# Intermediate Geometry : How to find if parallelograms are similar

## Example Questions

### Example Question #100 : Parallelograms

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 #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 ratio of the first parallelogram is: Applying this ratio we are able to find the lengths of a similar parallelogram. ### Example Question #441 : Intermediate Geometry

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 #103 : Parallelograms

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.

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