Geometry Test Review 1 with Key

Geometry A
Chapter 1 Test Review
1. Look at the set of dots below. Sketch the next figure, and predict the total number of dots in
the 6th figure.
2. Complete the table.
n = 1 n = 2
n = 3 n = 4
n
1 2 3 4 5 6
nth
number 1 3 5 ? ? ?
3. Make a conjecture about the pattern of the given data. Find the sum of the 6th row.
2
2 + 4 + 2
2 + 4 + 6 + 4 + 2
2 + 4 + ... + ( 2n − 2 ) + ( 2n ) + ( 2n − 2 ) + ... + 2
[1]
[2]
[3]
4. Draw a diagram illustrating the conjecture. Then, draw a counterexample diagram showing
the conjecture is not true.
If ∠PQR and ∠RQS are adjacent acute angles, then ∠PQS
is an acute angle.
[4]

Geometry A
Chapter 1 Test Review
5. Name three points in the diagram that are not collinear.
S
M
P
N O
6. PR is represented by which sketch?
[A]
[C]
P
R
Q
[5]
R [B] P
Q
R [D] P
Q
7. Draw a plane that intersects two planes.
P
[7]
Q
Q
R
R
[6]

8. If RS = 35 and QS = 59.6, find QR.
Q R S
Geometry A
Chapter 1 Test Review
[A] 24.6 [B] 94.6 [C] 14.6 [D] 35
9. Let D be between E and F . Use the Segment Addition Postulate to solve for n .
ED = 6n + 15
DF = 3n + 30
EF = 18
[A] n = 5 [B] n = 2 [C] n = –1 [D] n = –3
10. Find the distance between the points (–4, 3) and (0, 4).
[A] 17 [B] 65 [C] 65 [D] 17
11. Find the distance between the points (6, –3) and (14, –9).
12. Draw a labeled diagram for a ray.
[A]
[C]
B
A B
C
A
[11]
[B]
[D]
A B
A B
[8]
[9]
[10]
[12]

Geometry A
Chapter 1 Test Review
13. C is in the interior of ∠BOD . B is in the interior of ∠AOC . Then, B is also in the interior of
angle _____.
[A] ∠AOB [B] ∠AOD [C] ∠DOC [D] ∠DOB
14. m ∠ GEF = ( 2x + 7 )° and m ∠ DEF = ( 9x − 6 )° and m ∠ GED = 67° .
Find m ∠ GEF and m ∠ DEF.
D
F
G
E
15. The measurement of angle B is 108°. Classify angle B as an acute, right, or obtuse angle.
16. The midpoint of QR is M 1, 5
endpoint.
Q
y
10
–10 10 x
–10
M
R
[14]
[15]
b g . One endpoint is R( , )
[16]
[13]
7 4 . Find the coordinates of the other

Geometry A
Chapter 1 Test Review
17. If an obtuse angle is bisected, the resulting angles are _________.
[A] always obtuse [B] right angles [C] never congruent [D] always acute
18. Find the measures of ∠PMN and ∠NMR if MN bisects ∠PMR . The measure of ∠PMR
is 82° . Draw a sketch that shows the given information.
19. In the figure shown, m∠ AED = 126 ° . Which of the following statements is false?
A D
E
B C
[18]
[A] m∠ AEB = 54 °
[B] ∠AEB and ∠DEC
are congruent angles.
[C] m∠ BEC = 126 °
[D] ∠BEC and ∠CED
are vertical angles.
20. Solve for x:
b3x + 140g°
b5x + 24g°
21. Define complementary angles.
[20]
[21]
[17]
[19]

22. Name an angle complementary to ∠COD.
A
E
B C
O
D
Geometry A
Chapter 1 Test Review
[A] ∠DOE [B] ∠AOC or ∠DOE
[C] ∠DOC or ∠AOE
[D] ∠BOC
23. Find the perimeter and area of a rectangle with length 150 ft and width 30 ft.
24. Find the area:
36 yd
11 yd
[23]
[24]
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?
[25]
[22]

Reference: [1.1.1.1]
[1] 45
Reference: [1.1.1.3]
[2] 7, 9, 11
Reference: [1.1.2.6]
Geometry A
Chapter 1 Test Review
[3] 2, 8, 18, ... The sum of the nth row is 2 n .
2 The sum of the 6th row is 72.
Reference: [1.1.2.9]
Answers will vary. For example,
[4]
Reference: [1.2.1.12]
[5] Answers will vary. M, S, and O
Reference: [1.2.1.15]
[6] [A]

Reference: [1.2.2.20]
[7]
Reference: [1.3.1.25]
[8] [A]
Reference: [1.3.1.27]
[9] [D]
Reference: [1.3.2.32]
[10] [A]
Reference: [1.3.2.33]
[11] 10 units
Reference: [1.4.1.36]
[12] [A]
Reference: [1.4.1.41]
[13] [B]
Reference: [1.4.1.45]
[14] m ∠ GEF = 19° and m ∠ DEF = 48°
Reference: [1.4.2.50]
[15] obtuse
Geometry A
Chapter 1 Test Review

Reference: [1.5.1.56]
[16] (–5, 6)
Reference: [1.5.2.57]
[17] [D]
Reference: [1.5.2.59]
[18]
M
P
m∠ PMN = 41 ° , m∠ NMR = 41°
Reference: [1.6.1.62]
[19] [D]
Reference: [1.6.1.65]
[20] 2
Reference: [1.6.2.72]
N
Geometry A
Chapter 1 Test Review
[21] Two angles are complementary if the sum of their measures is 90° .
Reference: [1.6.2.74]
[22] [D]
Reference: [1.7.1.75]
perimeter = 360 ft
[23] area = 4500 ft 2
R

Reference: [1.7.1.80]
[24] 198 yd 2
Reference: [1.7.2.84]
[25] 7
Geometry A
Chapter 1 Test Review