Free Printable Geometry Test 1 Review

1.

Which one is the correct name of Angle 1?

a)

b)

c)

d)

2.

Which one is the vertex of Angle 1?

a)

1

b)

J

c)

M

d)

K

3.

Classify Angle 1

a)

Obtuse

b)

Acute

c)

Right

d)

Straight

4.

If m<1 = 55˚, find m<JMK = ?

a)

55

b)

45

c)

90

d)

145

5.

What is the supplement of a 50˚ angle?

a)

40

b)

50

c)

130

d)

180

6.

TR is the angle bisector <ATS.

The m<RTS = (17x - 5)°, and

m<ATS = (28x + 8)°.

Which of the following is the correct form of equation to find x ?

a)

17x-5=28x+8

b)

17x=28x+8-5

c)

2(17x-5)=28x+8

d)

17x-5+28x+8=180

7.

TR is the angle bisector <ATS. The m<RTS = (17x - 5)°, and m<ATS = (28x + 8)°.

Find x.

a)

-1

b)

5

c)

3

d)

6

8.

TR is the angle bisector <ATS. The m<RTS = (17x - 5)°, and m<ATS = (28x + 8)°.

Find m<ATS =

a)

84

b)

92

c)

46

d)

67

9.

Which points are collinear?

a)

R, K and L

b)

G,K and R

c)

L,K and H

d)

R,K and H

10.

Which of the following is a ray?

a)

b)

c)

d)

11.

Which of the following are line(s) that include Point B?

a)

Line HD

b)

Line AJ

c)

Line XY

d)

Line LN

12.

Which of the following are angles that include vertex E?

a)

b)

c)

d)

13.

Line XY intersects Plane S at Z.

a)

True

b)

False

14.

Line NL is the intersection of plane S and plane K

a)

True

b)

False

15.

If EH=ED, then what can you call E?

a)

Coplanar

b)

Midpoint

c)

Line Segment

d)

Angle Bisector

16.

A is the midpoint of B and C, AB= 4x + 10 and AC= 5x – 10. Which equation could be used to solve for x?

a)

4x+10+5x-10=180

b)

4x+10+5x-10=9x

c)

4x+10=5x-10

d)

2(4x+10)=5x-10

17.

If two angles are congruent and complementary and one of the angles is (8x –3)^o,

which equation could not be used to solve for x?

a)

2(8x-3)=90

b)

8x-3+8x-3=90

c)

8x-3=90

d)

8x-3=45

18.

If ∠A & ∠B are supplementary and ∠B = (3x + 18)°,

which equation you would use to solve for ∠A?

a)

∠A = 180° - (3x + 18)°

b)

∠A = 90° - (5x + 8)°

c)

∠A = 180° + (5x + 8)°

d)

∠A = 90° - 2(5x + 8)°

19.

What is the midpoint between (-4,4) and (-2,2)?

a)

(3,2)

b)

(-3,3)

c)

(4,5)

d)

(6,7)

20.

What is the midpoint between (3, -1) and (7, -5)

a)

(5, -2)

b)

(10, -6)

c)

(5, -3)

d)

(2, -2)

21.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

a)

b)

c)

d)

22.

Find the distance between the points: (-3, -4) and (5, 5)

a)

11.8

b)

14.4

c)

12

d)

19

23.

Find the endpoint of the segment with the endpoint of (-4, 5) and midpoint of (7, -9)

a)

(18, 13)

b)

(13, 18)

c)

(11,4)

d)

(1.5, -2)

24.

Point M with coordinates (3,4) is the midpoint of the line AB and A has the point (-1,6). What is the point of B?

a)

(1,5)

b)

(2,10)

c)

(7,2)

d)

(1,2)

25.

Find the distance.

a)

9.7

b)

10.7

c)

11.7

d)

12.7

26.

Find the distance between the points (4, 3) and (0, 6).

a)

3

b)

4

c)

5

d)

7

27.

What is the distance between (-5, 3) and (4, -5)

a)

Square root of -145

b)

Square root of 145

c)

145

d)

-145

28.

Find the area of the parallelogram.

a)

15.6 cm²

b)

30.6 cm²

c)

13.26 cm²

d)

30 cm²

29.

Calculate the area of the figure.

a)

257.4 m²

b)

128.7 m²

c)

514.8 m²

d)

245.7 m²

e)

134.6 m²

30.

Identify the hypothesis of this conditional statement

"If two lines are parallel, then the lines will never intersect."

a)

If two lines are parallel

b)

two lines are parallel

c)

the lines will never intersect

d)

then the lines will never intersect

31.

Identify the conclusion of the conditional statement

"If two lines are parallel, then the lines will never intersect."

a)

If two lines are parallel

b)

Two lines are parallel

c)

Then the lines will never intersect

d)

the lines will never intersect

32.

Which statement is in if-then form for the statement:

"All quadrilaterals have 4 sides"

a)

If it is a quadrilateral, then it has 4 sides.

b)

If the figure is a quadrilateral, then it has 4 sides.

c)

If the figure has 4 sides, then it's a quadrilateral.

d)

If the quadrilateral has 4 sides, then it's a square.

33.

Which form is the converse of a conditional statement?

a)

p --> q

b)

q --> p

c)

~p --> ~q

d)

~q --> ~p

34.

Which form is the contrapositive of a conditional statement?

a)

p --> q

b)

q --> p

c)

~p --> ~q

d)

~q --> ~p

35.

Which form is the inverse of a conditional statement?

a)

p --> q

b)

q --> p

c)

~p --> ~q

d)

~q --> ~p

36.

Use the Law of Detachment to draw a conclusion from the following statements:

If an angles are congruent, then they have equal measures.
<P and <Q are congruent.

a)

They don't have equal measures

b)

<P and <Q have equal measures.

c)

No conclusion

d)

If <P and <Q have equal measures, then they are congruent.

37.

Use the Law of Syllogism to draw a conclusion from the following statements:

If it is snowing, then it is cold outside.
If it is cold outside, then I will wear a coat.

a)

No conclusion

b)

I will wear a coat.

c)

It is snowing.

d)

If it is snowing, then I will wear a coat.

38.

Which of the following shows the transitive property?

a)

CD=EF and EF=GH, then CD=GH

b)

If XY=WX, then WX=XY

c)

If p=q, then p-r=q-r

d)

If p=q, then p+r=q+r

39.

Which of the following shows the multiplication property?

a)

CD=EF and EF=GH, then CD=GH

b)

If XY=WX, then WX=XY

c)

If p=q, then pr=qr

d)

If p=q, then p+r=q+r

40.

Which of the following shows the symmetric property?

a)

CD=EF and EF=GH, then CD=GH

b)

If XY=WX, then WX=XY

c)

If p=q, then pr=qr

d)

If p=q, then p+r=q+r

41.

Determine which law is being used, if possible.

If an animal is a dog, then it will eat bones.

If the dog eat bones, then the dog will bury it.

If an animal is a dog, then the dog will bury it.

a)

Law of detachment

b)

Law of syllogism

c)

invalid/no conclusion

42.

Determine which law is being used, if possible.

If I drive too fast, then I'll get a ticket.

Josh drove too fast.

Josh got a ticket.

a)

Law of detachment

b)

Law of syllogism

c)

invalid/no conclusion

43.

Determine which law is being used, if possible.

If I watch Netflix, then I won't do my homework.

Andrea didn't do her homework.

Andrea watched Netflix.

a)

Law of detachment

b)

Law of syllogism

c)

invalid/no conclusion

44.

What is the REASON for Statement #1?

a)

Given

b)

Definition of Complementary Angles

c)

Substitution Property

d)

Reflexive Property of Congruence

45.

What is the REASON for Statement #2?

a)

Given

b)

Definition of Complementary Angles

c)

Substitution Property

d)

Reflexive Property of Congruence

46.

What is the REASON for Statement #3?

a)

Given

b)

Definition of Complementary Angles

c)

Substitution Property

d)

Reflexive Property of Congruence

47.

What is the REASON for Statement #4?

a)

Substitution Property

b)

Distributive Property

c)

Transitive Property

d)

Combine Like Terms

48.

What is the REASON for Statement #5?

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

49.

What is the REASON for Statement #6?

a)

Addition Property of Equality

b)

Subtraction Property of Equality

c)

Multiplication Property of Equality

d)

Division Property of Equality

50.

a)

4

b)

5

c)

8

d)

6

51.

Can we name the Plane CBA? Why or why not?

a)

YES because they are all on the same line.

b)

NO because they are all on the same line.

c)

YES because they are all on the plane.

d)

NO because one of the points is not on the plane.

52.

If R is the midpoint of segment QS, find the distance QS.

a)

38

b)

76

c)

71

d)

33

53.

Find the value of x.

a)

13

b)

8.6

c)

5

d)

130

54.

Find the value of x.

a)

61

b)

40

c)

54

d)

47

55.

Find the value of x.

a)

14

b)

60

c)

35

d)

180

56.

Use inductive reasoning to find the next three numbers in the pattern.

1, 2, 4, 8, 16, _____, ______, ______

a)

24, 40, 64

b)

18, 20, 22

c)

32, 64, 128

57.

Use the given figures to decide what

the 30th figure would bel: ∎∆∆∎ΔΔ__

a)

∎

b)

Δ

58.

The next two terms in the sequence 3, -6, 12, -24, .... are

a)

48 and 96

b)

-48 and -96

c)

-48 and 96

d)

48 and -96

59.

Make a conjecture about the product of two positive even numbers.

a)

The product is odd and negative

b)

The product is odd and positive

c)

The product is even and negaive

d)

The product is even and positive

60.

Find one counter example to show the follwing conjecture is False:

If a number is divisible by 5, then it is odd.

a)

30

b)

25

c)

42

d)

105

61.

What is the hypothesis of the given Conditional Statement?

a)

Jimmy will go to Orlando

b)

Jimmy goes on vacation

c)

Jimmy will go to Orlando

d)

Who is Jimmy?

62.

Given, "If I have a Siberian Husky, then I have a dog." Identify the conclusion.

a)

If I have a Siberian Husky.

b)

I have a Siberian Husky.

c)

Then I have a dog.

d)

I have a dog.

63.

Given, "If I have a Siberian Husky, then I have a dog." Identify the converse.

a)

If I do not have a Siberian Husky, then I do not have a dog.

b)

If I have a dog, then I have a Siberian Husky.

c)

If I do not have a dog, then I do not have a Siberian Husky.

d)

If I do not have a Siberian Husky, then I have a dog.

64.

A ________ uses the words "if" and "then"

a)

conditional statement

b)

hypothesis

c)

conclusion

65.

What is a counterexample for the following statement?

“If today is not a weekday, then it is Saturday.”

a)

Monday

b)

Friday

c)

Thursday

d)

Sunday

66.

1. Find ∠ AOC

a)

130

b)

50

c)

40

67.

a)

A

b)

B

c)

C

d)

D

68.

Points E, G, and F

a)

determine a plane

b)

are collinear

c)

are contained in only plane JKH

d)

are noncoplanar points

69.

a)

A

b)

B

c)

C

d)

D

70.

a)

A

b)

B

c)

C

d)

D

71.

Angles 1 and 2 form a linear pair. If $m\angle1=63\degree$ what is the $m\angle2$ ?

a)

117 $\degree$

b)

$93\degree$

c)

$27\degree$

72.

Let p represent: Nestor watches TV.

Let q represent: Nestor goes on a walk.

Translate the verbal argument into symbolic form.

If Nestor watches TV, then he will not go on a walk.

a)

$p\ \rightarrow\ q$

b)

$\sim p\rightarrow q$

c)

$\sim p\rightarrow\sim q$

d)

$p\rightarrow\sim q$

73.

Which of the following conjectures is false?

a)

The product of two even numbers is even.

b)

The sum of two even numbers is even.

c)

The product of two odd numbers is odd.

d)

The sum of two odd numbers is odd.

74.

Complete the conjecture.
The sum of two negative numbers is ___________.

a)

positive

b)

negative

c)

odd

d)

even

75.

For a conjecture to be true, it must be true...

a)

in most cases.

b)

in all cases.

c)

on Thursday mornings.

d)

at least once.

76.

Solve for x:
2x + 5 = 12

a)

7

b)

3

c)

3.5

d)

8.5

77.

Solve for x:
2(3x + 4) + 2 = 4 + 3x

a)

2

b)

-2/3

c)

10

d)

-2

78.

Solve for x:
8x + 2 + 3x + 5 = x + 12

a)

-1/2

b)

2

c)

-2

d)

1/2

79.

Solve for x:
3(5x + 10) + 10 = 6x - (x + 10)

a)

3

b)

-3

c)

-5

d)

5

80.

a)

1/7

b)

47/36

c)

7

d)

23

81.

a)

-14/9

b)

-9/14

c)

-21/6

d)

6/21

82.

Solve x/2+1/3=-5/3

a)

x=4

b)

x=2

c)

x=-4

d)

x=-2

83.

Solve the following linear equation $\frac{2x-3}{2}=6$

a)

$y=6$

b)

$x=7.5$

c)

$y=-1.5$

d)

$x=6$

84.

$\frac{3x-6}{6}=4x-8$ Solve the linear equation

a)

x=0

b)

y=0

c)

x=2

d)

y=2

85.

$\frac{-2\left(x+3\right)}{3}=-2x$ Solve the linear equation

a)

x=1.5

b)

y=3

c)

x=3

d)

y=1.5

86.

What is the justification?

a)

Segment Addition Postulate

b)

Definition of Midpoint

c)

Addition Property of Equality

d)

Complement Theorem

87.

What is the justification?

a)

Definition of Supplementary Angles

b)

Vertical Angles Theorem

c)

Definition of an Angle Bisector

d)

Angle Addition Postulate

88.

What is the justification?

a)

Congruent Supplements Theorem

b)

Vertical Angles Theorem

c)

Definition of Supplementary Angles

d)

Definition of Complementary Angles

89.

What is the justification?

a)

Transitive Property of Equality

b)

Subtraction Property of Equality

c)

Division Property of Equality

d)

Substitution Property of Equality

90.

What is the justification?

a)

Definition of Congruence

b)

Segment Addition Postulate

c)

Transitive Property of Congruence

d)

Definition of Midpoint

91.

What is the justification?

a)

Definition of an Angle Bisector

b)

Complementary Angles Theorem

c)

Definition of a Right Angle

d)

Angle Addition Postulate

92.

What is the justification?

a)

Angle Addition Postulate

b)

Angle Bisector Definition

c)

Addition Property of Equality

d)

Supplement Theorem

93.

What is the justification?

a)

Definition of Congruence

b)

Definition of Perpendicular

c)

Definition of Complementary Angles

d)

Definition of a Right Angle

94.

What is the reason?

a)

Definition of congrucent

b)

Definition of midpoint

c)

Definition of segment

d)

Segment Addition

95.

What is the reason?

a)

Transitive

b)

Substitution

c)

Middle Man

d)

Replacing

96.

Name the property of equality or congruence that justifies going from the first statement to the second statement.

a)

Reflexive Property of Equality

b)

Symmetric Property of Equality

c)

Symmetric Property of Congruence

d)

Reflexive Property of Congruence

97.

Name the property of equality or congruence that justifies going from the first statement to the second statement.

a)

Associative Property

b)

Commutative Property

c)

Distributive Property

d)

Combine Like Terms

98.

Area

a)

12 in sq

b)

12 in

c)

24 in sq

d)

6 in sq

99.

Area?

a)

31.5 u sq

b)

63 u sq

c)

77 u sq

d)

38.5 u sq

100.

Find the area of the composite figure.

a)

100

b)

400

c)

137.5

d)

175

101.

Find the area of the circle in terms of π

a)

$8\pi\ cm^2$

b)

$64\pi\ cm^2$

c)

$16\pi\ cm^2$

d)

$4\pi\ cm^2$

102.

Find the area of the circle in terms of π

a)

$36\pi\ in^2$

b)

$6\pi\ in^2$

c)

$12\pi\ in^2$

d)

$36\ in^2$

103.

Find the area of the circle in terms of π

a)

$9\pi\ in^2$

b)

$81\pi\ in^2$

c)

$18\pi\ in^2$

d)

$36\pi\ in^2$

Geometry Test 1 Review

Total questions: 103

Worksheet time: 3hrs 49mins

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