Download Geometry Chapter 6 Practice Test

Geometry Chapter 6 Practice Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Find the sum of the measures of the angles of the figure.
____
a. 900
b. 1080
c. 1620
d. 1260
2. The Polygon Angle-Sum Theorem states: The sum of the measures of the angles of an n-gon is ____.
a.
b.
c.
d.
____
____
3. A road sign is in the shape of a regular heptagon. What is the measure of each angle on the sign? Round to the
nearest tenth.
a. 900
b. 231.4
c. 128.6
4. Find the value of x. The diagram is not to scale.
d. 64.3
(2x + 10)º
148º
(2x)º
112º
____
____
a. 90
b. 35
c. 100
d. 45
5. How many sides does a regular polygon have if each exterior angle measures 20?
a. 17 sides
b. 20 sides
c. 21 sides
d. 18 sides
6. Find the values of the variables in the parallelogram. The diagram is not to scale.
29
102
y°
z°
____
x°
a.
b.
7. In the parallelogram,
c.
d.
and
J
Find
The diagram is not to scale.
K
O
M
____
L
a. 69
b. 106
8. For the parallelogram, if
3
and
find
d. 64
The diagram is not to scale.
4
2
____
c. 116
1
a. 9
b. 17
9. What is the missing reason in the proof?
Given:
with diagonal
Prove:
A
D
Statements
c. 173
B
C
Reasons
d. 163
1. Definition of parallelogram
1.
2.
3.
4.
5.
6.
2. Alternate Interior Angles Theorem
3. ?
4. Alternate Interior Angles Theorem
5. Reflexive Property of Congruence
6. ASA
a. Reflexive Property of Congruence
c. Alternate Interior Angles Theorem
b. Definition of parallelogram
d. ASA
____ 10. In the figure, the horizontal lines are parallel and
Find JM. The diagram is not to scale.
M
A
8
L
B
K
C
J
D
a. 16
b. 32
c. 8
d. 24
____ 11. Find values of x and y for which ABCD must be a parallelogram. The diagram is not to
scale.
A
B
4x – 2
y + 14
4y – 7
x + 28
D
C
a. x = 10, y = 38
b. x = 10, y = 21
c. x = 10, y = 7
d. x = 7, y = 10
____ 12. Based on the information in the diagram, can you prove that the figure is a parallelogram? Explain.
a. Yes; both pairs of opposite sides are congruent.
b. Yes; opposite angles are congruent.
|
|
c. No; you cannot prove that the quadrilateral is a parallelogram.
d. Yes; two opposite sides are both parallel and congruent.
____ 13. Which description does NOT guarantee that a quadrilateral is a square?
a. is both a rectangle and a rhombus
b. is a parallelogram with perpendicular diagonals
c. has all sides congruent and all angles congruent
d. has all right angles and has all sides congruent
____ 14. In the rhombus,
Find the value of each variable. The diagram
is not to scale.
3
1
|
|
2
a. x = 10, y = 85, z = 6
c. x = 5, y = 85, z = 3
b. x = 5, y = 175, z = 6
d. x = 10, y = 175, z = 3
____ 15. Find the values of a and b.The diagram is not to scale.
a°
36°
113°
b°
a.
c.
b.
d.
____ 16. Judging by appearances, which figure is a trapezoid?
a.
c.
b.
d.
____ 17.
What is LM?
A
B
L
M
D
C
a. 171
____ 18. Find
b. 85.5
c. 79
in the kite. The diagram is not to scale.
d. 95.5
|
3
1
2
B
||
||
D
39°
|
A
C
a. 51, 51
b. 39, 39
c. 39, 51
d. 51, 39
Short Answer
19. For what values of x and y must this quadrilateral be a parallelogram? Find the lengths of the sides. The
diagram is not to scale.
4x
2x + 4
6y
3y + 19
20. Isosceles trapezoid ABCD has legs
19, find the value of y.
and
and base
If AB = 4y – 6, BC = 4y – 5, and CD = 5y –
Geometry Chapter 6 Practice Test
Answer Section
MULTIPLE CHOICE
1. ANS: A
PTS: 1
NAT: M.1.d| G.3.f KEY: sum of angles of a polygon
DOK: DOK 1
2. ANS: D
PTS: 1
NAT: M.1.d| G.3.f KEY: Polygon Angle-Sum Theorem
DOK: DOK 1
3. ANS: C
PTS: 1
NAT: M.1.d| G.3.f
KEY: sum of angles of a polygon | equilateral | Corollary to the Polygon Angle-Sum Theorem | regular
polygon
DOK: DOK 2
4. ANS: D
PTS: 1
NAT: M.1.d| G.3.f KEY: Polygon Angle-Sum Theorem
DOK: DOK 2
5. ANS: D
PTS: 1
NAT: M.1.d| G.3.f KEY: sum of angles of a polygon
DOK: DOK 2
6. ANS: D
PTS: 1
NAT: G.1.c| G.3.f
KEY: parallelogram | opposite angles | consecutive angles | transversal
DOK: DOK 2
7. ANS: C
PTS: 1
NAT: G.1.c| G.3.f KEY: parallelogram | angles
DOK: DOK 2
8. ANS: D
PTS: 1
NAT: G.1.c| G.3.f
KEY: algebra | parallelogram | opposite angles | consecutive angles
DOK: DOK 2
9. ANS: B
PTS: 1
NAT: G.1.c| G.3.f
KEY: proof | two-column proof | parallelogram | diagonal
DOK: DOK 2
10. ANS: D
PTS: 1
NAT: G.1.c| G.3.f KEY: transversal | parallel lines
DOK: DOK 2
11. ANS: C
PTS: 1
NAT: G.1.c| G.3.f KEY: algebra | parallelogram | diagonal
DOK: DOK 2
12. ANS: B
PTS: 1
NAT: G.1.c| G.3.f KEY: opposite angles | parallelogram
DOK: DOK 2
13. ANS: B
PTS: 1
NAT: G.1.c| G.3.f KEY: square | reasoning
DOK: DOK 1
14. ANS: C
PTS: 1
NAT: G.1.c| G.3.f KEY: algebra | diagonal | rhombus
DOK: DOK 2
15. ANS: A
PTS: 1
NAT: G.1.c| G.3.f KEY: trapezoid | base angles
DOK: DOK 2
16. ANS: D
PTS: 1
NAT: G.1.c| G.3.f KEY: trapezoid
DOK: DOK 1
17. ANS: B
PTS: 1
NAT: G.1.c| G.3.f KEY: trapezoid | base angles
DOK: DOK 2
18. ANS: C
PTS: 1
NAT: G.1.c| G.3.f KEY: kite | diagonal
DOK: DOK 2
SHORT ANSWER
19. ANS:
x = 7, y = 3; 18, 28
PTS: 1
DOK: DOK 2
20. ANS:
13
NAT: G.1.c| G.3.f
KEY: algebra | rectangle
PTS: 1
DOK: DOK 2
NAT: G.1.c| G.3.f
KEY: isosceles trapezoid | algebra