Free Printable Review for Pythagorean Theorem TEST

1.

An angle measuring 90 degrees; usually marked with a "corner" in pictures.

a)

right triangle

b)

right angle

c)

legs

d)

hypotenuse

2.

A triangle that has one right angle (90 degrees) with 2 legs, and one hypotenuse (side opposite the right angle).

a)

right triangle

b)

right angle

c)

legs

d)

hypotenuse

3.

Sides that are adjacent (same vertex, share a common side) the right angle. They are two shortest sides.

a)

right triangle

b)

right angle

c)

legs

d)

hypotenuse

4.

The side opposite the right angle and it always the longest side of the triangle.

Show Answers

a)

right triangle

b)

right angle

c)

legs

d)

hypotenuse

5.

If the triangle is a right triangle, then the sum of the area of square a and square b is equal to the area of square c.

a)

converse of the Pythagorean Theorem

b)

Pythagorean Theorem

c)

square (a number)

d)

square root (of a number)

6.

Multiplying a number by itself; a number with an exponent of 2; inverse operation is square root.

a)

converse of the Pythagorean Theorem

b)

Pythagorean Theorem

c)

square (a number)

d)

square root (of a number)

7.

A factor of a number that when squared gives the number; inverse operation is squaring.

a)

converse of the Pythagorean Theorem

b)

Pythagorean Theorem

c)

square (a number)

d)

square root (of a number)

8.

If the sum of the squares of each leg is equal to the square of the hypotenuse then it is a right triangle.

a)

converse of the Pythagorean Theorem

b)

Pythagorean Theorem

c)

square (a number)

d)

square root (of a number)

9.

When three squares are joined at their vertices to form a right triangle, the combined area of the two smaller squares is the same as the area of the largest square. Do these 3 squares support this statement?

a)

yes/true

b)

no/false

10.

When three squares are joined at their vertices to form a right triangle, the combined area of the two smaller squares is the same as the area of the largest square. Do these 3 squares support this statement?

a)

yes/true

b)

no/false

11.

When three squares are joined at their vertices to form a right triangle, the combined area of the two smaller squares is the same as the area of the largest square. Do these 3 squares support this statement?

a)

yes/true

b)

no/false

12.

When three squares are joined at their vertices to form a right triangle, the combined area of the two smaller squares is the same as the area of the largest square. Do these 3 squares support this statement?

a)

yes/true

b)

no/false

13.

An artist joined three square regions at their vertices to create the figure shown in the diagram. The artist will use small congruent square tiles to cover each region without any gaps or overlaps. Based on the information, determine if the statement is true or false?

The number of tiles needed to cover Region X is the same as the number of tiles needed to cover both Region Y and Region Z.

a)

true

b)

false

14.

An artist joined three square regions at their vertices to create the figure shown in the diagram. The artist will use small congruent square tiles to cover each region without any gaps or overlaps. Based on the information, determine if the statement is true or false?

The number of tiles needed to cover Region Y is the same as the number of tiles needed to cover both Region X and Region Z.

a)

true

b)

false

15.

An artist joined three square regions at their vertices to create the figure shown in the diagram. The artist will use small congruent square tiles to cover each region without any gaps or overlaps. Based on the information, determine if the statement is true or false?

The number of tiles needed to cover Region Z is the same as the number of tiles needed to cover both Region X and Region Y.

a)

true

b)

false

16.

The manager of a car dealership wants to attach a rope with flags to the top of a pole and to a stake in the ground, as shown in the diagram.

What side is missing?

a)

leg

b)

hypotenuse

17.

The manager of a car dealership wants to attach a rope with flags to the top of a pole and to a stake in the ground, as shown in the diagram.

Write an equation to solve for the missing side.

a)

$26^2+19.5^2=c^2$

b)

$a^2+19.5^2=26^2$

c)

$26^2+b^2=19.5^2$

d)

$26^2₋19.5^2=c^2$

18.

The manager of a car dealership wants to attach a rope with flags to the top of a pole and to a stake in the ground, as shown in the diagram. Based on the diagram, what is the distance in feet from the top of the pole to the bottom of the stake?

(a)

19.

The width of a rectangle is 4 feet, and the diagonal length of the rectangle is 13 feet. Which measurement is closest to the length of this rectangle in feet?

What side is missing?

a)

leg

b)

hypotenuse

20.

The width of a rectangle is 4 feet, and the diagonal length of the rectangle is 13 feet. Which measurement is closest to the length of this rectangle in feet?

Write an equation to solve for the missing side.

a)

$4^2+13^2=c^2$

b)

$a^2+4^2=13^2$

c)

$13^2+b^2=4^2$

d)

$13^2+4^2=c^2$

21.

The width of a rectangle is 4 feet, and the diagonal length of the rectangle is 13 feet. Which measurement is closest to the length of this rectangle in feet?

a)

9 ft

b)

17 ft

c)

12.4 ft

d)

13.6 ft

22.

Do the following sides make a right triangle?

7 cm, 21 cm, 25 cm

a)

yes/true

b)

no/false

23.

Do the following sides make a right triangle?

30 cm, 72 cm, 78 cm

a)

yes/true

b)

no/false

24.

Do the following sides make a right triangle?

3 cm, 5 cm, 9 cm

a)

yes/true

b)

no/false

25.

Do the following sides make a right triangle?

7 cm, 25 cm, 26 cm

a)

yes/true

b)

no/false

26.

The coordinate grid shows line segment XY. To find the distance between X and Y, what strategy would you use to solve?

a)

try to partial count the squares on the diagonal.

b)

use the Pythagorean theorem to solve for the hypotenuse

c)

use the Pythagorean theorem to solve for the leg

d)

cannot be determined

27.

The coordinate grid shows line segment XY.

Select the correct values for the legs of the right triangle you would draw to determine the distance between X and Y.

Select 2 Answers.

a)

6

b)

10

c)

5

d)

3

28.

The coordinate grid shows line segment XY.

Write an equation to solve for the distance between X and Y.

a)

$6^2+10^2=c^2$

b)

$6^2+b^2=10^2$

c)

$a^2+10^2=6^2$

d)

$10^2-6^2=c^2$

29.

The coordinate grid shows line segment XY.

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

a)

7.8 units

b)

16.0 units

c)

11.7 units

d)

13 units

30.

The coordinates of the endpoints of line segment QR are Q(8,2) and R(5,7).

To find the distance between Q and R, what strategy would you use to solve?

a)

try to partial count the squares on the diagonal.

b)

use the Pythagorean theorem to solve for the hypotenuse

c)

use the Pythagorean theorem to solve for the leg

d)

cannot be determined

31.

The coordinates of the endpoints of line segment QR are Q(8,2) and R(5,7).

Select the correct values for the legs of the right triangle you would draw to determine the distance between Q and R.

a)

5

b)

6

c)

7

d)

3

32.

The coordinates of the endpoints of line segment QR are Q(8,2) and R(5,7).

Write an equation to solve for the distance between Q and R.

a)

$5^2+3^2=c^2$

b)

$5^2+b^2=3^2$

c)

$a^2+3^2=5^2$

d)

$5^2-3^2=c^2$

33.

The coordinates of the endpoints of line segment QR are Q(8,2) and R(5,7).

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

a)

5.8 units

b)

5 units

c)

3.9 units

d)

4 units

34.

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?

What side is missing?

a)

leg

b)

hypotenuse

35.

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?

Write an equation to solve for the missing side?

a)

$8.5^2+11^2=c^2$

b)

$a^2+8.5^2=11^2$

c)

$11^2+b^2=8.5^2$

d)

$11^2-8.5^2=c^2$

36.

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?

a)

6.2 in

b)

19.5 in

c)

6.98 in

d)

13.9 in

37.

A right triangle and two of its side lengths are shown in the diagram.

What side is missing?

a)

leg

b)

hypotenuse

38.

A right triangle and two of its side lengths are shown in the diagram.

Write an equation to solve for the missing side.

a)

$12^2+39^2=c^2$

b)

$a^2+12^2=39^2$

c)

$39^2+b^2=12^2$

d)

$39^2+12^2=c^2$

39.

A right triangle and two of its side lengths are shown in the diagram.

Which measurement is closest to the value of x in centimeters?

a)

40.8 cm

b)

27 cm

c)

51 cm

d)

none of these

40.

Do the following sides make a right triangle?

6 cm, 8 cm, 10 cm

a)

yes/true

b)

no/false

41.

Do the following sides make a right triangle?

12 cm, 35 cm, 37 cm

a)

yes/true

b)

no/false

42.

Do the following sides make a right triangle?

10 cm, 24 cm, 26 cm

a)

yes/true

b)

no/false

43.

Do the following sides make a right triangle?

4 cm, 6 cm, 10 cm

a)

yes/true

b)

no/false

44.

Select all the statements that are strategies for finding BOTH a missing hypotenuse and a missing leg.

a)

use the Pythagorean Theorem(a² + b² = c²)

b)

subtract the area of the smaller square from the bigger square

c)

last step would be to take the square root

d)

add the areas of the two smaller squares

e)

always square the sides before adding or subtracting

45.

Select all the statements that are strategies for finding ONLY a missing hypotenuse.

a)

use the Pythagorean Theorem(a² + b² = c²)

b)

subtract the area of the smaller square from the bigger square

c)

last step would be to take the square root

d)

add the areas of the two smaller squares

e)

always square the sides before adding or subtracting

46.

Select all the statements that are strategies for finding ONLY a missing leg.

a)

use the Pythagorean Theorem(a² + b² = c²)

b)

subtract the area of the smaller square from the bigger square

c)

last step would be to take the square root

d)

add the areas of the two smaller squares

e)

always square the sides before adding or subtracting

47.

Which of the following will result in side 👀 from Ms. Corp?

a)

charging your phone or air pods with a Chromebook

b)

studying your Quizlet vocabulary

c)

picking up any trash you see on the floor

d)

turning in 💪completed and graded/teacher✅ on time

48.

Before the bell, I should...

a)

stand at the door

b)

be SEATED at my desk with all my things put away in the correct place

c)

standing at my desk

d)

talking with my friend in the back corner of the rom

49.

Completing Journal pages for Imagine Math Days in class is REQUIRED.

a)

false

b)

true

50.

Showing work on paper _________________.

(select all that apply)

a)

is required

b)

helps earn partial credit on incorrect answers

c)

makes it easier for the teacher to help me

d)

takes too much effort and is useless to me

Review for Pythagorean Theorem TEST

Total questions: 50

Worksheet time: 1hrs 26mins

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