How to find if parallelograms are similar - Intermediate Geometry

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Question

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

Answer

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 ).

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Question

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

Answer

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.

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Question

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

Answer

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.

Compare your answer with the correct one above

Question

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

Answer

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.

Compare your answer with the correct one above

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