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Honors Geometry
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Chapter 1 Review
Find the length indicated.
1) Find BC 2) Find SU
x + 15
S V
x + 12 x + 13
T U
B D
C
16
17
x + 17
x + 18
Points A, B, and C are collinear. Point B is between A and C. Find the length indicated.
3) Find BC if BC = 7x, AC = 17x + 1,
and AB = 11.
Classify each angle as acute, obtuse, right, or straight.
4) 5)
6)
Worksheet by Kuta Software LLC
-1-
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Name the vertex and sides of each angle.
7) 8)
C J
I
D
E
H
9) m IHB = 34°, m BHG = 71x - 2, 10) Find m ABV if m VBC = 105°,
and m IHG = 2 + 86x. Find m BHG. m ABC = 24x + 7, and m ABV = 7x + 4.
H
I
G
C
B
B
V
A
Name the relationship: complementary, linear pair, vertical, or adjacent.
11) 12)
a
a
b
b
13) 14)
a
a
b
b
Worksheet by Kuta Software LLC
-2-
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List all information given by the marks on the diagram.
15) 16)
F R
K
V
J S
Q
E
U
D C
T
A) RQS @ VQU
B
SQ @ TR
a || b
B) RQS @ VQU
A
RK @ VJ
A) CD ⊥ BE
TU @ ST
CE @ BC
C) RQS @ VQU
DB || CA
TU @ ST
B) CD ⊥ BE
a || b
FEC @ ABC
D) RQS @ VQU
CE @ BC
TU @ ST
C) CD ⊥ BE
SQ @ TR
FEC @ ABC
DB || CA
D) CD ⊥ BE
DB || CA
DB @ CA
Find the area of each.
17) 18)
6.7 in
8.9 mi
11.6 in
11 mi
Worksheet by Kuta Software LLC
-3-
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19)
18 mi
Graph the image of the figure using the transformation given.
20) rotation 180° about the origin 21) reflection across the y-axis
( ) ( ) ( ) ( ) ( ) ( ) ( )
D-5, 0 , C -3, 3 , B -1, 2 , A -2, -2 E -5, -5 , F -2, -1 , G -1, -3
y y
x x
( ) ( )
22) translation: x, y → x + 4, y + 6
( ) ( ) ( )
R -4, -3 , S -3, -1 , T -1, -5
y
x
Worksheet by Kuta Software LLC
-4-
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