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Geometry Year Overview

Total questions: 63

Worksheet time: 1hrs 19mins

Name
Class
Date
1.
What is the relationship between angle 4 and angle 9?
a)
Vertical Angles
b)
Alternate Interior Angles
c)
Consecutive Interior Angles
d)
Linear Pair
2.
Which of the following terms best describes Angle d?
a)
Remote interior angle
b)
Corresponding angle
c)
Exterior angle
d)
Interior angle
3.
Which is a pair of corresponding angle?
a)
Angle 1 & Angle 4
b)
Angle 2 & Angle 7
c)
Angle 8 & Angle 6
d)
Angle 3 and Angle 5
4.
Which is a pair of Alternate Exterior Angles?
a)
Angle 2 & Angle 5
b)
Angle 1 & Angle 3
c)
Angle 7 & Angle 3
d)
Angle 8 & Angle 4
5.
What does SSS prove?
a)
Nothing
b)
Triangles similar
c)
Triangles congruent
d)
Triangle angle sum
6.
Identify the  missing statement or reason
a)
JL≅KL
b)
∠J≅∠L
c)
Definition of Midpoint
d)
LM≅LM
7.
Identify the  missing statement or reason
a)
Given
b)
Vertical Angles Theorem
c)
Definition of Angle Bisector
d)
Alternate Interior Angles Theorem
8.
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.
9.

Name the triangle congruence theorem, if possible, that makes the triangles congruent.

a)

SAS

b)

ASA

c)

AAS

d)

Not Possible

10.

Name the triangle congruence theorem, if possible, that makes the triangles congruent.

a)

SSS

b)

SAS

c)

ASA

d)

Not Possible

11.
Which angle of the triangle is the smallest angle? 
a)
< A
b)
< B
c)
< C
d)
< ACB
12.
Fill in the blank.
a)
Given
b)
Reflexive Property
c)
Transitive Property
d)
They're the same side!!!!!! 
13.
Which of the following is NOT a triangle congruence?
a)
Side-Side-Side
b)
Side-Angle-Side
c)
Angle-Angle-Side
d)
Angle-Side-Side
14.
Do the following side lengths form a triangle?
5, 6, 9
a)
Yes
b)
No
15.
Do the following side lengths form a triangle?
3, 10, 7
a)
Yes
b)
No
16.
Angles a and c are...
a)
Alternate interior angles
b)
Alternate exterior angles
c)
Complimentary angles
d)
Corresponding angles
17.
Write equation of the line containing (6,3) and (4,1)
a)
y = -1x + 5
b)
y = 1x - 3
c)
y = 1x + 5
d)
y = -1x + 3
18.
Write equation of the line containing (0,0) and (1,3)
a)
y = 1/3x + 2  2/3
b)
y = 3x + 2 2/3
c)
y = 1/3x + 0
d)
y = 3x + 0
19.
What is the slope of the line that passes through the following points:
(9, 3) and (7, 8).
a)
6
b)
3
c)
-5/2
d)
6
20.
Find the measure of angle A.
a)
132 degrees
b)
111 degrees
c)
28 degrees
d)
22 degrees
21.
Name the angle vertical to <PQM
a)
<JQM
b)
<MQP
c)
<LQJ
d)
<LQN
22.
If M(3, -4) is the midpoint of AB, where A is (2, -5), then what are the coordinates of B?
a)
B(2.5, -4.5)
b)
B(4, -3)
c)
B(1, -6)
d)
B(-3, 4)
23.
Find the measure of Angle 1
a)
94o
b)
86o
c)
47o
d)
102o
24.
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. 
25.
Find the missing angle.
a)
38° 
b)
42° 
c)
58° 
d)
60° 
26.
Are these lines parallel?  Why?
a)
Yes - the angles add up to 180
b)
Yes - the corresponding angles are congruent
c)
No - there's no tick marks
d)
No - the angles are not equal.
27.
Angle 1 = 2x+9
Angle 2 = 3x-144
Find the measure of Angle 3.
a)
153o
b)
45o
c)
63o
d)
135o
28.
Find the distance between (-5, -8) and (-1, -16).
a)
8.9
b)
9.8
c)
10.3
d)
11
29.
What is the distance between (-5, 3) and (4, -5)
a)
Square root of -145
b)
Square root of 145
c)
145
d)
-145
30.

Determine where X' would be if you translated 3 units to the left and 9 units down.

a)

(-4, 4)

b)

(-10, 2)

c)

(-4, -5)

d)

(-1, 5)

31.
Determine how to translate triangle A'B'C' to triangle ABC.
a)
right two, down five
b)
right two, down 9
c)
left two, down 9
d)
left two, down 5
32.
When an ordered pair is reflected across the x-axis, what changes?
a)
nothing
b)
y-value
c)
x-value
33.
The ordered pair (-3, 4) is reflected across the x-axis. What is the new ordered pair?
a)
(-3, -4)
b)
(3, 4)
c)
(3, -4)
d)
(-3, 4)
34.
Identify the transformation from C to D.
a)
90o Counter Clockwise Rotation
b)
180o Rotation
c)
270o Counter clockwise Rotation
d)
360o Rotation
35.

Which transformation is NOT a rigid motion?

a)

reflection

b)

rotation

c)

dilation

d)

translation

36.
A rigid motion creates figures that are ____________.
a)
congruent
b)
different sizes
c)
similar
d)
larger
37.

Order the sides of the triangle from shortest to longest.

a)

UV, UT, VT

b)

UV, VT, UT

c)

VT, UT, UV

d)

VT, UV, UT

38.
Which of the following is a possible  length for segment AC
a)
10
b)
15
c)
17
d)
9
39.
Using the hinge theorem, we can say that Angle 1 _____ Angle 2.
a)
Less than
b)
Greater than
c)
Equal to 
d)
Half of
40.
What is a possible third side to a triangle with side lengths of 13 and 4?
a)
9
b)
12
c)
8
d)
5
41.

Are points D and E collinear or coplanar?

a)

Collinear

b)

Coplanar

c)

Both

d)

Neither

42.
Points that lie on the same line are _________.
a)
coplanar
b)
collinear
c)
parallel
d)
perpendicular
43.
What are supplementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect
44.
What are complementary angles?
a)
Angles that add up to 180°
b)
Angles that add up to 90°
c)
Angles that are equal to each other
d)
Angles that are opposite of each other when lines intersect.
45.
Find the value of x
a)
-5
b)
28
c)
19
d)
-3
46.
What equation would you use to find the value of x?
a)
2x-6=7x+4
b)
2x-6+7x+4=90
c)
2x-6+7x+4=180
d)
2x-6+7x+4=360
47.
Find the measure of the indicated angle. 
a)
89
b)
211
c)
119
d)
81
48.
Solve for x.
a)
16
b)
11
c)
50
d)
6
49.
The smallest angle would be located where in a triangle?
a)
Across from the smallest side.
b)
Across from the largest side
c)
Cannot tell
50.

Where would the largest side of a triangle be located?

a)

Across from the largest angle.

b)

Across from the smallest angle.

c)

Next to the smallest side.

d)

Across the smallest side.

51.
Name the angles from SMALLEST to LARGEST
a)
Q, R, P
b)
P, Q, R
c)
R, P, Q
d)
R, Q, P
52.

Use the figure to determine which of the following angles has the greatest measure:  ∠ 1, ∠ 3, ∠4\angle\ 1,\ \angle\ 3,\ \angle4  

a)

∠1\angle1  

b)

∠3\angle3  

c)

∠4\angle4  

d)

Not enough information

53.
What are the series of rigid motions that would map ∆ABC onto ∆A''B''C''?
a)
a reflection followed by a rotation
b)
a reflection followed by a translation
c)
a translation followed by a rotation
d)
a translation followed by a reflection
54.
Which of the following describes the sequence of transformations shown?
a)
Reflect across the x-axis and then rotate -90 degrees around the origin
b)
Rotate -90 degrees around the origin and then translate down.
c)
Reflect across the x-axis and then reflect across the y-axis.
d)
Translate up and then rotate 90 degrees about the origin.
55.

If point B has coordinates (−8, 1), what are the coordinates of the point when it is reflected across the y-axis?

a)

(8, 1)

b)

(-8, -1)

c)

(-8, 1)

d)

(8, -1)

56.

What are the coordinates of B′ after the pentagon is rotated 90° about the origin?

a)

(1, 5)

b)

(-1, 5)

c)

(-5, 1)

d)

(5, 1)

57.

What are the coordinates of E′ after the pentagon is rotated 270° about the origin?

a)

(1, -2)

b)

(1, 2)

c)

(2, -1)

d)

(2, 1)

58.

What is m∠DFE if m∠DEG = 18°?

a)

9°

b)

18°

c)

36°

d)

72°

59.

What is the value of b if a = 9 and c = 41? Round to the nearest whole number.

a)

32

b)

40

c)

42

d)

50

60.

What are the possible values for x?

a)

x < 16

b)

4 < x < 16

c)

x < 40

d)

4 < x < 40

61.

Is ΔABC≅ΔEBD? Is\ \Delta ABC\cong\Delta EBD?\  
 If so, by which triangle congruence theorem?\ If\ so,\ by\ which\ triangle\ congruence\ theorem?  

a)

Yes, by SAS

b)

Yes, by AAS

c)

Yes, by ASA

d)

No, not congruent.

62.

What translation rule maps ABCD to AʹBʹCʹDʹ?

a)

T⟨1, 0⟩

b)

T⟨-1, 0⟩

c)

T⟨0, −1⟩

d)

T⟨0, 1⟩

63.

Which equation represents a line that is perpendicular to the line with equation y = 2x − 8? Select all that apply.

a)

y=12x+1y=\frac{1}{2}x+1  

b)

y=−12x+1y=-\frac{1}{2}x+1  

c)

x+2y=5x+2y=5  

d)

−x+2y=−3-x+2y=-3  

e)

−x−2y=9-x-2y=9