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Worksheets

e-Learning 1/26

Total questions: 51

Worksheet time: 5hrs 18mins

Name
Class
Date
1.

Find the length indicated.

(a)  

2.

Write an equation that correctly models the lengths shown.

a)

2x + 20 + x + 21 = 9

b)

2x + 20 + 9 = x + 21

c)

9 + x + 21 = 2x + 20

d)

2x + 20 - 9 = x + 21

3.
If GH = 8 and HI = 17, Find GI
a)
8
b)
9
c)
24
d)
25
4.

If RT=36, find the value of x.

a)

3

b)

4

c)

5

d)

6

5.

Calculate m∠ABC.

a)

45°

b)

60°

c)

105°

d)

15°

6.

If m∠RST = (12x -1)°, m∠RSU = (9x -15)°,

and m∠UST = 53°, find each measure.

a)

x = 13

m∠RST = 155°

m∠RSU = 102°

b)

x = 3

m∠RST = 35°

m∠RSU = 12°

c)

x = 22

m∠RST = 263°

m∠RSU = 183°

d)

x = 8

m∠RST = 95°

m∠RSU = 57°

7.
What does the word BISECT mean?
a)
To cut something into more than five pieces.
b)
It is a plane with two sets of wings.
c)
A shape that has three sides. 
d)
To cut something into two congruent pieces or in half.
8.
B is the midpoint of AC.  Find AB.
a)
2
b)
16
c)
8
d)
4
9.

EJ→ \overrightarrow{EJ}\  bisects  ∠DEF\angle DEF ,  m∠DEJ=5x+7m\angle DEJ=5x+7  ,  m∠JEF=8x−8m\angle JEF=8x-8 .
Find x.

a)

5

b)

2

c)

6

d)

13

10.
If ∠H and ∠J are complementary, and the measure of ∠H is 35°, what is the measure of ∠J?
a)
145
b)
55
c)
60
d)
65
11.
∠1 and ∠3 can best be described as what?
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
12.
Are these angles complementary, supplementary or neither?
a)
complementary
b)
supplementary
c)
neither
13.

Find the value of x.

a)

88

b)

78

c)

84

d)

74

14.

Choose the points that are collinear.

a)

A, B, and C

b)

A, C, and D

c)

A, E, and F

d)

B, C, and D

15.

Are the points D, G, and F coplanar?

a)

Yes

b)

No

16.
Find the distance between (-4, 5)
and (7, 18).
a)
√202
b)
√538
c)
√178
d)
√290
17.
Find the midpoint of the segment with the endpoints:(-7, -8) and (4, 7)  
a)
(-5.5, -7.5)
b)
(-1.5, -0.5)
c)
(-3, -1)
d)
(0.5, 1.5)
18.

Write the equation of a line PARALLEL to y = 2x + 3 that passes through the point (3, 1).

a)

y=2x −3y=2x\ -3

b)

y=2x−5y=2x-5

c)

y=2x + 1y=2x\ +\ 1

d)

y=−12x+52y=-\frac{1}{2}x+\frac{5}{2}

19.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
20.

Line 1: (15, 20), (17, 18)

Line 2: (-22, -18), (-20, -16)


The two lines are _____________________.

a)

Parallel

b)

Perpendicular

c)

Neither

21.

11) Given the two parallel lines cut by a transversal,

What is the measure of ∠4\angle4  if  m∠8=76°m\angle8=76\degree  ?



(a)  

22.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
23.

What is the value of x?

a)

15

b)

16

c)

18

d)

19

24.
Solve for x
a)
x = 77
b)
x = 7.5
c)
x = 8
d)
x = 18
25.
What is the value of x?
a)
13
b)
6.2
c)
29.8
26.
Solve for y.
a)
y = 20
b)
y = 120
c)
y = 60
d)
y = 10
27.

What is the value for x in the triangle?

a)

35 degrees

b)

70 degrees

c)

25 degrees

d)

45 degrees

28.
Solve for x
a)
5
b)
10
c)
25
d)
85
29.
Solve for x.
a)
7
b)
9
c)
-11
d)
-6
30.
a)

acute

b)

obtuse

c)

right

31.

Classify the following triangle

a)

Isosceles triangle

b)

Equilateral triangle

c)

Scalene triangle

32.
List the side measures in order, shortest to longest.
a)
QM, QP, MP
b)
MQ, MP, QP
c)
MP, MQ, QP
33.
List the angles in order by measure, smallest to largest.
a)
∠B, ∠A, ∠C
b)
∠A∠,B, ∠C
c)
∠A, ∠C, ∠B
34.
What is the shortest side of this triangle?
a)
B
b)
BA
c)
AC
d)
C
35.
What is the largest angle in this triangle?
a)
C
b)
A
c)
BA
d)
AC
36.
a)
x=3/17
b)
x=9
c)
x=3
d)
x= -3
37.
What does the word BISECT mean?
a)
To cut something into more than five pieces.
b)
It is a plane with two sets of wings.
c)
A shape that has three sides. 
d)
To cut something into two congruent pieces or in half.
38.

What does the word bisect mean?

a)

to double in size

b)

to cut in half and make 2 equal pieces

c)

to cut an insect

39.

If I bisect a  48°48\degree  angle, what will the measure of each "part" be?

a)

96°96\degree  

b)

16°16\degree  

c)

24°24\degree  

d)

None of these

40.

A picture of an angle bisector also ALWAYS shows which of the following?

a)

Vertical Angles

b)

Acute Angles

c)

Supplementary Angles

d)

Adjacent Angles

41.

If I bisect an angle, and each "part" now measures

60°60\degree , what was the measure of the original angle?

a)

120°120\degree  

b)

30°30\degree  

c)

90°90\degree  

d)

180°180\degree  

42.

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

a)

E←H→\overleftarrow{E}\overrightarrow{H}

b)

F←B→\overleftarrow{F}\overrightarrow{B}

c)

D←C→\overleftarrow{D}\overrightarrow{C}

d)

A←D→\overleftarrow{A}\overrightarrow{D}

43.

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

a)

E←H→\overleftarrow{E}\overrightarrow{H}

b)

A←B→\overleftarrow{A}\overrightarrow{B}

c)

D←C→\overleftarrow{D}\overrightarrow{C}

d)

H←G→\overleftarrow{H}\overrightarrow{G}

44.

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

a)

E←H→\overleftarrow{E}\overrightarrow{H}

b)

A←B→\overleftarrow{A}\overrightarrow{B}

c)

C←G→\overleftarrow{C}\overrightarrow{G}

d)

H←G→\overleftarrow{H}\overrightarrow{G}

45.

Name a line skew to A←D→\overleftarrow{A}\overrightarrow{D}

a)

E←H→\overleftarrow{E}\overrightarrow{H}

b)

A←B→\overleftarrow{A}\overrightarrow{B}

c)

C←G→\overleftarrow{C}\overrightarrow{G}

d)

F←G→\overleftarrow{F}\overrightarrow{G}

46.

Name a line skew to A←B→\overleftarrow{A}\overrightarrow{B}

a)

E←H→\overleftarrow{E}\overrightarrow{H}

b)

D←C→\overleftarrow{D}\overrightarrow{C}

c)

A←E→\overleftarrow{A}\overrightarrow{E}

d)

H←G→\overleftarrow{H}\overrightarrow{G}

47.

Name a line parallel to A←B→\overleftarrow{A}\overrightarrow{B}

a)

E←H→\overleftarrow{E}\overrightarrow{H}

b)

D←C→\overleftarrow{D}\overrightarrow{C}

c)

A←E→\overleftarrow{A}\overrightarrow{E}

d)

F←G→\overleftarrow{F}\overrightarrow{G}

48.

Are lines j and k skew?

a)
yes
b)
no
49.

Name a segment skew to segment EF.

a)

segment CD

b)

segment DH

c)

segment AE

d)

segment FG

50.

Name a segment parallel to segment EF.

a)

segment CD

b)

segment DH

c)

segment AE

d)

segment FG

51.

Two lines that are not coplanar are called _____ lines

a)

Parallel

b)

Perpendicular

c)

Intersecting

d)

Skew