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Transcript
Geometry 2010 – 5 week Assessment
Please DO NOT write on this Exam paper. Write your answers in the spaces provided on the answer
sheet; if you need scratch paper please ask.
Read each question carefully and make sure you attempt each one. – GOOD LUCK!
1. Classify the triangle by angle?
a. right
b. acute
c. equiangular
d. obtuse
For questions 6 – 9 use the diagram below
H
G
2. What is the measure of this angle in
degrees?
a. 35
b. 45
c. 135
d. 145
3. Make a conjecture about the next
term in the sequence: 1, 3, 9,
27______?
a. 36
b. 64
c. 81
d. 729
4. (x+3)2 =
a. x2 + 9
b. x2 + 9x + 6
c. x2 + 6x + 9
d. 2x + 6
5. Given m2 + 6 = 10, is the conjecture
that m = 2 true or false?
a. False; m = 4
b. True
c. False; m = 3
d. False m = ±2
J
I
Q
L
M
K
6. Name two vertical acute angles
a. KQL, KQM
b. KQL, IQH
c. GQI, IQM
d. HQL, IQK
7. Name a pair of obtuse adjacent angles
a. KQG, HQM
b. GQI, IQM
c. GQL, LQJ
d. HQG, IQH
8. Name a linear pair
a. KQG, HQM
b. GQL, LQJ
c. GQI, IQM
d. LQG, KQM
9. Name an angle supplementary to
MQI.
a. IQG
b. MQK
c. GQL
d. IQH
10. The measures of two complementary
angles are 12q – 9 and 8q + 14. Find the
measures of the angles.
a. 42, 48
b. 4.25
c. 8.75
d. 96, 48
For questions 14 -1 8 refer to diagram
n
below
A
H
D
m
B
C
J
G
F
11. In the figure GK bisects FGH.
F
xo
G
yo
K
H
If mFGK = 3v – 4 and mKGH = 2v +
7, find x
a. 58
b. 29
c. 33
d. 11
12. Classify the polygon
a.
b.
c.
d.
quadrilateral, convex, irregular
quadrilateral, concave, irregular
quadrilateral convex regular
pentagon, convex, regular
13. Which symbols accurately represent
the sentence: A line segment with
endpoints at A and B, perpendicular to
a line passing through points C and D
a.
AB  CD
b.
AB  CD
c.
AB  CD
d.
AB  CD
p
14. Name a line that contains point J.
a.
b.
c.
d.
DB
GF
n
p
15. What is another name for line n?
a. Line JB
b. AC
c. DC
d. DA
16. Which of these is NOT a way to refer
to line BD?
a. JB
b. m
c. JDB
d. Line JD
17. Name the intersection of lines m and n
a. H
b. B
c. D
d. G
18. Name 3 points that are collinear
a. B, A, H
b. A, D, C
c. J, D, C
d. G, F, H
19. Classify the polygon
a.
b.
c.
d.
decagon, convex, irregular
decagon, concave, irregular
dodecagon, convex, irregular
dodecagon, concave, irregular
20. In the diagram, k and n are two parallel
lines cut by a transversal, t. Which of
the following relationships is NOT
true?
22. What is the sum of the interior angles
of a pentagon?
a. 108
b. 180
c. 360
d. 540
23. Factor x2 + 5x – 66 into 2 binomials:
a. (x + 11)(x - 6)
b. (x – 11)(x + 6)
c. (x + 22)(x – 3)
d. cannot be factored
24. Why is this not a polygon?
t
1 2
3 4
5 6
78
a.
b.
c.
d.
k
n
m2 = m5
m1 = m8
m3 = m7
m4 = m5
21. Is this is a regular pentagon, if so
why?
a.
b.
c.
d.
No
Yes, all the angles equal
Yes, All the sides equal
Yes, all sides and all angles equal
a. It is an irregular polygon
b. It is not a closed figure
c. It is not made up of line
segments
d. Both b and c are true
25. Which of the following measures can
NOT be the lengths of the sides of a
triangle
a. 12, 10, 3
b. 4, 5, 7
c. 3, 6, 9
d. 5, 7,13
26. The first 3 angles of a quadrilateral are
45o, 75o, and 130o. What is the measure
of the fourth angle?
a. 250o
b. 110o
c. 70o
d. 67o
27. In ∆HOP segment PQ is a median,
segment PS is an altitude and QR a
perpendicular bisector. Which of the
following statements can NOT be
assumed to be true? P
R
H
a.
b.
c.
d.
Q
S
O
mRQH = mPSO
QH = OQ
mQPS = mSPO
mRQS = 90o
For questions 31 – 34 make sure you show your
work and only write or draw on your answer
paper
31. Use a straight edge to draw the
following diagram. Include any necessary
labels.
Line segment RS
Ray PQ bisecting RS at point Q
Line UV parallel to Segment RS
32. Find ma, m2 and m3
2
28. What is the product of one half, one
third, and one fourth?
1
a.
24
1
b.
9
13
c.
12
3
d.
8
3x 3 y 4 2 xy 2
29. Simplify:

y
2x 2
a.
6xy 5
b.
6x 2 y 5
c.
3x 2 y 5
d.
3x 2 y 7
30. Which of the following shows the
converse of the statement and whether
it is true or not?
If 2 angles form a linear pair, then they
are supplementary
a. If 2 angles are supplementary,
then they form a linear pair : True
b. If 2 angles are supplementary,
then they form a linear pair :
False, they may not be adjacent
c. 2 angles a supplementary if they
form a linear pair : true
d. If 2 angles are a linear pair, then
they are supplementary: true.
59o
47o
1
3
64o
33. Plot the following graphs
Y = ⅜x + 2
Y = -2x - 5
34. Find the value for x in this polygon
(x+7o)
(x+3)o
(2x)o
(2x)o
(x - 10)o
Answer Sheet – Honors Geometry - Fall Midterm
Name_______________________ Exam Version ____________
1.
_______
11. _______
21. _______
2. _______
12. _______
22. _______
3. _______
13. _______
23. _______
4. _______
14. _______
24. _______
5. _______
15. _______
25. _______
6. _______
16. _______
26. _______
7. _______
17. _______
27. _______
8. _______
18. _______
28. _______
9. _______
19. _______
29. _______
10. _______
20. _______
30. _______
For Questions 31 – 34 show any work here.
31..
32.
m1,_________m2_________, m3________
33.
34.
8
7
6
5
4
3
2
1
8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8
1
2
3
4
5
6
7
8
X = ________________