Similarity

Front

What is similarity in geometry?

Back

Similarity in geometry refers to figures that have the same shape but may differ in size. Corresponding angles are equal, and 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 determines how much one figure is enlarged or reduced compared to the other.

Front

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

Back

All corresponding angles in similar triangles are congruent (equal in measure).

Front

If a triangle has sides of lengths 3, 4, and 5, what are the lengths of the sides of a similar triangle with a scale factor of 2?

Back

The lengths of the sides of the similar triangle would be 6, 8, and 10.

Front

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

Back

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

Front

What is the relationship between the perimeters of similar figures?

Back

The ratio of the perimeters of similar figures is equal to the scale factor.

Front

If two parallelograms are similar and the length of one side of the first parallelogram is 5 cm, what is the length of the corresponding side in the second parallelogram if the scale factor is 3?

Back

The length of the corresponding side in the second parallelogram would be 15 cm.

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same shape and size, meaning all corresponding sides and angles are equal.

Front

If the height of a rectangle is scaled down from 8 in. to 4 in., what happens to the width if the rectangle is similar?

Back

The width will also be scaled down by the same ratio, so if the original width was 6 in., the new width will be 3 in.

Front

What is the formula for the area of similar figures?

Back

The area of similar figures is proportional to the square of the scale factor. If the scale factor is k, then the ratio of the areas is k^2.