Quiz about 8th Grade Math Benchmark 1

Question 1

Find the missing side length. Round to the nearest tenth if necessary. [Triangle with sides 10 cm, 8 cm, and x]

Accepted Answer

12.8

Answer

6

Answer

36

Answer

5

Question 2

Find the missing side length. Round to the nearest tenth if necessary.

Accepted Answer

17.7

Answer

5

Answer

25

Answer

7

Question 3

Find the missing side length. Round to the nearest tenth if necessary.

Accepted Answer

7.9

Answer

15

Answer

225

Answer

17

Question 4

Find the missing side length. Round to the nearest tenth if necessary.

Accepted Answer

12.7

Answer

17

Answer

289

Answer

20

Question 5

Find the missing side length. Round to the nearest tenth if necessary.

Accepted Answer

16

Answer

23.3

Answer

256

Answer

18

Question 6

Find the missing side length. Round to the nearest tenth if necessary.

Accepted Answer

3

Answer

6.4

Answer

2

Answer

9

Question 7

Find the missing side of the right triangle. Side c is the hypotenuse. Sides a and b are the legs. Round your answer to the nearest tenth if necessary.

Accepted Answer

72

Answer

48

Answer

102.4

Answer

36

Question 8

Find the missing side of the right triangle. Side c is the hypotenuse. Sides a and b are the legs. Round your answer to the nearest tenth if necessary. a = 42 cm, c = 70 cm

Accepted Answer

64

Answer

56

Answer

81.6

Answer

48

Question 9

The Pythagorean Theorem can only be used with _____ triangles

Accepted Answer

right

Answer

25

Answer

leg

Answer

square

Question 10

The hypotenuse (or the "c") is always the _______________ side.

Accepted Answer

longest

Answer

shortest

Answer

second longest

Answer

fourth longest

Question 11

The formula for the Pythagorean Theorem is _________________

Accepted Answer

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

Answer

b) a + b = c

Answer

c) $$a^2 + b^2 + c^2$$

Answer

d) $$a^2 - c^2 = b^2$$

Question 12

What is the name of the longest side of a right triangle?

Accepted Answer

The Hypotenuse

Answer

The leg

Answer

The Hippo

Answer

The 90 degree angle

Question 13

What is a right triangle?

Accepted Answer

A triangle that has one right angle (a 90 degree angle)

Answer

a triangle that has two sides of equal length

Answer

A theorem used to solve a side of a triangle if you already have 2 sides known.

Answer

An equilateral triangle

Question 14

What do you call the longest side of a triangle?

Accepted Answer

hypotenuse

Answer

leg

Answer

base

Answer

height

Question 15

What does pythagorean theorem say?

Accepted Answer

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

Answer

all sides are equal

Answer

a + b = c

Answer

$$\sqrt{b^2 - 4ac}$$

Question 16

What are the names of the sides labeled "a" and "b"?

Accepted Answer

Leg a and Leg b

Answer

Leg Jim and Leg Paul

Answer

Hypotenuse

Answer

Hippo

Question 17

What is the formula to find the hypotenuse of a right triangle with legs that measure 5 cm and 12 cm?

Accepted Answer

b) $$5^2 + 12^2 = c^2$$

Answer

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

Answer

c) $$12^2-5^2=c^2$$

Answer

d) $$a^2 + 5^2 = 12^2$$

Question 18

An 18 ft string is tied to the top of a pole and pulled to the ground 7 ft away from the pole. Which equation would you use to find the height of the pole?

Accepted Answer

$$a^2+7^2=18^2$$

Answer

b) $$18^2-7^2=b^2$$

Answer

c) $$a^2+7^2=18^2$$

Answer

d) $$18^2 + 7^2 = c^2$$

Question 19

Review activity for the distance formula / Pythagorean theorem in high school geometry. 1. Find the distance between these two points. (6, 2), (0, -6)

Accepted Answer

7.2

Answer

100

Answer

10

Answer

4.5

Question 20

Find the distance between these two points. (6, -7), (3, -5)

Accepted Answer

3.6

Answer

15

Answer

12.4

Answer

9.2

Question 21

Find the distance between these two points. (5, -8), (-8, 6)

Accepted Answer

14.3

Answer

3.6

Answer

19.2

Answer

13.2

Question 22

Find the distance between these two points.

Accepted Answer

2.2

Answer

7.3

Answer

1

Answer

2

Question 23

Find the distance between these two points.

Accepted Answer

3.2

Answer

3

Answer

1

Answer

8.6

Question 24

Find the distance between these two points.

Accepted Answer

10.6

Answer

9.2

Answer

12

Answer

7.3

Question 25

Find the distance between these two points.

Accepted Answer

4

Answer

28

Answer

21.5

Answer

2

Question 26

Find the distance between these two points.

Accepted Answer

7.1

Answer

5

Answer

50

Answer

1

Question 27

Find the distance between these two points.

Accepted Answer

17

Answer

7

Answer

9

Answer

25

Question 28

Find the distance between these two points. (5, 9), (-7, -7)

Accepted Answer

20

Answer

28

Answer

4

Answer

14

Question 29

Find the distance between these two points.

Accepted Answer

6

Answer

-4

Answer

2

Answer

5

Question 30

Find the distance between these two points.

Accepted Answer

5

Answer

-3

Answer

2

Answer

4

Question 31

Find the distance between (1,3) and (4,0)

Accepted Answer

4.2

Answer

3

Answer

6

Answer

8

Question 32

Find the distance between (-2,-3) and (0,3)

Accepted Answer

6.3

Answer

6

Answer

2

Answer

8

Question 33

Find the distance between these two points.

Accepted Answer

10

Answer

14

Answer

6

Answer

4.5

Question 34

Find the distance between these two points.

Accepted Answer

25

Answer

31

Answer

17

Answer

7

Question 35

Find the distance between these two points. (0, 5), (12, 3)

Accepted Answer

12.2

Answer

20

Answer

4

Answer

11.8

Question 36

Distance between (2, 13) and (14, 8)

Accepted Answer

13

Answer

(-1, 1) and (5, -5)

Answer

15

Answer

17

Question 37

Distance between (1, -1) and (9, 5)

Accepted Answer

10

Answer

5

Answer

(-0.5, -1)

Answer

mid point

Question 38

Distance between (-5, -7) and (4, -7)

Accepted Answer

9

Answer

8 units

Answer

(2, 4.5)

Answer

5

Question 39

Distance between (-2, 10) and (13, 2)

Accepted Answer

17

Answer

Distance Formula

Answer

13

Answer

(2.5, 1)

Question 40

Distance between (-3, 6) and (-3, -5)

Accepted Answer

9

Answer

(5, 1)

Answer

(2, -3) and (6, -3)

Answer

11

Question 41

Distance between (4, 3) and (13, 15)

Accepted Answer

17

Answer

11

Answer

(-2,-4) and (-2,1)

Answer

15

Question 42

Distance between (10, 3) and (17, 27)

Accepted Answer

25

Answer

(-5,-2) and (4,-2)

Answer

(2, 4.5)

Answer

4 units

Question 43

Distance between (30, 0) and (0, -40)

Accepted Answer

50

Answer

(-3,4) and (5, 4)

Answer

distance

Answer

9

Question 44

Distance between (2, 2) and (20, 26)

Accepted Answer

30

Answer

(1, -1)

Answer

10 units

Answer

17

Question 45

Under a rotation, orientation of the ____________ is preserved.

Accepted Answer

vertices

Answer

changed

Answer

image

Answer

pre-image

Question 46

Under a rotation, orientation of the ____________ changes.

Accepted Answer

image

Answer

rotation

Answer

changed

Answer

figure

Question 47

Under a reflection, both orientation of the vertices and figure are ____________.

Accepted Answer

changed

Answer

preserved

Answer

congruent

Answer

vertices

Question 48

Under a translation, both orientation of the vertices and figure are ____________.

Accepted Answer

preserved

Answer

rotation

Answer

translation

Answer

pre-image

Question 49

The original figure is called the ________________________.

Accepted Answer

pre-image

Answer

preserved

Answer

vertices

Answer

reflection

Question 50

The new figure after the transformation is called the _________________

Accepted Answer

image

Answer

translation

Answer

vertices

Answer

figure

Question 51

Figures that are the same size and shape are _________________

Accepted Answer

congruent

Answer

rotation

Answer

reflection

Answer

image

Question 52

A type of transformation that shifts a figure up/down and left/right.

Accepted Answer

translation

Answer

figure

Answer

rotation

Answer

changed

Question 53

A type of transformation that turns/spins a figure

Accepted Answer

rotation

Answer

figure

Answer

translation

Answer

congruent

Question 54

A type of transformation that flips a figure creating a mirror image

Accepted Answer

reflection

Answer

vertices

Answer

changed

Answer

image

Question 55

Which transformation occurred?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Answer

Nothing

Question 56

Which transformation occurred?

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Answer

Nothing

Question 57

Which transformation occurred?

Accepted Answer

Rotation

Answer

Translation

Answer

Reflection

Answer

Nothing

Question 58

Which transformation occurred?

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Answer

Nothing

Question 59

Which transformation occurred?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Answer

Nothing

Question 60

Which transformation occurred?

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Answer

Nothing

Question 61

Which transformation occurred?

Accepted Answer

Rotation

Answer

Translation

Answer

Reflection

Answer

Nothing

Question 62

Which transformation occurred?

Accepted Answer

Translation

Answer

Rotation

Answer

Reflection

Answer

Nothing

Question 63

Which transformation occurred?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Answer

Nothing

Question 64

Which transformation occurred?

Accepted Answer

Reflection

Answer

Translation

Answer

Rotation

Answer

Nothing

8th Grade Math Benchmark 1

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics