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 property of corresponding angles in similar triangles?

Back

Corresponding angles in similar triangles are equal.

Front

If triangle ABC is similar to triangle DEF, what can be said about their sides?

Back

The ratios of the lengths of corresponding sides of similar triangles are equal.

Front

How do you find the missing side of a similar triangle?

Back

Use the proportion of the lengths of corresponding sides to set up an equation and solve for the missing side.

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.

Front

If two triangles have sides of lengths 3 cm and 6 cm, what is the scale factor?

Back

The scale factor is 1:2.

Front

What is the relationship between the areas of two similar figures?

Back

The ratio of their areas is the square of the ratio of their corresponding side lengths.

Front

If triangle ABC has an area of 50 cm² and is similar to triangle DEF, which has a scale factor of 3:2, what is the area of triangle DEF?

Back

The area of triangle DEF is 50 * (2/3)² = 50 * 4/9 = 22.22 cm².

Front

What is the formula for finding the height of a tree using similar triangles?

Back

Height of tree = (Height of object / Length of object) * Length of tree shadow.

Front

If triangle ABC is similar to triangle DEF and the length of side AB is 10 cm while side DE is 15 cm, what is the ratio of their sides?

Back

The ratio of their sides is 10:15 or 2:3.