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HGeo Review 1.1-1.5

Total questions: 70

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

Which of the following is equivalent to 89o1115"89^o11'15"  ?

a)

89.5 degrees

b)

89.4 degrees

c)

89.1 degrees

d)

89.2 degrees

2.

Convert from decimal degree measure to degrees-minutes-seconds.

a)
b)
c)
d)
3.

Convert the angle to degrees, minutes and seconds.

a)
b)
c)
d)
4.

A = {1, 3, 5, 7, 9}

B = {2, 3, 5, 7}

What is A ∪ B ?

a)

{3, 5, 7}

b)

{2, 3, 5, 7, 9}

c)

{2, 3, 5, 7}

d)

{1, 2, 3, 5, 7, 9}

5.

Let C={2, 5, 7, 10} and B={x|x is an even whole number less than 9}. Find C ∩ B

a)

{2}

b)

{2, 4}

c)

{2, 10}

d)

{2, 5, 7}

6.

What does this symbol represent?

a)

Intersection "or"

b)

Union "or"

c)

Intersection "and"

d)

Union "and"

7.

What does this symbol represent?

a)

Intersection "or"

b)

Union "or"

c)

Intersection "and"

d)

Union "and"

8.
An angle is called a ________ if its measure is 180*.
a)
straight angle
b)
obtuse angle
c)
acute angle
d)
right angle
9.
An angle is called a ________ if its measure is greater than 90* and less than 180*.
a)
obtuse angle
b)
acute angle
c)
right angle
d)
angle bisector
10.
An angle is called a ________ if its measure is less than 90* and greater than 0*.
a)
acute angle
b)
right angle
c)
angle bisector
d)
exterior
11.
An angle is called a ________ if its measure is 90*.
a)
right angle
b)
angle bisector
c)
exterior
d)
interior
12.

What is a point in geometry?

a)

A point is a specific location in space that has no size or dimension.

b)

A point is a measurement of distance.

c)

A point is a two-dimensional shape.

d)

A point is a line segment.

13.

What is a line in geometry?

a)

A line is a curved path.

b)

A line is a closed shape.

c)

A line is a two-dimensional figure.

d)

A line is a straight path that extends infinitely in both directions.

14.

Which word matches the symbol?

a)

line

b)

segment

c)

point

d)

ray

15.

Which symbol matches the following word?


Ray

a)
b)
c)
d)
16.

BD\overrightarrow{BD}  bisects CBA\angle CBA  

Find the mCBAm\angle CBA  

a)

120°120\degree  

b)

65°65\degree  

c)

130°130\degree  

d)

125°125\degree  

17.

AB \overrightarrow{AB\ }  bisects CAD\angle CAD  .

Find the value of x.

a)

8.5

b)

8

c)

33

d)

7

18.

and find the measure of ∠ABD

a)

x=3/17 ∠ABD = 27°

b)

x=9 ∠ABD = 81°

c)

x=3 ∠ABD = 27°

d)

x= -3 ∠ABD = -27°

19.

If KM\overrightarrow{KM}  bisects  LKJ\angle LKJ  and  mMKJ=32°m\angle MKJ=32\degree  What is the  mLKJm\angle LKJ  ?


a)

32°

b)

64°

c)

16°

20.

Find the measures of  EFJ\angle EFJ  and  JFG if\angle JFG\ if  

FJ \overrightarrow{FJ}\  bisects  EFG\angle EFG  

a)

m<EFJ = 90°, m<JFG = 90°

b)

m<EFJ = 45° m<JFG = 45°

c)

m<EFJ = 180°, m<JFG = 180°

d)

m<EFJ = 45° m<JFG = 90°

21.

What ray is the bisector of AOC\angle AOC  ?


a)

OB\overrightarrow{OB}  

b)

OC\overrightarrow{OC}  

c)

BO\overrightarrow{BO}  

d)

OB\overline{OB}  

22.

Ray AB bisects <DAC. What is the value of x?

23.
Find the value of t
a)
-1
b)
5
c)
5.14
d)
7
24.
Find the value of x. 
a)
13
b)
8.6
c)
5
d)
130
25.
 ∠A = ≅
a)
∠M
b)
∠N
c)
∠L
26.

Which side of ΔYDW corresponds with side AC in ΔABC  

a)

Side YW

b)

Side DW

c)

Side YD

27.
What is the length of US?
a)
22
b)
17
c)
31
28.

Given that these two triangles are congruent, ∠A = ?

a)
∠B
b)
∠E
c)
∠D
d)
∠F
29.
Find measurement for QT.
a)
10
b)
6
c)
-10
d)
2
30.

If points A, B, C are collinear with B between A and C, the segment addition postulate is:

a)

AB + BC = AC

b)

BA + CB = AC

c)

CA + CB = AB

d)

BC + AC = CA

31.
RM=
a)
RM=6
b)
RM=3
c)
RM=12
d)
RM=9
32.
XY =
a)
6
b)
28
c)
11
d)
7
33.
This point divides a line segment into 2 equal parts.
a)
point
b)
vertex
c)
midpoint
d)
segment
34.
a)
-3
b)
0
c)
1
d)
3
35.

Given m∠PSR = 52° and m∠TSP = 41°, find m∠TSR.​ (a)  

Choose from the below words
93
11
177
122
44
36.
B is the midpoint of AC.  Find AB.
a)
2
b)
16
c)
8
d)
4
37.
What type of angle is shown?
a)
acute
b)
obtuse
c)
right
d)
straight
38.

A two-column proof is

a)

a proof in which the statement and reason for each step are written in boxes

b)

a proof in which the steps are written in the left column and the corresponding reasons are written in the right column

c)

a proof in which the statements and corresponding reasons are written in complete sentences

39.
What is a theorem?
a)
A statement that can be accepted without proof
b)
A statement that can be proven and that can also be used in later proof
c)
all of the above
d)
other
40.

Given: ∠1 and ∠2 are supplementary. What can you conclude?

a)

m1+m2=180°m\angle1+m\angle2=180\degree

b)

m1+m2=90°m\angle1+m\angle2=90\degree

c)

m1=m2m\angle1=m\angle2

d)

Nothing

41.

What would you fill in for the statement of #1?

a)

Given

b)

∠1 and ∠2 are supplementary

c)

m∠1 = 135°

d)

∠1 and ∠2 are supplementary

m∠1 = 135°

42.

What would you fill in for the reason of #1?

a)

Given

b)

∠1 and ∠2 are supplementary

c)

m∠1 = 135°

d)

∠1 and ∠2 are supplementary

m∠1 = 135°

43.

What would you fill in for the reason of #2?

a)

Substitution Property of Equality

b)

Angle Addition Postulate

c)

Definition of supplementary angles

d)

Subtraction Property of Equality

44.

What would you fill in for the reason on #2?

a)

Transitive Property of Equality

b)

Segment Addition Postulate

c)

Definition of Congruent Segments

d)

Substitution Property of Equality

45.

What would you fill in for the reason on #2?

a)

Definition of Congruent Angles

b)

Substitution Property of Equality

c)

Definition of Vertical Angles

d)

Transitive Property of Equality

46.

If two angles form a right angle, what can we say about their measures?

a)

They are supplementary

b)

They are congruent

c)

They are complementary

d)

They form a linear pair

47.

What is the definition of complementary angles?

a)

Angles that sum up to 180°

b)

Angles that form a linear pair

c)

Angles that form a right angle

d)

Angles that sum up to 90°

48.

What is the definition of supplementary angles?

a)

Angles that sum up to 180°

b)

Angles that sum up to 90°

c)

Angles that form a linear pair

d)

Angles that form a right angle

49.

Which property states that the measures of two angles are equal if and only if the angles are congruent?

a)

Definition of Congruence

b)

Transitive

c)

Symmetric

d)

Reflexive

50.

What is the name of this ray?

a)

AB\overrightarrow{AB}

b)

BA\overrightarrow{BA}

c)

A\overrightarrow{A}

d)

B\overrightarrow{B}

51.

True or False: When naming a line or line segment, the order of the points do not matter

a)

True

b)

False

52.

True or False: When naming a Ray, the order of the points do not matter

a)

True

b)

False

53.

2 Points on opposite ends of a line segment are

a)

Finishing Points

b)

Starting Points

c)

Endgame Points

d)

Endpoints

54.

Points on the SAME LINE

a)

Collinear Points

b)

Coplanar points

c)

Co Points

d)

Duo points

55.

This has one endpoint and extends infinitely in 1 direction

a)

Line

b)

Line Segment

c)

Point

d)

Ray

56.

This Geometric object is finite and has 2 endpoints....

a)

Line

b)

Ray

c)

Line Segment

d)

Plane

57.

This geometric object has no dimension and is represented by a single dot in space.

a)

Point

b)

Plane

c)

Line

d)

Ray

58.

Which is the correct geometric term for the given definition?

The union of two noncollinear rays with the same endpoint

a)

Angle

b)

Line Segment

c)

Perpendicular bisector

d)

Circle

59.
What is the probability of spinning green?
a)
0
b)
1/4
c)
1/2
d)
3/4
60.

Find AB      CD\overline{AB\ \ }\ \ \cap\ \ \overrightarrow{CD}  

a)

AD\overrightarrow{AD}  

b)

CC  

c)

ϕ\phi  

d)

BC\overline{BC}  

61.

Find AB      BC\overline{AB\ \ }\ \ \cup\ \ \overrightarrow{BC}  

a)

AD\overrightarrow{AD}  

b)

BB  

c)

ϕ\phi  

d)

AC\overline{AC}  

62.

Find BF      FC\overline{BF\ \ }\ \ \cup\ \ \overrightarrow{FC}  

a)

BC\overrightarrow{BC}  

b)

BFC\angle BFC  

c)

FF  

d)

BCF\angle BCF  

63.

Find BF      FC\overline{BF\ \ }\ \ \cap\ \ \overrightarrow{FC}  

a)

BC\overrightarrow{BC}  

b)

BFC\angle BFC  

c)

FF  

d)

BCF\angle BCF  

64.

Find EF      AB\overline{EF\ \ }\ \ \cap\ \ \overrightarrow{AB}  

a)

CC  

b)

BF\overline{BF}  

c)

ϕ\phi  

d)

BF\overrightarrow{BF}  

65.

Find BF      BC    FC\overline{BF\ \ }\ \ \cap\ \ \overline{BC\ }\ \ \cap\ \overline{FC}  

a)

CC  

b)

FBC\angle FBC  

c)

ϕ\phi  

d)

ΔFBC\Delta FBC  

66.

Find BF      BC    FC\overline{BF\ \ }\ \ \cup\ \ \overline{BC\ }\ \ \cup\ \overline{FC}  

a)

CC  

b)

FBC\angle FBC  

c)

ϕ\phi  

d)

ΔFBC\Delta FBC  

67.

Find DA   BC    FG\overrightarrow{DA}\ \cap\ \ \overline{BC\ }\ \ \cap\ \overrightarrow{FG}  

a)

CC  

b)

FCD\angle FCD  

c)

ϕ\phi  

d)

FC\overline{FC}  

68.
   6m2 + 16m
a)
2(3m2 + 8m)
b)
2m(3m + 8)
c)
2m(3m - 8m)
d)
not factorable
69.
Factor:
x+ 7x - 30
a)
(x + 10)(x - 7)
b)
(x - 10)(x + 3)
c)
(x + 10)(x + 3)
d)
(x + 10)(x - 3)
70.
A rectangle has an area of 4x2 +19x + 12 and a length of (x + 4). What is the width?
a)
4x - 3
b)
4x + 3
c)
2x + 6
d)
2x + 3