Download 9 Unit 6 Test Honors

Unit 6H Test
Name_____________________ Period______
Read all of the questions carefully. All work must be shown under the appropriate problem to receive full credit. 2
points each unless specified. 60 points total.
1. If you rotate ΔRST 180 about point U, the most specific name for the resulting quadrilateral is:
S
A) Parallelogram
U
B) Rhombus
C) Rectangle
V
x
R
D) Trapezoid
o
T
2. Parallelogram ABCD is given below. What is the value of x?
A) 2
11x + 9
A
B) 3
C) 6
D) 16
B
31
D
C
6(x + 4)
3. Figure ABCD is a rhombus. What is mBAC ?
B
A
A) 25
25º
B) 50
C) 65
D) 75
D
C
4. Which of the following is not a characteristic of all rectangles?
A) Consecutive angles are supplementary
B) Diagonals are perpendicular
C) Diagonals bisect each other
D) Opposite angles are congruent
5. Given rectangle NOPQ , if the mPNO  23 then the mPNQ is:
A) 23
O
N
B) 46
Z
C) 67
D) 75
Q
P
____
60
6. The figure below is a kite. Solve for x.
3x  17
A) 39
B) 13
C) 22
22
D) 15
7. Use the Venn diagram. A quadrilateral ABCD has 4 lines of symmetry. Identify the area of the diagram in
which ABCD resides.
Quadrilaterals
I
Parallelograms
II
Rhombi
Squares
Rectangles
III
IV
V
Trapezoids
VI
VII
Kites
A) III
B) IV
C) V
D) VII
For # 8-10 use the diagram and given information to solve. N, M, and O are midpoints. MO = 3x + 7,
GI = 7x +6, and GM = 5x - 6
G
8. Find GI. __________
N
M
9. Find MO. __________
H
10. Find NO. __________
O
I
B
11. What are the values of the variables
in parallelogram ABCD?
C
4x + 6
6x - 8
x = ___________
5y + 16
D
A
y = ___________
12. Rectangle NOPQ
O
N
QO = 10x – 8
NZ = 3x + 6
x = __________
Z
QO = ____________
P
Q
13. Rhombus ABCD
B
A
AB = 10x – 4
BC = 4x + 8
AE = x
E
AC = _________
Perimeter of ABCD = __________
D
C
14. In DEF , E is a right angle and mF  50 . Which list shows the sides in order from shortest to
longest?
A) DE , EF , FD
B) DE , FD , EF
C) FD , DE , EF
D) EF , DE , FD
15. A triangle has two sides that have lengths of 4 cm and 14 cm. Which could represent the length of the third
side of the triangle?
A) 3 cm
B) 10 cm
C) 17 cm
D) 18 cm
16.
and
M
L
K
. Determine if the quadrilateral must be a parallelogram. Justify your answer.
N
A) No. Only one set of angles and sides are given as congruent. The conditions for a
parallelogram are not met.
B) Yes. Opposite angles are congruent to each other. This is sufficient evidence to prove
that the quadrilateral is a parallelogram.
C) Yes. Opposite sides are congruent to each other. This is sufficient evidence to prove
that the quadrilateral is a parallelogram.
D) Yes. One set of opposite sides are congruent, and one set of opposite angles are
congruent. This is sufficient evidence to prove that the quadrilateral is a parallelogram.
17. JKLM is a rhombus. If
, what is the value of
? Grid your answer correctly.
18. The triangle below shows a point of concurrency. The interior segments are angle bisectors.
What is the name of the point of concurrency in the triangle?
___________________________
19. Complete the proof. (5 points)
Given:
,
Prove:
20. Write the slope-intercept form of the equation of the line through the given points: (-3, -1) and (-5, 5)
A) 𝑦 = 3𝑥 − 10
B) 𝑦 = −3𝑥 + 10
C) 𝑦 = −3𝑥 − 10
D) 𝑦 = 3𝑥 + 10
21. What would best describe the following two lines?
1) 6𝑥 + 8𝑦 = 12
2) −4𝑥 + 3𝑦 = 20
A) Parallel
B) Perpendicular
C) Neither
D) Same Line
In questions 9–11, use the diagram of a scalene where M is the midpoint of AB . (2 pts. each)
k

g
C
h
B
A
M
22. The incenter of ABC lies on which line? _________
23. The circumcenter of ABC lies on which line? _________
24. The centroid (center of mass) of ABC lies on which line? _________
25. In the diagram, 𝑚∠5 = 110° 𝑎𝑛𝑑 𝑚∠6 = 110°. Explain why 𝑝 ∥ 𝑞. Include the name of the Theorem used.
p
q
5
6
26. A figure is reflected across the y axis, then reflected across the line y=x. Which single transformation
results in the same image?
A) a rotation 45°
B) a rotation -45°
C) a rotation 90°
D) a rotation -90°
E) a rotation 180°
27. The statements for a proof are given below.
Given:
NO  PM
NO PM
Prove: OP  MN
O
P
N
M
Proof:
STATEMENTS
REASONS
1. NO  PM , NO PM
2. ONP  MPN
1. Given
3. NP  NP
4. MPN  ONP
5. OP  MN
2.
3.
4.
5.
What reason makes the statement in Step 4 true?
A) side-angle-side (SAS)
B) side-side-side (SSS)
C) corresponding parts of congruent triangles are congruent (CPCTC)
D) angle-side-angle (ASA)
28. Solve for x and the measure of the exterior angle.
(2 pts) x = ___________________
(1 pt) exterior angle measure = _______________