Free Printable Geometry Semester 1 Review

1.

Which of the following is a counterexample of the conjecture below.

Conjecture: If a number is divisible by 6 and 2, then it is divisible by 12.

a)

12

b)

36

c)

42

d)

48

2.

a)

7

b)

20

c)

10

d)

4

3.

<1 and <2 form a linear pair. If m< 1 = (5x + 18) and m<2 = (3x + 26), what is m<1?

a)

17

b)

28

c)

77

d)

103

4.

a)

90

b)

120

c)

60

d)

45

5.

Find the inverse of the statement, “We can’t go swimming if there is a lightning storm”.

a)

If we can go swimming, then there is no lightning storm.

b)

If there is a lightning storm, then we can’t go swimming.

c)

If we can’t go swimming, then there is a lightning storm.

d)

If there is not a lightning storm, then we can go swimming.

6.

a)

b)

c)

d)

7.

a)

2/3

b)

4/5

c)

3/2

d)

5/4

8.

Why is a Triangle called an Acute Triangle?

a)

It has 3 acute angles

b)

It has 2 acute angles

c)

It has 1 acute angle

d)

It has 0 acute angles

9.

Why is a Triangle called a Right Triangle?

a)

It has 3 right angles

b)

It has 2 right angles

c)

It has 1 right angle

d)

It has 0 right angles

10.

Which is the measurement of an obtuse angle?

a)

90

b)

20

c)

130

d)

180

11.

Solve using the Triangle Sum Theorem

a)

x=12

b)

x=6

c)

x=11

d)

x=13

12.

Simplify the radical.

a)

12

b)

3root(10)

c)

7root(2)

d)

11

13.

Classify the triangle!

a)

acute isosceles

b)

right scalene

c)

acute scalene

d)

obtuse scalene

14.

What is the missing angle?

a)

61

b)

50

c)

60

d)

69

15.

Why is a Triangle called an Obtuse Triangle?

a)

It has 0 obtuse angles

b)

It has 1 obtuse angle

c)

It has 2 obtuse angles

d)

It has 3 obtuse angles

16.

Simplify the radical.

a)

13

b)

7root(4)

c)

3root(16)

d)

root(147)

17.

How are the triangles congruent, if they even are?

a)

They aren't

b)

SAS

c)

SSA

d)

HL

18.

How are the triangles congruent, if they even are?

a)

SAS

b)

They aren't

c)

AAS

d)

ASA

19.

Given the information regarding ΔABC and ΔDEF, which statement is true?
∠A ≅ ∠D
∠B ≅ ∠E
$\overline{BC}\cong\overline{EF}$

a)

The given information matches the SAS criterion; the triangles are congruent.

b)

The given information matches the ASA criterion; the triangles are congruent.

c)

The given information matches the AAS criterion; the triangles are congruent.

d)

It cannot be shown that the triangles are necessarily congruent.

20.

Solve for x.

a)

7

b)

-4

c)

8

d)

9

21.

Find the value of y?

a)

16

b)

12

c)

4

d)

8

22.

Find x

a)

60

b)

48

c)

30

d)

28

23.

a)

72

b)

67

c)

65

d)

54

24.

If G is the centroid of triangle ABC and GF= 4. Find the length of GC.

a)

4

b)

8

c)

12

d)

Not Enough Information

25.

If G is the centroid of triangle ABC and BE= 18. Find the length of BG.

a)

6

b)

12

c)

18

d)

Not Enough Information

26.

Mario, Jessica, and Farlene are hanging out on the football field in the form of a triangle. Which point of concurrency would be the same distance between all three of them?

a)

Circumcenter

b)

Incenter

c)

Neither

d)

Bilateral

27.

Which point of concurrency is the center of gravity for a triangle?

a)

Centroid

b)

Incenter

c)

Orthocenter

d)

Circumcenter

28.

WHAT IS THE VALUE OF X?

a)

16

b)

11.4

c)

0

d)

-16

29.

WHAT TYPE OF ANGLES ARE THEY

a)

ALTERNATIVE

b)

CONSERVATIVE

c)

CONSECUTIVE (SAME SIDE)

d)

CORRESPONDING

30.

Does a triangle with these side lengths exist?
15, 12, 9

a)

Yes

b)

No

c)

I don't know.

31.

M is the midpoint of AB. If AM = x + 3 and AB = 3x –1, find MB.

a)

7

b)

20

c)

10

d)

4

32.

What is the length of line segment AB?

a)

6.3

b)

14

c)

sq rt. of 14

d)

sq rt. of 41

33.

Choose the correct sequence.

a)

Addition Postulate of equality, Substitution property of equality,

Distributive property of equality

b)

Segment Addition Postulate, Substitution property of equality,

Distributive property of equality

c)

Segment Addition Postulate, Addition property of equality, Distributive property of equality

d)

Segment Addition Postulate, Substitution property of equality,

Simplify

34.

Classify the triangle by its sides and angles.

a)

Isosceles, Acute

b)

Equilateral, Right

c)

Isosceles, Right

d)

Scalene, Obtuse

35.

The measures of the three angles of a triangle are (2x – 5)°, (9x + 14)° and (3x + 17)°.

What is the measure of the largest angle?

a)

11

b)

50

c)

113

d)

157

36.

Use the diagram to determine which equation can be used to find the measure of CAT.

a)

180 + 125 = x

b)

x = 120 + 115

c)

125 + x = 180

d)

x - 125 = 180

37.

What is the measure of the exterior angle?

a)

9

b)

52

c)

28

d)

15

38.

Find the length of AB given Ab is the midsegment.

a)

6

b)

11

c)

17

d)

68

39.

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?

a)

144 feet

b)

72 feet

c)

36 feet

40.

Can a triangle be formed with side lengths:
4, 7, 10

a)

yes

b)

no

c)

not enough information

41.

Can a triangle be formed with side lengths:
10, 12, 22

a)

yes

b)

no

c)

not enough information

42.

a)

Transitive Property, SAS(Side-Angle-Side)

b)

Reflexive Property, SAS(Side-Angle-Side)

c)

Transitive Property, SSS(Side-Side-Side)

d)

Reflexive Property, SSS(Side-Side-Side)

43.

What is the "statement" for step 3 of the proof?

a)

AH=AN

b)

AD=AD

c)

HD=ND

d)

HD=DN

44.

Find the measure of angle A.

a)

44^o

b)

96^o

c)

-14^o

d)

63^o

45.

Is the inverse of this true?

a)

Its true. If two angles are not supplementary, then they do not add up to 180 degrees.

b)

Its false. If angles don't add up to 180, they can still be supplementary.

c)

Its false. Supplementary angles add up to 90 degrees.

d)

Its true. Supplementary angles can add up to less than 180 degrees.

46.

Is the converse to this true?

a)

Its false. Parallel lines intersect.

b)

True -- Parallel lines will not intersect if they are parallel.

c)

False.

d)

What are parallel lines?

47.

In the figure shown, BC || DE, AB = 2 yards, BC = 9 yards, AE = 36 yards and DE = 36 yards. Find BD.

a)

9 yd

b)

8 yd

c)

6 yd

d)

27 yd

48.

Which of the following is the logical equivalent to:
"If angle A and angle B are vertical angles, then angle A and angle B are congruent triangles."

a)

Converse

b)

Inverse

c)

Contrapositive

d)

Biconditional

49.

a)

A

b)

B

c)

C

d)

D

50.

a)

A

b)

B

c)

C

d)

D

51.

What is another name for Plane P?

a)

Plane DAB

b)

Plane ABC

c)

Plane ACn

d)

Plane PBC

52.

Name an angle adjacent to <AOB?

a)

Angle AOE

b)

Angle COD

c)

Angle AOC

d)

Angle EOB

53.

Find the midpoint between the points (-1,6) and (2,8)

a)

(9, 4)

b)

(1/2, 1)

c)

(1.5, 1)

d)

(1/2, 7)

54.

Find the distance between (-1, 6) and (2, 8)

a)

3.6

b)

14

c)

2.2

d)

3.6

55.

a)

$m\angle JHI=46^o\ and\ m\angle GHI=19^o$

b)

$m\angle JHI=27^o\ and\ m\angle GHI=78^o$

c)

$m\angle JHI=19^o\ and\ m\angle GHI=46^o$

d)

$m\angle JHI=23^o\ and\ m\angle GHI=52^o$

56.

a)

Reflexive

b)

Symmetric

c)

Transitive

57.

a)

50

b)

40

c)

90

d)

30

58.

What is the reason for step 2?

a)

Addition POE

b)

Subtraction POE

c)

Division POE

d)

Multiplication POE

59.

a)

a.

b)

b.

c)

c.

d)

d.

60.

Determine whether the line through (0,4) and (2,0) and the line through (-2,3) and (-4,2) are parallel, perpendicular, or neither.

a)

parallel

b)

perpendicular

c)

neither

61.

a)

x=67, y=124

b)

x=68, y=74

c)

x=67, y=106

d)

x=50, y=124

62.

a)

x=72

b)

x=36

c)

x=108

d)

x=18

63.

a)

x=15

b)

x=10

c)

x=20

d)

x=17

64.

What vocabulary word matches the diagram?

a)

Line

b)

Ray

c)

Segment

d)

Angle

65.

a)

line

b)

line segment

c)

ray

d)

angle

66.

a)

line

b)

line segment

c)

ray

d)

angle

67.

a)

line

b)

line segment

c)

ray

d)

angle

68.

a)

line

b)

line segment

c)

ray

d)

angle

69.

a)

acute angle

b)

obtuse angle

c)

right angle

d)

straight angle

70.

What does this image show?

a)

dot

b)

point

c)

circle

d)

angle

71.

Identify this picture.

a)

ray AB

b)

line AB

c)

line segment AB

d)

point AB

72.

Name the angle with three arcs

a)

< FIE

b)

< IER

c)

< FIR

d)

< REF

73.

Name the angle with two arcs

a)

< FIE

b)

< EIR

c)

< FER

d)

< FIR

74.

Collinear points are points that lie on the same line.

a)

True

b)

False

75.

Which statement is a true statement about the diagram

a)

Ray BA and ray BC are opposite rays.

b)

Ray BA and ray BC have opposite directions.

c)

Points A and C are the endpoints of ray BA and ray BC respectively.

d)

Point B is the endpoint of ray BA and ray BC.

76.

What is a ray?

a)

A part of a line that is straight, has 1 endpoint, and continues in 1 direction

b)

Another name for line segment

c)

A straight path that continues in both directions and does not end

d)

Points that are used to show segments of lines

77.

Points that lie on the same line are called ___________________________________.

a)

collinear points

b)

noncollinear points

c)

defined terms

d)

endpoints

78.

Segments that have the same length are called ______________________________.

a)

congruent segments

b)

congruent angles

c)

midpoint

d)

segment bisector

79.

Points that lie in the same plane are called ____________________.

a)

coplanar points

b)

collinear points

c)

line segment

d)

defined terms

80.

A _______________ is a flat, 2-dimensional surface usually represented by a shape that looks like a floor or a wall.

a)

plane

b)

segment bisector

c)

line

d)

ray

81.

A ray is named by _____________.

a)

a capital letter

b)

a lower case letter

c)

any two points on that ray.

d)

its endpoint and another point on the ray.

82.

I have four sides, what am I?

a)

I am a triangle.

b)

I am a non-polygon.

c)

I am a quadrilateral.

d)

I am a hexagon.

83.

Which best describes an isosceles triangle?

a)

A polygon with 3 sides.

b)

A triangle having 2 sides of the same length.

c)

A triangle having all sides of different lengths.

d)

A triangle having all sides the same lengths.

84.

Which best describes a scalene triangle?

a)

A polygon with 3 sides.

b)

A triangle having all sides the same length.

c)

A triangle having 2 sides of the same length.

d)

A triangle having all sides of different lengths.

85.

What does the prefix "quad" mean?

a)

three

b)

two

c)

four

d)

five

86.

What does the prefix "tri" mean?

a)

four

b)

three

c)

two

d)

five

87.

Find the measure of ONE exterior angle of a regular decagon.

a)

36

b)

10

c)

18

d)

40

88.

Find the measure of ONE interior angle of a regular dodecagon.

a)

150

b)

120

c)

1800

d)

20

89.

A polygon with six sides is called a(n) ______________.

a)

hexagon

b)

pentagon

c)

decagon

d)

septagon

90.

A polygon with 5 sides is called a(n) _____________.

a)

pentagon

b)

hexagon

c)

septagon

d)

quadrilateral

91.

A polygon with 8 sides is called a(n) __________________.

a)

octagon

b)

decagon

c)

heptagon

d)

dodecagon

92.

The sum of the interior angles of a polygon is __________________ where n is the number of sides.

a)

(n - 2)180

b)

(n - 1)180

c)

360

d)

(n - 3)(180)

93.

The sum of the exterior angles of a polygon is __________________ where n is the number of sides.

a)

360

b)

n

c)

(n - 2)180

d)

(n - 1)180

94.

Find the sum of the interior angles of a nonagon.

a)

1260

b)

900

c)

1620

d)

180

95.

Find the measure of angle E.

a)

9

b)

97°

c)

48°

d)

79°

96.

Find the value of X.

a)

60

b)

120

c)

85

d)

55

97.

a)

A

b)

B

c)

C

d)

D

98.

a)

A

b)

B

c)

C

d)

D

99.

a)

A

b)

B

c)

C

d)

D

100.

a)

A

b)

B

c)

C

d)

D

Geometry Semester 1 Review

Total questions: 100

Worksheet time: 5hrs 4mins

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