### All Intermediate Geometry Resources

## Example Questions

### Example Question #1 : 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

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

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 #3 : Kites

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

**Possible Answers:**

**Correct answer:**

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:**

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 .