Basic Geometry : Quadrilaterals

Study concepts, example questions & explanations for Basic Geometry

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Example Questions

Example Question #261 : Quadrilaterals

Find the length of the diagonal of a square with side lengths of .

Possible Answers:

Correct answer:

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

1

Use the Pythagorean Theorem to find the length of the diagonal.

For the square given in the question,

Example Question #262 : Quadrilaterals

Find the length of the diagonal of a square with a side length of .

Possible Answers:

Correct answer:

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

1

Use the Pythagorean Theorem to find the length of the diagonal.

For the square given in the question,

Example Question #263 : Quadrilaterals

Find the length of the diagonal of a square that has a side length of .

Possible Answers:

Correct answer:

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

1

Use the Pythagorean Theorem to find the length of the diagonal.

For the square given in the question,

Example Question #264 : Quadrilaterals

Find the length of the diagonal of a square that has a side length of .

Possible Answers:

The length of the diagonal cannot be determined.

Correct answer:

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

1

Use the Pythagorean Theorem to find the length of the diagonal.

For the square given in the question,

Example Question #265 : Quadrilaterals

Find the length of the diagonal of a square with side lengths of .

Possible Answers:

Correct answer:

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

1

Use the Pythagorean Theorem to find the length of the diagonal.

For the square given in the question,

Example Question #266 : Quadrilaterals

Find the length of the diagonal of a square that has a side length of .

Possible Answers:

Correct answer:

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

1

Use the Pythagorean Theorem to find the length of the diagonal.

For the square given in the question,

Example Question #267 : Quadrilaterals

Find the length of the diagonal of a square with side lengths of .

Possible Answers:

Correct answer:

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

1

Use the Pythagorean Theorem to find the length of the diagonal.

For the square given in the question,

Example Question #268 : Quadrilaterals

Find the length of the diagonal of a square that has side lengths of .

Possible Answers:

Correct answer:

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

1

Use the Pythagorean Theorem to find the length of the diagonal.

For the square given in the question,

Example Question #269 : Quadrilaterals

Find the length of the diagonal of a square whose side length is .

Possible Answers:

Correct answer:

Explanation:

To find the diagonal, you case use the pythagorean theorem or realize that this in isosceles triangle, and therefore the hypotenuse is

Example Question #21 : Squares

A square has side lengths of . Find the length of the diagonal. 

Possible Answers:

Correct answer:

Explanation:

Finding the diagonal of a square is the same as finding the hypotenuse of a triangle, and uses the Pythagorean Theorem. (Imagine the square being sliced diagonally into two triangles, for you visual learners.) Within this theorem, both a and b are the same number, since the sides of a square are equal. 

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