### All ACT Math Resources

## Example Questions

### Example Question #1 : How To Find The Length Of The Diagonal Of A Quadrilateral

A square has a length of . What must be the length of the diagonal?

**Possible Answers:**

**Correct answer:**

Explanation:

A square with a length of indicates that all sides are since a square has 4 equal sides. Use the Pythagorean Theorem to solve for the diagonal.

### Example Question #2 : How To Find The Length Of The Diagonal Of A Quadrilateral

If the rectangle has side lengths of and , what is the diagonal of the rectangle?

**Possible Answers:**

**Correct answer:**

Explanation:

Use the Pythagorean Theorem to solve for the diagonal.

### Example Question #3 : How To Find The Length Of The Diagonal Of A Quadrilateral

In the parallelogram above, and . What is the length of the diagonal ?

**Possible Answers:**

**Correct answer:**

Explanation:

In a parallelogram, the two diagonals bisect each other at their centers. Therefore, . To find , we set them equal to one another and solve.

Plugging this value back into both equations, then adding those values together, gives us our answer of .

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### All ACT Math Resources

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