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 the ratios of their corresponding sides are proportional.

Front

How do you determine if two figures are similar?

Back

To determine if two figures are similar, check if their corresponding angles are equal and if the ratios of their corresponding sides are equal.

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 a rectangle has a width of 4 cm and a length of 6 cm, what are the dimensions of a similar rectangle with a scale factor of 2?

Back

The dimensions of the similar rectangle would be 8 cm wide and 12 cm long.

Front

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

Back

The ratio of the areas of two similar figures is equal to the square of the ratio of their corresponding side lengths.

Front

If two triangles are similar and the length of one side of the first triangle is 5 cm and the corresponding side of the second triangle is 10 cm, what is the scale factor?

Back

The scale factor is 2.

Front

What does it mean for two figures to be proportional?

Back

Two figures are proportional if their corresponding sides are in the same ratio, meaning they can be scaled up or down without changing their shape.

Front

If a triangle has sides of lengths 3 cm, 4 cm, and 5 cm, what are the lengths of the sides of a similar triangle with a scale factor of 3?

Back

The lengths of the sides of the similar triangle would be 9 cm, 12 cm, and 15 cm.

Front

What is the importance of corresponding angles in similar figures?

Back

Corresponding angles in similar figures are important because they must be equal for the figures to be considered similar.

Front

If two parallelograms are similar and the length of one side of the first parallelogram is 6 in, what is the length of the corresponding side in the second parallelogram if the scale factor is 1.5?

Back

The length of the corresponding side in the second parallelogram would be 9 in.