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Worksheets

2023 CP Geo Sem 1 Final

Total questions: 50

Worksheet time: 2hrs 52mins

Name
Class
Date
1.

<4 and <9 are:

a)

Vertical Angles

b)

Alternate Interior Angles

c)

Consecutive Interior Angles

d)

Linear Pair

2.

Which is a pair of corresponding angles?

a)

Angle 1 & Angle 4

b)

Angle 2 & Angle 7

c)

Angle 8 & Angle 6

d)

Angle 3 and Angle 5

3.
Find the measure of angle A.
a)
132 degrees
b)
111 degrees
c)
28 degrees
d)
22 degrees
4.
Name the angle vertical to <PQM
a)
<JQM
b)
<MQP
c)
<LQJ
d)
<LQN
5.

Find the measure of <1 given that the vertical lines are parallel

a)

94o

b)

86o

c)

47o

d)

102o

6.
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. 
7.

Find the m<A

a)

38°

b)

42°

c)

58°

d)

60°

8.

Identify the missing statement or reason

a)

Given

b)

Vertical Angles Congruence Theorem

c)

Definition of Bisects

d)

Alternate Interior Angles Theorem

9.

Which property justifies the statement: BC=BC?

a)

Symmetric Property

b)

Reflexive Property

c)

Transitive Property

d)

Substitution Property

10.
Angle 1 = 2x+9
Angle 2 = 3x-144
Find the measure of Angle 3.
a)
45o
b)
135o
c)
63o
d)
153o
11.
Solve for x
a)
5
b)
90
c)
25
d)
10
12.
Solve for x
a)
6
b)
140
c)
20
d)
90
13.
If ∠C and ∠D are supplementary, and the measure of ∠D is 45°, what is the measure of ∠C?
a)
135
b)
45
c)
125
d)
90
14.
If ∠H and ∠J are complementary, and the measure of ∠H is 45°, what is the measure of ∠J?
a)
135
b)
45
c)
60
d)
55
15.

Given: AM = GH

Conclusion: GH = AM

Justification: ?

a)

Symmetric Property

b)

Reflexive Property

c)

Transitive Property

d)

Substitution Property

16.

Given: 2x = 14

Conclusion: x = 7

Justification: ?

a)

Addition Property

b)

Subtraction Property

c)

Multiplication Property

d)

Division Property

17.
Solve for x.
a)
16
b)
11
c)
50
d)
6
18.
Q is the midpoint of PR.
PQ = 6x – 7 and QR = 5x + 1.
Find the length of PR.
a)
8
b)
16
c)
41
d)
82
19.
Solve for x
a)
x = 2
b)
x = 4
c)
x = 6
d)
x = 8
20.

Find the measure of angle 2 given that segment PB bisects <DBC

a)

5

b)

20

c)

40

d)

35

21.

Select all the TRUE statements

a)

E is the midpoint of segment DF

b)

line k bisects plane M

c)

m<DEB = m<CEF

d)

points A, D, E and F are coplanar

e)

line j and line k intersect at point E

22.

Select all the TRUE statements.

a)

points F, E, and G are collinear

b)

line l intersects plane P at point D

c)

line l bisects segment FG

d)

points F, E, and I are coplanar

e)

another name for plane Q is plane FEG

23.

Select all the TRUE statements.

a)

<JKH and <LKH are a linear pair

b)

line b bisects line a

c)

line c intersects plane R at point K

d)

another name for line HK is line HB

e)

points J, K, N and L are noncoplanar

24.

What is the REASON for Statement #3?

a)

Given

b)

Definition of Complementary Angles

c)

Substitution Property

d)

Reflexive Property

25.

T<4,0>T_{<-4,0>}  will move a figure

a)

4 units right

b)

4 units left

c)

4 units up

d)

4 units down

26.

Write a rule for the transformation.

a)

T<1,2>T_{<-1,2>} (ABC)

b)

T<2,1>T_{<-2,1>} (ABC)

c)

T<2,1>T_{<2,-1>} (ABC)

d)

T<1,2>T_{<1,-2>} (ABC)

27.

Identify the transformation from ABC to A'B'C'.

a)

r(90°)r_{\left(90\degree\right)} (ABC)

b)

r(270°)r_{\left(270\degree\right)} (ABC)

c)

R(yaxis)R_{\left(y-axis\right)} (ABC)

d)

R(xaxis)R_{\left(x-axis\right)} (ABC)

28.

Point (-5,2) is rotated 180 degrees. Where is the new point located?

a)

(5,2)

b)

(-5,-2)

c)

(-5,2)

d)

(5,-2)

29.

Segment TS is a midsegment of triangle GHI. Find the value of x.

a)

4

b)

6

c)

8

d)

10

30.

What is the measure of ∠D?

a)

56

b)

57

c)

14

d)

66

31.
Which would be the best classification for the triangle shown?
a)
acute isosceles
b)
right scalene
c)
acute scalene
d)
obtuse scalene
32.
What is the value of x?
a)
75
b)
80
c)
63
d)
60
33.
Can the sides of a triangle have lengths 3, 8, and 9?
a)
Yes
b)
No
34.
What is a possible third side to a triangle with side lengths of 13 and 4?
a)
9
b)
12
c)
8
d)
5
35.
Which of the following would NOT work to make a triangle with the two side lengths of 2 and 6?
a)
6
b)
7
c)
5
d)
4
36.
Name the smallest angle in this triangle.
a)
∠A
b)
∠B
c)
∠C
37.
Two sides of a triangle have side lengths of 17 meters and 12 meters.  What is the range of possible lengths for the third side?
a)
12 < x < 17
b)
12 < x < 29
c)
5 < x < 17
d)
5 < x < 29
38.
List the side measures in order, shortest to longest.
a)
QM, QP, MP
b)
MQ, MP, QP
c)
MP, MQ, QP
39.
Find AD AND BC
a)
5;12
b)
16;4
c)
12; 16
d)
5;16
40.

What is the REASON for Statement #4?

a)

Given

b)

Simplify

c)

Addition Property

d)

Reflexive Property

41.

What is the REASON for Statement #5?

a)

Substitution Property

b)

Subtraction Property

c)

Addition Property

d)

Reflexive Property

42.

What is the REASON for Statement #6?

a)

Division Property

b)

Subtraction Property

c)

Substitution Property

d)

Prove

43.

Which statement is false

a)

BH  AD\overline{BH}\ \perp\ \overline{AD}

b)

<AHG<CHD<AHG\cong<CHD

c)

<BHC and <CHD are complementary

d)

<BHC<GHF<BHC\cong<GHF

44.

Conclusion: m∠1 + m∠2 = m∠LAN

Justification: ?

a)

Given

b)

Substitution Property

c)

Angle Addition Postulate

d)

Definition of Congruent Angles

45.

Conclusion: l||m

Justification: ?

a)

Alternate Interior Angles Theorem

b)

Same-Side Interior Angles Converse Theorem

c)

Alternate Exterior Angles Theorem

d)

Alternate Interior Angles Converse Theorem

46.

Find the value of x

a)

x=4

b)

x=32x=\frac{3}{2}

c)

x=23x=\frac{2}{3}

d)

x=-4

47.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
48.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
49.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
50.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D