Intermediate Geometry : How to find if parallelograms are similar

Study concepts, example questions & explanations for Intermediate Geometry

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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. 

Possible Answers:

 and 

 and 

 and 

 and 

Correct answer:

 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. 

Possible Answers:

 and 

 and 

 and 

 and 

Correct answer:

 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 #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. 

Possible Answers:

Correct answer:

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 #3 : 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. 

Possible Answers:

Correct answer:

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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