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Math 3-4
Unit 2
Test Review
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4.
Competency 1: Angle Pair
Relationships
(7x + 4)
3
2
Given the following diagram:
(2x - 13)
4
What is the value of x?
1
6
9
5
1a.
7
8
Using the above diagrams,
identify a pair of complementary
angles.
5.
1b.
Using the above diagrams,
identify a pair of supplementary
angles.
2.
Using the above diagrams,
identify a pair of vertical angles.
3.
Given the following diagram:
(2x + 14)
Given the following diagram:
y
(2x - 30)
x
What is the value of x and y?
Competency 2: Conditional
Statements
(3x + 6)
6.
Given the conditional statement:
“If two angles are a linear pair,
they are supplementary.”
What is the value of x?
a) Write the contrapositive.
b) Classify the contrapositve
as true or false.
Created 6/20/05
© GUHSD #205
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Edited 6/6/06
Math 3-4
7.
Unit 2
Test Review
Given the conditional statement:
Competency 3: Deductive Reasoning
“If two angles are
supplementary, they the sum of
their angle measures is 180˚.”
11.
State whether the following
argument is valid or invalid. If it
is invalid, briefly explain why.

a) What is the converse?
b) Classify the converse as true
or false.


8.
Given the following conditional
statement:
“If the measure of an angle is
greater than 90˚, the angle is an
obtuse angle.”
12.
State whether the following
argument is valid or invalid. If it
is invalid, briefly explain why.

a) What is the inverse?
b) Classify the inverse as true
or false.
9.
If a figure is a triangle, then it
is a polygon.
I drew a figure that is a
polygon.
Therefore, the figure that I
drew is a triangle.


If today is Saturday, then I go
to work.
Today is Saturday.
Therefore, I go to work.
Given the following conditional
statement:
“If a > b, then a is positive.”
What is the counterexample that
proves the conditional statement
false?
13.
If the following two premises
(statements) are true, what
conclusion can you reach?

10.
Given the following conditional
statement:

A scalene triangle has 3
sides that are different
lengths.
∆ABC has 2 sides that are
the same length.
“If the sum of two numbers is
positive, then both numbers
must be positive.”
What is a counterexample that
proves the conditional statement
is false?
Created 6/20/05
© GUHSD #205
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Math 3-4
14.
Unit 2
The statements below are out of
order.
Test Review
17.
The algorithm below is a stepby-step geometric procedure.
1. If a figure is a square, then it
is a rhombus.
2. If a figure is a parallelogram,
then it is a quadrilateral.
3. If a figure is a quadrilateral,
then it is a polygon.
4. If a figure is a rhombus, then
it is a parallelogram.
I. Subtract the first
y-coordinate from the
second y-coordinate.
II. Subtract the first
x-coordinate from the
second x-coordinate.
III. Express your answer as a
ratio of the answer from
Step I over the answer
from Step II.
Which of the following lists the
statements in the correct logical
order?
a.
b.
c.
d.
Which of the following does the
algorithm best represent?
2, 4, 3, 1
1, 4, 2, 3
3, 2, 1, 4
4, 2, 3, 1
a. Calculating the slope
of a line.
b. Calculating the yintercept of a graph.
c. Calculating the length
of a line segment.
d. Calculating the
midpoint of a line
segment.
Competency 4: Distributive Practice
15.
Given the following sequence:
5, 7, 10, 14, 19, …
a) What are the next two
terms?
18.
Given the following graph:
4
b) Briefly describe the pattern
for the sequence.
G: (1, 4)
2
-5
16.
What is the distance between
point R ( -4, 2 ) and
point S ( 3, -5 )? Round your
answer to the nearest tenth.
5
-2
F: (-3, -3)
-4
What is the midpoint between
the two points?
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© GUHSD #205
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Math 3-4
19.
Unit 2
Given the diagram below and
Test Review
22.
bisects ABC .
Given the following graph:
_
_
A
D
C
B

If mABC = 42 and
mDBC = (8x + 12)  , what is
the value of x?
What is the slope of the line?
23.
What is the equation of the line
that passes through (6, 2) and
3
has a slope of  ?
2
24.
What is the equation of the line
that passes through (-4, 6) and
(8, -3)?
Competency 5: Distributive Practice
20.
What are the algebraic steps to
determine whether the ordered
pair (-2, -14) is a solution to the
equation y = 3x – 8?
21.
What is the slope of the line that
passes through the points (1, 5)
and (-1, -3)?
Created 6/20/05
© GUHSD #205
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Edited 6/6/06
Math 3-4
Unit 2
Competency 3
ANSWERS
11. INVALID, the polygon that was
drawn could have been a pentagon,
hexagon, decagon, etc. The drawn
polygon may have 3 sides, but it could
have more than three sides.
12. VALID
13. ABC is not a scalene triangle
14. B
Competency 1
1a. 3& 4
1b.
6 & 7, 7 & 8, 8 & 9,
9 & 6, 1& 2
2. 9 & 7 or 6& 8
3. x = 14
4. x = 21
5. x = 30, y = 150
Competency 4
Competency 2
6a. If two angles are NOT
supplementary, then they are NOT a
linear pair.
6b. TRUE
7a. If the sum of two angle measures is
180 , then the two angles are
supplementary.
7b. TRUE
8a. If the measure of an angle NOT
greater than 90 , then the angle is NOT
an obtuse angle.
8b.TRUE
9. FALSE
COUNTEREXAMPLES:
Let a = 0, b = -1, 0>1 but 0 is not a
positive number.
Let a = -5, b = -100. -5> -100, but -5 is
not a positive number.
10. FALSE
COUNTEREXAMPLE:
-1+10=9 (the answer is positive, BUT
both numbers that were added were
NOT both positive)
Created 6/20/05
Test Review
15a. 25, 32
15b. First add 2, then add 3 to the next
term, then add 4…
16. d  9.9
17. A


1
2
18. M  1, 
19. x 
9
8
Competency 5
20. YES (-2,-14) is a solution. See
below
14  3(2)  8
14  6  8
14  14
21. m = 4
1
2
3
x  11
23. y 
2
3
x3
24. y 
4
22. m 
© GUHSD #205
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Edited 6/6/06