Quiz about Pythagorean Theorem

Question 1

Which formula do you use to find the missing side length of a right triangle?

Accepted Answer

$$a^2+b^2=c^2$$

Answer

$$m=\frac{y_2-y_1}{x_2-x_1}$$

Answer

$$A=\frac{1}{2}bh$$

Answer

$$y=mx+b$$

Question 2

The diagram shows three squares that are joined at vertices to form a right triangle.

Which statement is true?

Accepted Answer

The sum of the areas of Square N and Square L is equal to the area of Square K.

Answer

The sum of the areas of Square N and Square L is greater than the area of Square K.

Answer

The sum of the areas of Square N and Square K is equal to the area of Square L.

Answer

The sum of the areas of Square N and Square L is less than the area of Square K.

Question 3

Which set of squares can be used to illustrate the Pythagorean theorem?

Accepted Answer

Option A is correct

Accepted Answer

Option B is correct

Answer

C.

Answer

D.

Question 4

Use the Pythagorean Theorem to find the approximate missing side length of the right triangle.

Accepted Answer

$$8$$

Answer

$$11$$

Answer

$$65$$

Answer

$$9$$

Question 5

Use the Pythagorean Theorem to find the approximate missing side length of the right triangle.

Accepted Answer

$$12$$

Answer

$$17.5$$

Answer

$$11$$

Answer

$$6$$

Question 6

Use the Pythagorean Theorem to find the approximate missing side length of the right triangle.

Accepted Answer

$$19.62$$

Answer

$$39.2$$

Answer

$$7$$

Answer

$$20.61$$

Question 7

Use the Pythagorean Theorem to determine if a triangle with side lengths of 7, 24, and 25 is a RIGHT triangle.

Accepted Answer

Yes, it is a right triangle

Answer

No, it is not a right triangle

Question 8

Use the Pythagorean Theorem to determine if a triangle with side lengths of 10, 12, and 16 is a RIGHT triangle.

Accepted Answer

No, it is not a right triangle

Answer

Yes, it is a right triangle

Question 9

The coordinate grid shows line segment XY.

Which measurement is closest to the length of line segment XY in units?

Accepted Answer

11.7 units

Answer

7.8 units

Answer

16.0 units

Answer

13.0 units

Question 10

The coordinates of line segment QR are $$Q\left(8,2\right)$$ and $$R\left(5,7\right)$$ .

Which measurement is closest to the length of line segment QR in units?

Accepted Answer

5.8 units

Answer

5 units

Answer

4 units

Answer

3.9 units

Question 11

The dimensions of a rectangular piece of paper are 8.5 inches and 11 inches. Veronica folded the piece of paper along its diagonal. Which measurement is closest to the length of the diagonal in inches?

Accepted Answer

13.9 inches

Answer

6.24 inches

Answer

19.5 inches

Answer

6.98 inches

Pythagorean Theorem

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