Uploaded by Andrew McCann

Chapter 1 Review

advertisement
Honors Geometry
Chapter 1 Review
Name: ___________________________________
Date: ________________
Period: ___________
Directions: Use the diagram at the right.
E
1.)
How many straight angles have their vertex at G?
2.)
GB  BD 
3.)
Which angle in the figure can be named with one letter?
4.)
How many triangles are shown?
5.)
Which two angles add up to AFC ?
6.)
ED  FG 
7.)
EFA  AFB 
8.)
DC  BG 
9.)
FG  GB  FB 
D
F
G
A
C
B
Directions: Answer the following questions.
10.)
Determine the angle formed by the hands of a clock at 11:24.
R
11.)
A
In ABC and RST,
a. Which two segments must be congruent?
B
b. Which two angles must be congruent?
12.)
C
T
S
Z
Give the length of each side of XYZ.
9 cm
6 cm
8 cm
X
Y
13.)
Write A if the statement is always true, S if it is sometimes true, or N if it is never true.
a.
Given: <DBC is a right angle.
Conclusion: <ABC is obtuse.
D
A
B
b.
Given: F is between E and G.
Conclusion: EF  FG
14.)
C
E
C
F
AP is six more than twice as long as PK. If AK has length 72, how long is AP ?
P
A
K
B
15.)
M
BM  PV
BP  MV
BM = 3x + 12
MV = 2y – 8
PV = 5y + 34
BP = x – 3
Find the perimeter of BMVP.
P
V
E
16.)
Name the congruent segments.
Line
F
bisects EG ?
l
G
H
17.)
G
J
Name the congruent angles.
a.
JK bi sec ts GJF
b.
BD bi sec ts ABC
E
F
D
A
K
C
B
18.)
Name the angle bisector if ABE  EBC
E
A
D
B
19.)
P
OR and OS trisec t TOP
C
R
TOP  40.2
S
Find mPOR
O
T
Directions: Supply a valid reason for each of the following conclusions. Write all answers as a complete sentence,
using “If, then” form when possible.
20.)
Given: A is a right angle
B is a right angle
Conclusion: A  B
A
B
A
A
Reason: ___________________________________________________
___________________________________________________
D
21.)
Given: DE bisec ts AC
C
B
A
E
Conclusion:
AB  BC
Reason: ___________________________________________________
___________________________________________________
22.) Change:
a.) 7222’30” to degrees
7
b.) 46  to degrees, minutes, seconds
8
c.) 1326’ to degrees
23.)
Given: ABE is a right angle
DBC is a right angle
DBE = 30
Prove: ABD  CBE
B
A
D
E
C