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Worksheets1st Block - Angle Addition, Segment Addition, Midpoint, and Distance
Total questions: 60
Worksheet time: 5hrs 32mins
Name
Class
Date
1.
Find HG.
a)
8
b)
9
c)
10
d)
11
2.
Solve for x
a)
x = 2
b)
x = 4
c)
x = 6
d)
x = 8
3.
Q is the midpoint of PR.
PQ = 6x – 7 and QR = 5x + 1.
Find the length of PR.
PQ = 6x – 7 and QR = 5x + 1.
Find the length of PR.
a)
8
b)
16
c)
41
d)
82
4.
Find the value of x.
a)
18°
b)
28°
c)
38°
d)
118°
5.
If m∠1=2x+3, and m∠2=3x+7,
which is the value of x?
which is the value of x?
a)
16
b)
20
c)
34
d)
35
6.
Solve
a)
50°
b)
58°
c)
115°
d)
226°
7.
D is the midpoint of C and E. If CD= 4x+6 and DE= 6x-6, find the length of CE.
a)
30
b)
60
c)
90
d)
12
8.
If < ABC= 103⁰, find m< ABD
a)
45
b)
13
c)
57
d)
46
9.
a)
17
b)
25
c)
42
d)
84
10.
Find the distance between (-5, -8) and (-1, -16).
a)
8.9
b)
9.8
c)
10.3
d)
11
11.
Find the midpoint of the segment with the endpoints:(6, 7) and (6, -5)
a)
(0, -1)
b)
(6, 1)
c)
(1, 6)
d)
(0, 1)
12.
Angle JHG measures 161.
a)
m∠GHK=80.5,
m∠KHJ=161
m∠KHJ=161
b)
m∠GHK=161,
m∠KHJ=80.5
m∠KHJ=80.5
c)
m∠GHK=80.5,
m∠KHJ=80.5
m∠KHJ=80.5
d)
m∠GHK=161,
m∠KHJ=161
m∠KHJ=161
13.
Find the value of ∠A.
a)
25 degrees
b)
30 degrees
c)
35 degrees
d)
90 degrees
14.
Find the value of ∠A.
a)
39 degrees
b)
49 degrees
c)
51 degrees
d)
59 degrees
15.
Find AB
a)
3
b)
4
c)
5
d)
2
16.
Given that R is between S and T.
RS=6, TR=4.5, TS= ______
RS=6, TR=4.5, TS= ______
a)
1.5
b)
10.5
c)
6
d)
4.5
17.
D is the midpoint of EF.
ED = 4x + 6
DF = 7x -9
Find EF.
ED = 4x + 6
DF = 7x -9
Find EF.
a)
5
b)
26
c)
52
d)
22
18.
Find the midpoint of the segment with the endpoints:(6, 7) and (6, -5)
a)
(0, -1)
b)
(6, 1)
c)
(1, 6)
d)
(0, 1)
19.
Part of a line. Has one endpoint and continues on forever in one direction.
a)
Line Segment
b)
Line
c)
Ray
d)
Point
20.
Find AC
a)
3
b)
4
c)
5
d)
2
21.
Find AC
a)
7
b)
8
c)
22
d)
23
22.
Use the figure to write and solve an equation for x.
a)
5
b)
6
c)
7
d)
8
23.
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.
24.
a)
MQ=4, PQ=8
b)
MQ=4, PQ=4
c)
MQ=8, PQ=4
d)
MQ=8, PQ=8
25.
If AB = 2x+3, BC = 3x-5, and AC = 38, what is the value of x ?
a)
11
b)
12
c)
8
26.
M is the midpoint of AB. If AM = 5x+10 & MB = 4x+16, find the value of AM.
a)
6
b)
4
c)
70
d)
40
27.
What is the midpoint between (-4,4) and (-2,2)?
a)
(3,2)
b)
(-3,3)
c)
(4,5)
d)
(6,7)
28.
Find the endpoint of the segment with the endpoint of (-4, 5) and midpoint of (7, -9)
a)
(18, 13)
b)
(13, 18)
c)
(11,4)
d)
(1.5, -2)
29.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
30.
Solve
a)
80°
b)
40°
c)
180°
d)
140°
31.
Solve
a)
50°
b)
58°
c)
115°
d)
226°
32.
a)
x=67
b)
x=43
c)
x=55
d)
x=12
33.
a)
Ray AB
b)
Distance from A to B
c)
Line AB
d)
Segment AB
34.
a)
Line AB
b)
Ray BA
c)
Segment AB
d)
Ray AB
35.
Find DE
a)
5
b)
6
c)
20
d)
21
36.
Find AC
a)
7
b)
8
c)
22
d)
23
37.
If GH = 8 and HI = 17, Find GI
a)
8
b)
9
c)
24
d)
25
38.
If JK = 7 and
LJ = 20, find KL
LJ = 20, find KL
a)
12
b)
13
c)
27
d)
28
39.
Given that C is between A & B, which Segment Addition statement is correct?
a)
AC + AB = CB
b)
AC + CB = AB
c)
AB + BC = AC
d)
CA + CB = CA
40.
Given that A is between B and C, which Segment Addition statement is correct?
a)
AB + BC = AC
b)
BC + BA = BC
c)
AB + AC = BC
d)
AB + BC = AC
41.
Use the figure to write and solve an equation for x.
a)
5
b)
6
c)
7
d)
8
42.
a)
12
b)
9
c)
8
d)
10
43.
Find the distance between the points: (-3, -4) and (5, 5)
a)
11.8
b)
14.4
c)
12
d)
19
44.
Find the midpoint between (-9, -1) and (-2, -6).Round to the nearest tenth.
a)
(-3.5, -5.5)
b)
(-3.5, 5.5)
c)
(-5.5, -3.5)
d)
(5.5, -3.5)
45.
Find the distance between (-9, -1) and (-2, -6).Round to the nearest tenth.
a)
8.6
b)
12.1
c)
9.9
d)
13.0
46.
a)
(3, 1)
b)
(3.5, 1)
c)
(4, 1)
d)
(2, 0)
47.
What is the midpoint between (3, -1) and (7, -5)
a)
(5, -2)
b)
(10, -6)
c)
(5, -3)
d)
(2, -2)
48.
Find the y-coordinate of the midpoint of the line
a)
1
b)
2
c)
-2
d)
3
49.
Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)
a)
(-1, 13)
b)
(13, 1)
c)
(13, -1)
d)
(5, 13)
50.
What point is halfway between (3, -1) and (8, -6)?
a)
(11, -7)
b)
(-5.5, -3.5)
c)
(5.5, -3.5)
d)
(2, -2)
51.
Find the length between ( 1, 3) and (5, 6)
a)
3
b)
4
c)
5
d)
6
52.
The length between (3, 8) and (-2, -4) is ______?
a)
√17
b)
13
c)
17
d)
169
53.
What is the distance of JK, where J(4,3) and K(2, -3)?
a)
√ ̅3̅2̅
b)
40
c)
32
d)
√ ̅4̅0̅
54.
Part of a line that consists of two points, called endpoints.
a)
Line
b)
Ray
c)
Angle
d)
Line segment
55.
Points that lie on the same line
a)
Coplanar points
b)
Noncollinear points
c)
Collinear points
d)
Noncoplanar points
56.
A location in space that is represented by a dot and has no dimensions
a)
Point
b)
Line
c)
Plane
d)
Angle
57.
Find the direct distance between the court house and the town hall.
a)
26
b)
6.8
c)
10
d)
7.2 km
58.
Midpoint (8,1) (-11,4)
a)
(−23,25)
b)
(219,25)
c)
(219,−23)
d)
(−23,−23)
59.
On a map’s coordinate grid, Walt City is located at (-1, -3) and Koshville is located at (4, 9). How long is a train’s route as the train travels along a straight line from Walt City to Koshville? (One map unit equals one mile.)
a)
4.1 miles
b)
6.7 miles
c)
13 miles
d)
15 miles
60.
Coach Alvarado drew his football team’s next play on a coordinate grid. He placed Kaleem at (1, 3). He will be passing the ball to Jeremy at (-6, 3). What is the distance, in yards, of the pass from Kaleem to Jeremy?
a)
7 yards
b)
11 yards
c)
49 yards
d)
61 yards
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