Free Printable Grade 8 - Geometry Formative Review

1.

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

a)

45°

b)

90°

c)

180°

d)

360°

2.

Find the measure of the indicated angle.

a)

$135\degree$

b)

$55\degree$

c)

$45\degree$

d)

$60\degree$

3.

If two angles in a triangle are $45\degree$ and $\ 75\degree$ , what is the measure of the third angle?

a)

$75\degree$

b)

$90\degree$

c)

$60\degree$

d)

$70\degree$

4.

Solve for x.

a)

16

b)

11

c)

50

d)

6

5.

Solve for x.

a)

7

b)

9

c)

-11

d)

-8

6.

Solve for x.

a)

44^o

b)

^-14o

c)

-7^o

d)

63^o

7.

Solve for x

a)

49

b)

58

c)

70

d)

94

8.

Solve for x

a)

48

b)

85

c)

24

d)

9

9.

Solve for x

a)

3

b)

4

c)

2

d)

1

10.

Set up an equation to find x.

a)

42 + 8x = 2 + 12x

b)

2 + 12x + 42 = 8x

c)

42 + 8x + 2 + 12x = 180

d)

42 + 8x = 180

11.

Find the value of x.

a)

A

b)

B

c)

C

d)

D

12.

Angle Q and B are...

a)

Alternate Interior Angles

b)

Consecutive Interior Angles

c)

Corresponding Angles

d)

Alternate Exterior Angles

13.

Angle C and P are...

a)

Alternate Interior Angles

b)

Same-side Interior Angles

c)

Corresponding Angles

d)

Alternate Exterior Angles

14.

Angle S and A are...

a)

Alternate Interior Angles

b)

Consecutive Interior Angles

c)

Corresponding Angles

d)

Alternate Exterior Angles

15.

∠2 & ∠4 are...

a)

Supplementary angles

b)

Vertical angles

c)

Corresponding angles

d)

Alternate interior angles

16.

Solve for x & list how you found it

a)

32... Same Side Interior = 180

b)

32... Alternate Interiors = 180

c)

32... Corresponding angles are congruent

d)

-20... Alternate Interiors are equal

e)

-20... Same Side Interiors are =

17.

Same Side Interior angles...

a)

Add to be 180

b)

Are congruent

c)

Add to be 90

d)

Are equal

18.

Angle 8 & 15 have what type of relationship?

a)

Alternate Exterior

b)

Alternate Interior

c)

Corresponding

d)

Vertical

e)

There is no relationship

19.

Same Side Interior Angles...

a)

Are congruent

b)

Add up to 180

c)

Are equal

d)

Have no relationship

e)

Add up to 90

20.

What type of angles are these?

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

21.

Which angles are vertical angles?

a)

$\angle8\ \&\ \angle7$

b)

$\angle8\ \&\ \angle6$

c)

$\angle8\ \&\ \angle5$

22.

A line that passes through parallel lines is called a ______________.

a)

transitive

b)

passer through line

c)

transversal

d)

bisector

23.

Find D

a)

∠D=116°

b)

∠D=64°

c)

∠D=180°

d)

∠D=26°

24.

Find y.

a)

130

b)

50

25.

Find the value of x if the $m\angle1\ =\ 11x\ -\ 9\degree$ and the $m\angle5\ =\ 7x\ +9\degree$ .

a)

-4.5

b)

4.5

c)

1

d)

0

26.

What value of x will make m parallel to n?

a)

113

b)

166

c)

19

27.

Lines A and B are parallel lines cut by a transversal. Find the value of x.

a)

x = 8

b)

x = 13

c)

x = 74

d)

x = 106

28.

A pair of parallel lines is cut by a transversal. What are the measures of the two marked angles?

a)

40 and 40

b)

65 and 115

c)

40 and 140

d)

75 and 105

29.

WHICH IS THE CORRECT EQUATION TO SOLVE FOR X?

a)

16X+180 = 90

b)

12X - 19 = 4X +1

c)

12X - 19 + 4X +1=90

d)

12X - 19 + 4X +1=180

30.

What is the length of x?

a)

5

b)

7

c)

8

d)

25

31.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

32.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

33.

Find the value of the '?'

a)

22.9

b)

48

c)

53.3

d)

75

34.

Find the height of the tree.

a)

1.3m

b)

4.2m

c)

5.7m

d)

9.7m

35.

What is the altitude of the airplane?

a)

280

b)

300

c)

320

d)

340

36.

What is the formula for Pythagorean theorem?

a)

a²⁺b²=c²

b)

a+b=c

c)

a-b=c

d)

c-a=c

37.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

38.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

39.

If three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse?

a)

9

b)

40

c)

41

40.

What are the 2 shorter sides of a right triangle called?

a)

Hypotenuse

b)

Pythagorean Theorem

c)

Legs

d)

Right triangle

41.

Do these 3 side lengths form a right triangle?
13, 80, and 81?

a)

yes

b)

no

42.

Given the 3 lengths of a triangle are 6 in, 8 in and 10 in. Will this make a right triangle?

a)

yes

b)

no

43.

What is the distance between the two points?

a)

12.64

b)

16.52

c)

12

d)

16

44.

A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?

a)

7.5 in

b)

12.4 in

c)

13.6 in

d)

14.3 in

45.

Find the distance between J and K.

a)

8.2

b)

7.7

c)

9

d)

10.2

46.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

a)

17 miles

b)

32 miles

c)

37 miles

d)

40 miles

47.

Can the sides of a triangle have lengths 3, 4, and 9?

a)

Yes

b)

No

48.

Isabella has sticks that are 10cm, 11cm, and 13cm long. Can she place the sticks together to form a right triangle? Justify your answer.

a)

No, because 10+11 does not equal 13

b)

No, because 100+121 does not equal 169

c)

Yes, because there is a small side, medium side and long side

d)

Yes, because a triangle has 3 sides

49.

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

a)

210 m

b)

180 m

c)

150 m

d)

79 m

Grade 8 - Geometry Formative Review

Total questions: 49

Worksheet time: 2hrs 38mins

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