Intermediate Geometry : How to find if kites are similar

Study concepts, example questions & explanations for Intermediate Geometry

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Example Questions

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

A kite has two different side lengths of  and . Find the measurements for a similar kite. 

Possible Answers:

 and 

 and 

 and 

 and 

 and 

Correct answer:

 and 

Explanation:

A kite is a geometric shape that has two sets of equivalent adjacent sides. In order for two kites to be similar their sides must have the same ratios. 

Since, the given kite has side lengths  and , they have the ratio of .

Therefore, find the side lengths that have a ratio of .

The only answer choice with this ratio is: 

Example Question #2 : Kites

A kite has two different side lengths of  and . Find the measurements for a similar kite. 

Possible Answers:

 and 

 and 

 and 

 and 

 and 

Correct answer:

 and 

Explanation:

A kite is a geometric shape that has two sets of equivalent adjacent sides. In order for two kites to be similar their sides must have the same ratios. 

The given side lengths for the kite are  and , which have the ratio of 

The only answer choice with the same relationship between side lengths is:  and , which has the ratio of 

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

Suppose the ratio of a kite's side lengths is  to .  Find a similar kite.

Possible Answers:

Correct answer:

Explanation:

To find a similar kite, first take the ratios of the two sides and convert this to fractional form.

Rationalize the denominator.

The ratios of  matches that of .

 

Example Question #4 : Kites

Suppose a kite has side lengths of  and .  What must the side lengths be for a similar kite?

Possible Answers:

Correct answer:

Explanation:

Write the side lengths 4 and 5 as a ratio.

The only side lengths that match this ratio by a scale factor of  is .

Therefore, the correct side lengths are .

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