Chapter 1 Quiz Review

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Chapter 1 Quiz Review
• Name a line that contains
point F.
m
n
B
A
H
D
C
K
J
• Give another name for
line n.
• Name three collinear
points.
G
F p
• Name the plane
containing lines n and p.
• Find the measure of the given segment.
(draw a picture, show all work, and include
labels)
– Point H is between points G and I.
GH = 12.5 in GI = 17.3 in HI = ?
• Find the value of the variable and XY, if Z
is between X and Y. (draw a picture then
solve)
XZ = 5b + 1
ZY = 4b – 5 XZ = 11
• Find the distance and midpoint for the
given segment.
KN
G
H
K L
M
N P Q
–8
–7
–6
–5
–4
–3
–2
–1
0
1
2
3
4
5
R
6
7
8
• Find the distance and midpoint for the
segment between A(-3, 7) and B(6, 2)
• In the figure, ray GK bisects angle FGH
– Find y if angle FGK = 6a +7
and angle KGH = 8a - 2
F
x
G
y
K
H
• In the figure rays JK and KL are opposite
rays, angles 1 and 2 are congurent and ray
KM bisects angle NKL
J
What bisects angle JKN?
P
1
If angle JKM = 5x + 8 and angle 4 = x,
what is the measure of angle 4?
2
3 4
N
If angle JKN is a right angle and
angle 1 = 4t + 5, what is t?
K
M
L
Answers
• Name a line that contains
point F.
m
n
B
A
H
D
C
K
J
G
F p
– FG, GF, line p
• Give another name for
line n.
– AD, AC, CA, CD, DC, DA
• Name three collinear
points.
– A, C & D or J, D, & B
• Name the plane
containing lines n and p.
– Plane K
Answers
• Find the measure of the given segment. (draw a picture,
show all work, and include labels)
– Point H is between points G and I.
GH = 12.5 in GI = 17.3 in HI = ?
G
12.5 in
H
x
17.3 in
12.5 + x = 17.3
-12.5
-12.5
x = 4.8
HI = 4.8 in
I
Answers
• Find the value of the variable and XY, if Z is between X
and Y. (draw a picture then solve)
XZ = 5b + 1 ZY = 4b – 5 XZ = 11
x
5b + 1
11
5b + 1 = 11
-1 -1
5b = 10
/5
/5
b=2
Z
4b - 5
Y
XY = 5(2) + 1 + 4(2) – 5
= 10 + 1
XY = 14
+ 8–5
Answers
• Find the distance and midpoint for the
given segment.
KN
G
H
K L
M
N P Q
–8
–7
–6
–5
–4
–3
–2
–1
0
Distance:
Midpoint:
KN = 3 - -3 = 6
3 + -3
2
1
=0
2
3
4
5
R
6
7
8
Answers
• Find the distance and midpoint for the
segment between A(-3, 7) and B(6, 2)
( 2  7 )  (6   3)
2
5 9
2
25  81
106
2
2
36 7 2
,


2
2 

3 9
 , 
2 2
Answers
• In the figure, ray GK bisects angle FGH
– Find y if angle FGK = 6a +7
and angle KGH = 8a - 2
F
x
6a + 7
-6a
7 = 2a – 2
+2
+2
9 = 2a
/2
/2
a = 4.5
y
K
6a + 7 = 8a – 2
-6a
G
y = 8(4.5) – 2
= 36 – 2
= 34o
8a - 2
H
Answers
• In the figure rays JK and KL are opposite rays,
angles 1 and 2 are congurent and ray KM bisects
angle NKL
What bisects angle JKN? KP
If angle JKM = 5x + 8 and angle 4 = x, 5x + 8 + x = 180 P
6x + 8 = 180
what is the measure of angle 4?
- 8 -8
6x = 172
/6
/6
x = 28.666….
If angle JKN is a right angle and angle 1 = 4t + 5, what is t?
2(4t + 5) = 90
8t + 10 = 90
8t = 80
t=8
J
1
K
2
3 4
N
M
L
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