of similar figures?

Back

The lengths of corresponding sides of similar figures are proportional.

Front

If two figures are similar and one side of the first figure is 5 cm and the corresponding side of the second figure is 15 cm, what is the scale factor?

Back

The scale factor is 3.

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

If triangle ABC is similar to triangle DEF, and the lengths of sides AB and DE are 4 cm and 8 cm respectively, what is the ratio of their areas?

Back

The ratio of their areas is 1:4.

Front

What does it mean if two figures are not similar?

Back

If two figures are not similar, it means they do not have the same shape, their corresponding angles are not equal, or their corresponding sides are not in proportion.