Download Geometry Cumulative Exam Chapters 1 through 5

TEST NUMBER _________
Geometry Cumulative Exam Chapters 1 through 5 – Version A
1. Find the missing side length.
7. Show the conjecture is false by finding a
counterexample. For any real number x, x2 ≥ x.
25
24
a.
b.
1201
34.7
c.
d.
a. -9
c. 0
b. 3
d.
1
2
7
49
2. K is between J and L. JK = 3x – 5, and
8. Which reason justifies the following statement?
KL = 2x + 1. If JL = 16, what is JK?
If 1  2 and 2  3, then 1  3.
a. Transitive
c. Symmetric Property of 
Property of 
b. Substitution
d. Reflexive Property of 
a.
b.
7
4
c.
d.
9
13
3. Ray SU bisects RST. If mRST = (8x + 15)°
and mRSU = 5x°, what is mRST ?
a.
b.
25°
37.5°
c.
d.
50°
75°
9. Complete the statement.
Two lines are __________ if the same-side interior
angles are supplementary angles.
a. coinciding
c. intersecting
b. parallel
d. perpendicular
4. If the complement of X measures 22°, what is the 10. A line passes through the points (5, –8) and (6, 2).
measure of X’s supplement?
What is the slope of the line?
a.
b.
68°
78°
c.
d.
112°
159°
a.  10
b.

6
11
c.
1
10
d. 10
5. The perimeter of a square is 8 meters. What is its
area?
11. What is the slope of the line perpendicular to
a. 4 m2
c. 16 m2
a.
b. 8 m2
d. 64 m2
3
2
b.
2
3
6. What is the area of a circle whose diameter is
3 centimeters?
y
3
x  9?
2
c.
2
3
d.
3

2

12. What is the equation of the line that passes through
(0, –2) and (4, 6)?
a. 1.5 π cm2
c. 6 π cm2
a.
y  2x  2
c.
yx2
b. 2.25 π cm2
d. 9 π cm2
b.
1
y x2
2
d.
y  2 x  2
13. The endpoints of a segment are (2, –5), and
17. Which line coincides with the graph of
(3, 6). What is the midpoint?
6x – 10y = 30?
a.
3
a. (-1.5, 4.5)
b. (-0.5, -5.5)
y
c. (2.5, 0.5)
b.
d. (0.5, 2.5)
14. For which conditional statement is its converse
false?
a. If a fruit has seeds
c. If the day is between
inside, then it is an
Monday and
orange.
Wednesday, then it
is Tuesday.
b. If Meg lives in
d. If the car will not
start, then it is out of
Seattle, then she
gas.
lives in Washington.
y
5
x3
5
x3
3
3
x5
5
d.
5
y x5
3
y
18. What is the contrapositive of the statement?
If a triangle has at least two congruent angles, then
it is an isosceles triangle.
a. If a triangle has no
congruent angles,
then it is not an
isosceles triangle.
b. If a triangle is an
isosceles triangle,
then it has at least
two congruent
angles.
15. Complete the proof.
c.
c. If a triangle does not
have at least two
congruent angles,
then it is an
isosceles triangle.
d. If a triangle is not an
isosceles triangle,
then it does not have
at least two
congruent angles.
19. Complete the paragraph proof.
Given: 2( x  5)  0
Prove: x  5
Statement
Reasons
1. 2( x  5)  0
1. Given
2. 2x  10  0
2. Distrib. Prop.
3. 2 x  10
3. Subtr. Prop. Of Equal.
4. x  5
4.
a. Multiplication
Property of Equality
b. Division Property of
Equality
c. Subtraction Property
of Equality
d. Reflexive Property of
Equality
16. Which angles are alternate interior angles?
a. 1 and 4
c. 3 and 4
b. 1 and 5
d. 3 and 7
a. m2 + m3 = 180° c. m4 + m5 = 180°
b. m4 + m7 = 180° d. m6 + m7 = 180°
20. Which pair of angles are corresponding angles?
a. 1 and 2
c. 1 and 4
b. 5 and 7
d. 3 and 5
21. Complete the statement.
a. ∆RQP
c. ∆TUS
b.
d. ∆UST
∆STU
Angles Theorem
a. 36°
c. 128°
b. 82°
d. 134°
25. What is the distance between K (4,3) & L(5, 1)
rounded to the nearest tenth?
22. Complete the proof.
a. Alternate Interior
Angles Theorem
b. Alternate Exterior
24. Find y.
a. 9.85
c. 9.9
b. 9.8
d. 8.1
c. Same-Side Interior
Angles Theorem
d. Corresponding
Angles Theorem
23. Why is ∆PQS  ∆RQS?
a. SAS
c. AAA
b. ASA
d. HL
26. One of the base angles of an isosceles triangle is
40°. Which is the triangle classification according to its
angles?
a. Acute
c. Obtuse
b. Right
d. Equiangular
27.
31.
a. 65
c. 40
b. 50
d. 15
28. SV & RT are medians. What is JS  JT ?
a. 36
c. 18
b. 27
d. 9
32. In ∆JKL, JK > JL > KL. Which is the correct order of
the angles from smallest measure to largest?
R
V
4
3
a. J, L, K
c. K, L, J
b. J, K, L
d. L, K, J
J
U
S
T
a. 1
c. 3
b. 2
d. 4
29. Segment PQ is a midsegment. What is PQ?
a. 16
c. 32
b. 17
d. 34
30. John noticed that it had rained the last five
Tuesdays in a row, therefore he concludes it will
rain next Tuesday. Which term best describes the
type of reasoning John used?
a.
b.
contrapositive
inductive
c.
d.
deductive
conditional
33. Which equation can be solved by using the
Subtraction Property of Equality?
34. If ∆PQR  ∆STU, then which angle is congruent to
U?
a. P
c. R
b. Q
d. S
For questions 35 through 42, use the word
bank on the right to choose the correct
reason for each statement. Answer choices
may be used more than once or not at all.
B
A
D
C
Given: ABC is equilateral
BD is an altitude
Prove: BD bisects AC
Statements
1. ABC is equilateral
2. AB  BC
3. BD is an altitude
4. BDA & BDC are
Reasons
Given
35
A. SAS
Given
C. Def. of bisector
36.
right angles
5. BD  BD
6. BDC  BDA
AD  DC
8. BD bisects AC
7.
Answer Choices:
B. Def. of equilateral 
D. SSA
37.
E. Def. of midpoint
38.
39.
F. CPCTC
40.
H. HL
G. Reflex. Prop. Of 
I.
Symmetric Prop. Of 
J. Def. of altitude