Download Name Date Period Advanced Geometry Chapter 1 Review 1. If the

Name _______________
Date ________________
Period ______________
Advanced Geometry Chapter 1 Review
1. If the pattern indicated below is
[C] R
continued, what would be the total number
Q
of cubes in the 7th stage of the pattern?
[D]
1,
1+4=5,
P
P
Q
R
1+4+9=14
4. Let B be between C and D . Use the
Segment Addition Postulate to solve for v .
CB = 3v  10
BD = 5v  6
CD = 24
[A] 140
[B] 8
[C] 64
5. Find the distance between the points (7,
–7) and (3, –4).
[D] 130
2. Goldbach’s conjecture states: every even
number greater than 2 can be written as the
sum of two primes. Which sum for 30
supports this conjecture?
6. Name a point in the exterior of BCD .
B
E
G
[A] 15+15
F
D
C
[B] 2+28
H
[C] 12+18
7. If mJOK = 23 and mIOK = 52 ,
then what is the measure of IOJ ?
[D] 17+13
3. PR is represented by which sketch?
I
J
[A]
R
K
Q
P
[B]
P
Q
R
O
b g
8. The midpoint of QR is M 2, – 5 . One
endpoint is R(9, – 2) . Find the coordinates
of the other endpoint.
Name _______________
Date ________________
Period ______________
Advanced Geometry Chapter 1 Review
y
13. Find the area and circumference of the
circle. Use  = 3.14.
10
R10 x
–10
16
M
Q
–10
9. Find the measures of PMN and
NMR if MN bisects PMR . The
measure of PMR is 98 . Draw a sketch
that shows the given information.
14. Find the area:
5 yd
10. Solve for x:
b2x  34g
14 yd
15. You are cutting out a triangular mainsail
for your model sailboat. The mainsail is 13
inches in height with a base of 3 inches.
What is the area of the mainsail?
b4x  30g
16. Two distinct planes intersect. Describe
their intersection. Draw a sketch to support
your answer.
11. Name
an angle supplementary to AOC .
17. Draw a plane that intersects two planes.
B
18. m  FDE = ( 2 x  7 )  and m  CDE =
( 10 x  1 )  and m  FDC = 66  .
Find m  FDE and m  CDE.
C
A
D
F
O
E
E
C
12. Find the perimeter and area of a
rectangle with length 150 ft and width 60 ft.
D
Name _______________
Date ________________
Period ______________
Advanced Geometry Chapter 1 Review
19. If angle ROS is obtuse and angle TOR is
straight, then angle TOS is what kind of
angle?
b2x  136g
b2x  28g
S
T
O
R
[A] obtuse
[B] straight
[C] right
[D] acute
20. T is the midpoint of PQ . Which one of
the following is not an appropriate
statement?
[A] PT  TQ  PQ
[B] PT  TQ
[C] PT  TQ
[D] PT  TQ
21. AB bisects LAX and LAX
measures 76 . Find the measure of  XAB .
22. Solve for x:
23. Define complementary angles.
24. Your parents ask you to water the lawn.
It is a square plot that is 15 ft on each side
and it has a square cement fountain in the
center that is 3 ft on each side. What is the
area of the lawn that you will water?
25. A can of paint will cover 70 square feet.
How many cans of paint are needed to paint
a wall 5 feet high and 98 feet long?
Name _______________
Date ________________
Period ______________
Reference: [1.1.1.2]
[1] [A]
Advanced Geometry Chapter 1 Review
[9]
P
Reference: [1.1.2.11]
[2] [D]
N
Reference: [1.2.1.15]
[3] [C]
Reference: [1.3.1.26]
[4] v = 5
R
M
mPMN  49 , mNMR  49
Reference: [1.3.2.33]
[5] 5 units
Reference: [1.6.1.65]
[10] 2
Reference: [1.4.1.39]
[6] E or H
Reference: [1.6.2.69]
[11] COD or AOE
Reference: [1.4.1.43]
[7] 29
Reference: [1.5.1.56]
[8] (–5, –8)
Reference: [1.5.2.59]
Reference: [1.7.1.75]
[12] perimeter = 420 ft
area = 9000 ft 2
Reference: [1.7.1.78]
[13] Area: 200.96, Circumference: 50.24
Reference: [1.7.1.80]
[14] 35 yd 2
Reference: [1.7.2.87]
[15] 19.5 in.2
Name _______________
Date ________________
Period ______________
Advanced Geometry Chapter 1 Review
Reference: [1.2.2.21]
[23] Two angles are complementary if the
[16] They intersect in a line.
sum of their measures is 90 .
Reference: [1.7.2.86]
[24] 216 ft 2
Reference: [1.2.2.20]
[17]
Reference: [1.4.1.45]
[18] m  FDE = 17  and m  CDE =
49 
Reference: [1.4.2.51]
[19] [D]
Reference: [1.5.1.55]
[20] [C]
Reference: [1.5.2.60]
[21] m XAB  38
Reference: [1.6.1.66]
[22] 4
Reference: [1.6.2.72]
Reference: [1.7.2.84]
[25] 7