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Geometry Semester 1 Exam

Total questions: 54

Worksheet time: 1hrs 29mins

Name
Class
Date
1.

Which coordinate notation represents the translation?

a)

(x, y)(x5,y7)\left(x,\ y\right)\rightarrow\left(x-5,y-7\right)

b)

(x, y)(x+6,y+4)\left(x,\ y\right)\rightarrow\left(x+6,y+4\right)

c)

(x, y)(x+5,y+7)\left(x,\ y\right)\rightarrow\left(x+5,y+7\right)

d)

(x, y)(x4,y6)\left(x,\ y\right)\rightarrow\left(x-4,y-6\right)

2.

Which of the following is the definition of an obtuse angle?

a)

angle with measure between 90 & 180

b)

angle with measure between 0 & 90

c)

angle with measure of exactly 90

d)

angle with measure of exactly 180

3.

Find the midpoint between G( -1, 2) and H( -3, - 4)

a)

(12,72)\left(\frac{1}{2},-\frac{7}{2}\right)

b)

(2,1)\left(-2,-1\right)

c)

(4,2)\left(-4,-2\right)

d)

(1,3)\left(1,3\right)

4.

Which of the following can be used to prove the triangles congruent?

a)

SSS

b)

ASA

c)

SAS

d)

SSA

5.

Which of the following sets of angle measures could be the 3 interior angles of a triangle? Choose all that apply.

a)

75°, 80°, 25°75\degree,\ 80\degree,\ 25\degree

b)

40°, 40°, 90°40\degree,\ 40\degree,\ 90\degree

c)

30°, 60°, 90°30\degree,\ 60\degree,\ 90\degree

d)

10°, 20°, 150°10\degree,\ 20\degree,\ 150\degree

6.

Which of the following statements is correct?

a)

The lines are parallel because the angles are equal.

b)

The lines are parallel because the angles are supplementary

c)

The lines are not parallel because the angles are not equal

d)

The lines are not parallel because the angles are not supplementary

7.

Find the measure of   1\angle1  

a)

 95°95\degree  

b)

 85°85\degree  

c)

 46°46\degree  

d)

 64°64\degree  

8.

Calculate m∠ABC.

a)

45°

b)

60°

c)

105°

d)

15°

9.
a)
12
b)
9
c)
8
d)
10
10.
The type of reasoning where a person makes  conclusions based on observations and patterns is called...
a)
Inductive reasoning
b)
Deductive reasoning
c)
Conjecture
d)
Experiments
11.
What is a conjecture?
a)
A statement believed to be true based on observations.
b)
An example which disproves an hypothesis.
c)
the performance of tricks that are seemingly magical
12.
Find the next term in the sequence:
A, D, G, J, _____
a)
L
b)
M
c)
P
d)
K
13.
How many cubes would be in the 10th figure?
a)
18
b)
16
c)
17
d)
41
14.

For the converse we _________ the hypothesis and conclusion

a)

switch

b)

negate

c)

switch and negate

15.
a)
x=67
b)
x=43
c)
x=55
d)
x=12
16.

Write the inverse of the following statement.

"If a figure is a triangle, then the angles add to 180.

a)

If a figure is not a triangle, then the angles do not add to 180.

b)

If the angles of a figure do not add to 180, then it is not a triangle.

c)

If a figure has angles that add to 180, then it is a triangle.

17.

What type of relationship do  3\angle3  and  10\angle10  have?

a)

Corresponding Angles

b)

Linear Angles

c)

Same Side Interior Angles

d)

Alternate Interior Angles

18.

What is the transversal that causes  14\angle14  and  1\angle1   to be alternate exterior angles?

a)

p

b)

q

c)

r

d)

s

19.

Parallel lines have what kind of slope?

a)

Matching Reciprocals

b)

Equal

c)

Opposite Reciprocals

d)

Non Existent

20.

A flat surface that is made up of points that extends indefinitely in all directions

a)

Plane

b)

line segment

c)

line

d)

point

21.
Name the following formula.
a)
midpoint
b)
slope
c)
distance
22.

 ΔABC  ΔJKL\Delta ABC\ \cong\ \Delta JKL  

Which of the following statements are true?

 (There are more than one)

a)

 AB  JKAB\ \cong\ JK  

b)

 CB  KLCB\ \cong\ KL  

c)

 B  K\angle B\ \cong\ \angle K  

d)

 ΔBCA ΔKLJ\Delta BCA\ \cong\Delta KLJ  

e)

 ΔCBA  ΔJLK\Delta CBA\ \cong\ \Delta JLK  

23.

Which of the following describes  FDE\angle FDE  

a)

Right Angle

b)

Acute Angle

c)

Obtuse Angle

d)

Straight Angle

24.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis
25.

Identify the transformation from C to D.

a)

270o Counterclockwise Rotation

b)

180o Rotation

c)

90o Counterclockwise Rotation

d)

360o Rotation

26.
Given that the slope is  -4 and the y intercept is -4 what is the equation of the line?
a)
y = 4x - 4
b)
y = -4x - 4
c)
y = -4
d)
y = -4x + 4
27.

If two lines are perpendicular to each other their slopes are ____________

a)

the same.

b)

negative reciprocals of each other.

28.
Name 4 collinear points
a)
HMNO
b)
IKNO
c)
MJOL
d)
HNKI
29.
Identify a pair of vertical angles.
a)
angle 1 and 2
b)
angle 1 and 4
c)
angle 3 and 4
d)
angle 1 and 3
30.

Find x in the following triangle.

a)

70

b)

110

31.

How are these two triangles congruent?

a)

SAS

b)

AAS

c)

SSS

32.
Name a segment that is parallel to NP.
a)
MR
b)
PR
c)
QP
d)
MN
33.
Find the value of ∠A.
a)
60 degrees
b)
30  degrees
c)
90 degrees
d)
120 degrees
34.
What type of angle is this? 
a)
obtuse
b)
acute
c)
right
d)
cute
35.

Identify the relationship between DAC and CAB\angle DAC\ and\ \angle CAB .

a)

supplementary

b)

complimentary

c)

congruent

d)

vertical

36.
What is it called when points lie on the same line.
a)
Midpoint
b)
Coplanear
c)
Segment Bisector
d)
Collinear
37.
Which would be the best classification for the triangle shown?
a)
acute isosceles
b)
equiangular scalene
c)
equiangular isosceles
d)
equiangular equilateral
38.
Which angle is the vertex angle?
a)
<C
b)
<A
c)
<B
39.
What is the value of x?
a)
51
b)
49
c)
78
40.
What is the relationship of the Angles
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Same Side Interior
41.
What does CPCTC stand for?
a)
Congruent parts of congruent triangles are congruent
b)
Corresponding parts of congruent triangles are congruent
c)
Corresponding parts of corresponding triangles are corresponding
d)
Corresponding parts of congruent triangles are Canadian.
42.
Complete the congruence statement.
a)
OEG
b)
OGE
c)
EGO
d)
GOE
43.
These triangles are congruent. If ∠E is 45o and ∠B is 55o what is the measure of ∠C?
a)
45o
b)
55o
c)
80o
d)
100o
44.
Are these triangles congruent?
a)
Yes, by AAS
b)
Yes, by SAS
c)
Yes, by SSS
d)
No, this is the SSA one!!
45.

Does a triangle with these

side lengths exist?


0, 11, 12

a)

Yes

b)

No

c)

I don't know.

46.
Identify the smallest angle.
a)
∠A
b)
∠B
c)
∠C
47.
Find the value of x.
a)
7
b)
8
c)
9
d)
10
48.
Does the set of numbers represent a Pythagorean Triple.
4, 5, 6
a)
Yes
b)
No
49.

Find the value of x.

a)

33\sqrt{33}

b)

29\sqrt{29}

c)

35\sqrt{35}

d)

41\sqrt{41}

50.
The lengths of a triangle are given below. Is the the triangle obtuse, acute, or right?
4, 5, 6
a)
right
b)
obtuse
c)
acute
51.

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

15.7

e)

None of them

52.
What type of special right triangle is this?
a)
Isoceles right
b)
30-60-90
c)
not a special right triangle
53.

What is the measure of side c?

a)

6

b)

626\sqrt{2}

c)

636\sqrt{3}

d)

12

54.

What is the measure of side b?

a)

5

b)

102\frac{10}{\sqrt{2}}

c)

525\sqrt{2}

d)

10310\sqrt{3}