### All ACT Math Resources

## Example Questions

### Example Question #21 : Plane Geometry

If the side of a pentagon is , what is the diagonal of the pentagon?

**Possible Answers:**

**Correct answer:**

Write the formula for finding the diagonal of a pentagon.

Plug in the side length and simplify.

### Example Question #22 : Plane Geometry

Find the length of the diagonal for a pentagon with a a side length of .

**Possible Answers:**

**Correct answer:**

Use the formula for the diagonal of a pentagon:

### Example Question #23 : Plane Geometry

Find the length of the diagonal for a pentagon with a perimeter of .

**Possible Answers:**

**Correct answer:**

1. Use the formula for perimeter to solve for the side length:

2. Use the formula for the diagonal of a pentagon:

### Example Question #24 : Plane Geometry

Find the diagonal for a pentagon with a perimeter of .

**Possible Answers:**

**Correct answer:**

1. Use the formula for perimeter to solve for the side length:

2. Use the formula for the diagonal of a pentagon:

### Example Question #25 : Plane Geometry

If a side of the pentagon is , what is the diagonal of the pentagon?

**Possible Answers:**

**Correct answer:**

Write the diagonal formula for a pentagon.

Substitute the side length and find the diagonal.

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