ACT Math : How to find the length of the diagonal of a quadrilateral

Study concepts, example questions & explanations for ACT Math

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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 ofindicates that all sides aresince 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 ofand, 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

Q12

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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