Download DW Geometry Assessment - Crook County School District #1

District Assessment Crook County School District #1
Geometry - Fall Exam (revised 2015)
Student’s Name: __________________________________ Grade Level: _____
1. (Standard G-SRT.B.5)
If the measure of an exterior angle of a regular
polygon is 120˚, how many sides does the
polygon have?
3.
Period: ___________
(Standard G-CO.A.1)
“Two lines in a plane always intersect in
exactly one point.”
Which of the following best describes a
counterexample to the assertion above?
A. 3
B. 4
A. Coplanar lines
C. 5
B. parallel lines
D. 6
C. perpendicular lines
D.
A conditional statement is shown below.
If a quadrilateral has perpendicular diagonals,
then it is a rhombus.
(Standards G-CO.C.11, G-SRT.B5)
2. Which of the following is a counter example
to the statement above?
A.
intersecting lines
In the diagram below,  1   4
4. (Standards G-CO.C.9, G-CO.C.10)
l
1
2
3
C.
m
4
t
Which of the following conclusions does not
have to be true?
B.
D.
A. 3 and 4 are supplementary angles
B. Line l is parallel to line m.
C. 1  3
D. 2  3
5. (Standard G-SRT.B.5)
Given: TRAP is an isosceles trapeziod with
diagonals RP and TA . Which of the following
must be true?
8. (Standard G-SRT.B.5)
In the figure below, AC  DF and
A  D .
C
A. RP  TA
B
B. RP || TA
C. RP 
A
F
TA
D. RP bisects TA
E
6. (Standard G-SRT.B.5)
Which figure can serve as a counterexample to
the conjecture below?
If one pair of opposite sides of a quadrilateral is
parallel, then the quadrilateral is a parallelogram.
A.
B.
C.
D.
rectangle
Rhombus
Square
trapeziod
Which additional information would be enough
to prove that ABD  DEF ?
A. AB  DE
B. AB  BC
C. BC  EF
D. BC  DE
7. (Standard G-CO.C.11)
What values of a and b make quadrilateral
MNOP a parallelogram?
N
D
21
9. (Standard G.CO.C.10)
What is the m WZX ?
O
1320
V
3a – 2b
13
W
M
P
Z
4a + b
0
52
Y
A. a = 1, b = 5
X
B. a = 5, b = 1
C. a =
11
34
,b=
7
7
A. 800
B. 900
C. 1000
D. a =
11
34
,b=
7
7
D. 1100
10. (Standard G.CO.D.12)
Marsha is using a straightedge and compass to
do the construction shown below.
12. (Standard G.CO.D.12)
Given: angle A
What is the first step in constructing the angle
bisector of angle A?
B

P
l
Which best describes the construction Marsha is
doing?
A. a line through P parallel to line l
B. a line through P intersecting line l
C. a line through P congruent to line l
D. a line through P perpendicular to line l
11. (Standards G-SRT.B.5)
What is m 1 ?
D

C
A
A. Draw ray AD
B. Draw a line segment connecting points B
and C.
C. From points B and C, draw eual arcs that
intersect at D.
D. From point A, draw an arc that intersects the
sides of the angle at points B and C.
13. (Standard G-CO.C.11)
If ABCD is a parallelogram, what is the
length of segment BD?
36°
B
C
88°
5
7
E
6
A
1
D
A. 10
B. 11
A. 34°
C. 12
B. 56°
D. 14
C. 64°
D. 92°
14. (Standard G-SRT.B.5)
The sum of the interior angles of a polygon is the
same as the sum of its exterior angles. What
type of polygon is it?
17. (Standard G-CO.C.10)
Two angles of a triangle have measures of 55°
and 65°. Which of the following could not be a
measure of an exterior angle of the triangle?
A. quadrilateral
A. 115°
B. hexagon
B. 120°
C. octagon
C. 125°
D. decagon
D. 130°
15. (Standard G-CO.C.11)
In Parallelogram FGHI, diagonals IG and FH
are drawn and intersect at point M. Which of the
following statements must be true?
18. (Standard G-CO.C.10)
What is m x ?
B x
A. ∆FGI must be an obtuse triangle.
B. ∆HIG must be an acute triangle.
C. ∆FMG must be congruent to ∆HMG.
D. ∆GMH must be congruent to ∆IMF.
16. (Standard G-CO.C.11)
Quadrilateral ABCD is a parallelogram. If
adjacent angles are congruent, which statement
must be true?
A. Quadrilateral ABCD is a square.
A
60°
25°
C
A. 35°
B. 60°
C. 85°
D. 95°
19. (Standard G-CO.C.11)
In the figure below, AB || CD .
B. Quadirlateral ABCD is a rhombus.
A
D
(x + 40)°
(x – 40)°
C. Quadrilateral ABCD is a rectangle.
D. Quadrilateral ABCD is an isosceles trapeziod.
B
What is the value of x ?
A. 40
B. 50
C. 80
D. 90
C
20. (Standard G-SRT.B.5)
For the quadrilateral shown below, what is
ma  mc ?
C
c°
B 95°
32°
22. (Standard G-CO.C.11)
In the figure below, n is a whole number. What
is the smallest possible value for n?
D
a°
A. 53°
n
A
n
B. 137°
15
C. 180°
A. 1
D. 233°
B. 7
C. 8
21. (Standard G-CO.C.9)
In the accompanying diagram, parallel lines l
and m are cut by transversal t.
D. 14
23. (Standard G-CO.C.11)
Parallelogram ABCD is shown below.
t
1
A
l
2
B
m
E
Which statement about angles 1 and 2 must be
true?
A. 1  2
D
C
B. 1 is the complement of 2 .
Which pair of triangles can be established to be
congruent to prove that DAB  BCD ?
C. 1 is the supplement of 2 .
A. ∆ADC and ∆BCD
D. 1 and 2 are right angles.
B. ∆AED and ∆BEC
C. ∆DAB and ∆BCD
D. ∆DEC and ∆BEA
(G-CO.D.12, G-CO.C.9)
24.
A
500
B
1300
1300
D
C
Is ABCD a parallelogram? (Figure is not drawn to scale.) Explain your reasoning. You cannot answer,
“Because it looks like one or because it doesn’t look like one.”
(G-SRT.B.5)
25. BD is the perpendicular bisector of AC . Is ABD  CBD ? Why or why not? Explain your
reasoning.
B
A
C
D