### All ACT Math Resources

## Example Questions

### Example Question #1 : How To Find The Length Of The Side Of A Kite

A kite has two adjacent sides both with a measurement of . The perimeter of the kite is . Find the length of one of the remaining two sides.

**Possible Answers:**

**Correct answer:**

A kite must have two sets of congruent adjacent sides. This question provides the length for one set of congruent adjacent sides, thus the two remaining sides must be congruent to each other. Since, this problem also provides the perimeter measurement of the kite, find the difference between the perimeter and the sum of the congruent adjacent sides provided. Then divide that remaining difference in half, because each of the two sides must have the same length.

The solution is:

, where one of the two missing sides.

### Example Question #23 : Kites

A kite has two adjacent sides both with a measurement of . The perimeter of the kite is . Find the length of one of the remaining two sides.

**Possible Answers:**

**Correct answer:**

A kite must have two sets of congruent adjacent sides. This question provides the length for one set of congruent adjacent sides, thus the two remaining sides must be congruent to each other. Since, this problem also provides the perimeter measurement of the kite, find the difference between the perimeter and the sum of the congruent adjacent sides provided. Then divide that remaining difference in half, because each of the two sides must have the same length.

The solution is:

, where one of the two missing sides.

### Example Question #1 : How To Find The Length Of The Side Of A Kite

Using the kite shown above, find the length of side .

**Possible Answers:**

**Correct answer:**

A kite must have two sets of congruent adjacent sides. This question provides the length for one set of congruent adjacent sides, thus the two remaining sides must be congruent to each other. Since, this problem also provides the perimeter measurement of the kite, find the difference between the perimeter and the sum of the congruent adjacent sides provided.

The solution is:

, where one of the two missing sides.

Since the remaining two sides have a total length of , side must be

### Example Question #31 : Quadrilaterals

A kite has two adjacent sides both with a measurement of . The perimeter of the kite is . Find the length of the **sum** of the remaining two sides.

**Possible Answers:**

**Correct answer:**

A kite must have two sets of congruent adjacent sides. This question provides the length for one set of congruent adjacent sides, thus the two remaining sides must be congruent to each other. Since, this problem also provides the perimeter measurement of the kite, find the difference between the perimeter and the sum of the congruent adjacent sides provided.

To find the **sum** of the remaining two sides:

, where one of the two missing sides.

### Example Question #1 : How To Find The Length Of The Side Of A Kite

The kite shown above has two adjacent sides both with a measurement of . The perimeter of the kite is . Find the** sum** of the remaining two sides.

**Possible Answers:**

**Correct answer:**

A kite must have two sets of congruent adjacent sides. This question provides the length for one set of congruent adjacent sides, thus the two remaining sides must be congruent to each other. This problem also provides the perimeter measurement of the kite. Therefore, use the information that is provided to find the difference between the perimeter and the sum of the congruent adjacent sides provided in the question.

To find the **sum** of the remaining two sides:

, where one of the two missing sides.

### Example Question #1 : How To Find The Length Of The Side Of A Kite

A kite has two adjacent sides both with a measurement of . The perimeter of the kite is . Find the length of one of the remaining two sides.

**Possible Answers:**

**Correct answer:**

A kite must have two sets of congruent adjacent sides. This question provides the length for one set of congruent adjacent sides, thus the two remaining sides must be congruent to each other. Since, this problem also provides the perimeter measurement of the kite, find the difference between the perimeter and the sum of the congruent adjacent sides provided. Then divide that remaining difference in half, because each of the two sides must have the same length.

The solution is:

, where one of the two missing sides.

### Example Question #2 : How To Find The Length Of The Side Of A Kite

Using the kite shown above, find the length of side .

**Possible Answers:**

**Correct answer:**

A kite must have two sets of congruent adjacent sides. This question provides the length for one set of congruent adjacent sides, thus the two remaining sides must be congruent to each other. Since, this problem also provides the perimeter measurement of the kite, find the difference between the perimeter and the sum of the congruent adjacent sides provided.

The solution is:

, where one of the two missing sides.

Since the remaining two sides have a total length of ft, side must be

### Example Question #3 : How To Find The Length Of The Side Of A Kite

**Possible Answers:**

**Correct answer:**

The solution is:

, where one of the two missing sides.

### Example Question #4 : How To Find The Length Of The Side Of A Kite

A kite has two adjacent sides both with a measurement of . The perimeter of the kite is . Find the length of the sum of the remaining two sides.

**Possible Answers:**

**Correct answer:**

A kite must have two sets of congruent adjacent sides. This question provides the length for one set of congruent adjacent sides, thus the two remaining sides must be congruent to each other. Since, this problem also provides the perimeter measurement of the kite, find the difference between the perimeter and the sum of the congruent adjacent sides provided.

The solution is:

, where one of the two missing sides.

### Example Question #5 : How To Find The Length Of The Side Of A Kite

**Possible Answers:**

**Correct answer:**

The solution is:

, where one of the two missing sides.