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Geometry Minor Mastery (S1.2025)

Total questions: 50

Worksheet time: 4hrs 10mins

Name
Class
Date
1.

Name 4 collinear points

a)

H, M, N & O

b)

I, K, N & O

c)

M, J, O & L

d)

H, N, K & I

2.
Give another name for line k.
a)
Line BC
b)
Line BCE
c)
Line ED
d)
Line k is the only name, there isn't another name.
3.
Points that lie on the same line are _________.
a)
coplanar
b)
collinear
c)
parallel
d)
perpendicular
4.
Points that lie on the same plane are ________. 
a)
collinear
b)
coplanar
c)
parallel
d)
perpendicular
5.
Two planes intersect at a...
a)
line
b)
point
c)
plane
d)
letter
6.

xy \overrightarrow{xy}\  What does this represent?

a)

Ray xy

b)

Line xy

c)

Line segment xy

d)

Point xy

7.

Given angle  GHI\angle GHI  , what's the vertex?

a)

G

b)

H

c)

I

d)

None

8.

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

9.
XY =
a)
6
b)
28
c)
11
d)
7
10.
Solve for x
a)
x = 2
b)
x = 4
c)
x = 6
d)
x = 8
11.

Find the midpoint of the line segment with the given endpoints.

(0, 2), (-2, -8)

a)

(1, 5)

b)

(-4, -18)

c)

(-1, -3)

d)

(1, -5)

12.

Find the other endpoint of the line segment with the given endpoint A and midpoint M.

A(-4, 2), M(8, 7)

a)

(20, 12)

b)

(-1, 7.5)

c)

(-6, -2.5)

d)

(1.5, -5.5)

13.

Find the Distance between (10, 3) & (2,-3)

a)

11

b)

10

c)

21

d)

-21

14.

Which of the following is the correct formula for distance?

a)

d=(y2y1)2+(x2x1)2d=\sqrt{\left(y_2-y_1\right)^2+\left(x_2-x_1\right)^2}

b)

d=(y1y2)2+(x1x2)2 d=\sqrt{\left(y_1-y_2\right)^2+\left(x_1-x_2\right)^2}\

c)

d=(y2y1) 2(x2x1)2 d=\sqrt{\left(y_2-y_1\right)_{\ }^2-\left(x_2-x_1\right)^2}\

d)

d=(y2y1)2+(x2x1)2 d=\left(y_2-y_1\right)^2+\left(x_2-x_1\right)^2\

15.
2. Which angle has a measure closest to 45*?
a)
A.
b)
B.
c)
C.
d)
D.
16.
9.
a)
A. 75*
b)
B. 105*
c)
C. 80*
d)
D. 180*
17.

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  

18.

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

Find the value of x.

a)

8.5

b)

8

c)

33

d)

7

19.
Which are pairs of vertical angles?
a)
∠COB & ∠COA
b)
∠AOD & ∠AOC
c)
∠COB & ∠AOD
d)
∠BOD & ∠AOD
20.

Find the value of x.

a)

x=125

b)

x=55

c)

x=45

21.

What is the measure of each vertical angle?

a)

6 degrees, 6 degrees

b)

6 degrees, 174 degrees

c)

12 degrees, 12 degrees

d)

12 degrees, 168 degrees

22.
Find the value of x
a)
16
b)
8
c)
32.8
d)
39.2
23.
Name a pair of angles that form a linear pair.
a)
Angles 1 and 2
b)
Angles 2 and 4
c)
Angles 5 and 8
d)
Angles 9 and 10
24.
Find x
a)
12
b)
15
c)
9
d)
3
25.

Name a line skew to FG\overleftarrow{F}\overrightarrow{G}

a)

EH\overleftarrow{E}\overrightarrow{H}

b)

FB\overleftarrow{F}\overrightarrow{B}

c)

DC\overleftarrow{D}\overrightarrow{C}

d)

AD\overleftarrow{A}\overrightarrow{D}

26.

Name a line parallel to AD\overleftarrow{A}\overrightarrow{D}

a)

EH\overleftarrow{E}\overrightarrow{H}

b)

AB\overleftarrow{A}\overrightarrow{B}

c)

DC\overleftarrow{D}\overrightarrow{C}

d)

HG\overleftarrow{H}\overrightarrow{G}

27.

The figure shown is a right rectangular prism. Name a line perpendicular to AD\overleftarrow{A}\overrightarrow{D} .

a)

EH\overleftarrow{E}\overrightarrow{H}

b)

AB\overleftarrow{A}\overrightarrow{B}

c)

CG\overleftarrow{C}\overrightarrow{G}

d)

HG\overleftarrow{H}\overrightarrow{G}

28.

Two lines that are not coplanar are called _____ lines

a)

Parallel

b)

Perpendicular

c)

Intersecting

d)

Skew

29.

Match each graph to the type of slope.

a)

1.

negative slope

b)

2.

positive slope

c)

3.

zero slope

d)

4.

undefined slope

30.

Slopes of parallel lines are...

a)

the same.

b)

opposites.

c)

opposite reciprocals.

d)

always 7.

31.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

32.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
33.
What is the slope of a line parallel to the line whose equation is:  -2x + y = - 7?
a)
-2
b)
1/2
c)
-1/2
d)
2
34.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
35.
Find the slope of the line that passes through:
(6,7) and (4,2)
a)
2/5
b)
-5/2
c)
5/2
d)
-1/2
36.

Rewrite this equation in slope intercept form (y = mx. + b):

x + y = -15

a)

x = -y -15

b)

y = -x + 15

c)

y = -x - 15

d)

y = x - 15

37.

Rewrite this equation in slope intercept form (y = mx. + b):

9x + 3y = -6

a)

3y = 9x -6

b)

y = -3x -2

c)

y = -9x - 6

d)

y = -3x +2

38.

a)

110

b)

70

c)

100

d)

180

39.

Find the measure of angle z.

a)

122

b)

58

c)

95

d)

180

40.

8) Given the following two parallel lines that have been cut by a transversal.


1\angle1  and which angle make up Alternate Interior angles?

a)

2\angle2  

b)

6\angle6  

c)

5\angle5  

d)

3\angle3  

41.
WHAT IS THE CORRECT EQUATION TO FIND THE VALUE OF X?
a)
X=12
b)
8X - 17 + 5X +19 = 180
c)
8X - 17 = 5X +19
d)
X= -12
42.

What is the measure of <a?

a)

36o

b)

56o

c)

63o

d)

117o

43.
What is the measure of the missing angle?
a)
140
b)
130
c)
50
d)
90
44.

Order the angles of the triangle from smallest to largest

a)

Z, R, O

b)

Z, O, R

c)

R, O, Z

45.

Order the sides of the triangle from shortest to longest

a)

TA, RT, AR

b)

RT, AR, TA

c)

AR, RT, TA

46.
Do these three side lengths form a triangle?
1, 8, 8
a)
Yes
b)
No
47.
Do these three side lengths form a triangle?
5, 7, 13
a)
Yes
b)
No
48.
What is the range for the possible third side of a triangle containing side lengths 3 and 9?
a)
6<x<12
b)
7<x<11
c)
6≤x≤12
d)
7≤x≤11
49.
What is the range for the possible third side of a triangle containing side lengths 15 and 22?
a)
8<x<36
b)
7<x<37
c)
8≤x≤36
d)
7≤x≤37
50.
Which side of the triangle is the smallest?
a)
AB
b)
AC
c)
BC
d)
none of these