# Intermediate Geometry : How to find if parallelograms are similar

## Example Questions

### Example Question #1 : How To Find If Parallelograms Are Similar

A parallelogram has adjacent sides with the lengths of  and . Find a pair of possible adjacent side lengths for a similar parallelogram.

and

and

and

and

and

Explanation:

Since the two parallelogram are similar, each of the corresponding sides must have the same ratio.

The solution is:

, (divide both numbers by the common divisor of ).

### Example Question #2 : How To Find If Parallelograms Are Similar

A parallelogram has adjacent sides with the lengths of  and . Find a pair of possible adjacent side lengths for a similar parallelogram.

and

and

and

and

and

Explanation:

Since the two parallelogram are similar, each of the corresponding sides must have the same ratio.

The ratio of the first parallelogram is:

Applying this ratio we are able to find the lengths of a similar parallelogram.

### Example Question #1 : How To Find If Parallelograms Are Similar

A parallelogram has adjacent sides with the lengths of  and . Find a pair of possible adjacent side lengths for a similar parallelogram.

Explanation:

Since the two parallelogram are similar, each of the corresponding sides must have the same ratio.

The ratio of the first parallelogram is:

Applying this ratio we are able to find the lengths of the second parallelogram.

### Example Question #2 : How To Find If Parallelograms Are Similar

A parallelogram has adjacent sides with the lengths of  and . Find a pair of possible adjacent side lengths for a similar parallelogram.

Explanation:

Since the two parallelogram are similar, each of the corresponding sides must have the same ratio.

The ratio of the first parallelogram is:

Thus by simplifying the ratio we can see the lengths of the similar triangle.