Intermediate Geometry : How to find if parallelograms are similar

Study concepts, example questions & explanations for Intermediate Geometry

varsity tutors app store varsity tutors android store

Example Questions

Example Question #270 :Quadrilaterals

A parallelogram has adjacent sides with the lengths ofand. 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 #1 :How To Find If Parallelograms Are Similar

A parallelogram has adjacent sides with the lengths ofand. 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 ofand. 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 ofand. 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.

Learning Tools by Varsity Tutors