Download Topic 2 TEKS Cumulative Practice

Topic 2 TEKS Cumulative Practice
Multiple Choice
Read each question. Then write the letter of the correct
answer on your paper.
4.Which counterexample shows that the following
conjecture is false?
Every perfect square number has exactly three factors.
F.
The factors of 2 are 1, 2.
1.What is the second step in constructing ∠S, an angle
congruent to ∠A?
G.
The factors of 4 are 1, 2, 4.
H.
The factors of 8 are 1, 2, 4, 8.
J.
The factors of 16 are 1, 2, 4, 8, 16.
A
5.How many rays are in the next two terms in the
sequence?
A.
C.
S
T
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S
R
A.
16 and 33 raysC.
17 and 34 rays
B.
17 and 33 raysD.
18 and 34 rays
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B.
D.
B
6.Which of the statements could be a conclusion based
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on the following information?
If a polygon is a pentagon, then it has one more side
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A
R
S
than a quadrilateral. If a polygon has one more side
C
than a quadrilateral, then it has two more sides than
a triangle.
2.What is the converse of the following statement?
If a whole number has 0 as its last digit, then the
F.
If a polygon is a pentagon, then it has many sides.
number
is evenly divisible by 10.
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hsm11gmse_02cu_t00565G.
If a polygon has two more sides than a
F.
If a number is evenly divisible by 10, then it is a
quadrilateral, then it is a hexagon.
whole number.
H.
If a polygon has more sides than a triangle, then it
G.
If a whole number is divisible by 10, then it is an
is a pentagon.
even number.
J.
If a polygon is a pentagon, then it has two more
H.
If a whole number is evenly divisible by 10, then it
sides than a triangle.
has 0 as its last digit.
7.Which pair of angles must be congruent?
J.
If a whole number has 0 as its last digit, then it must
A.
supplementary angles
be evenly divisible by 10.
3.The sum of the measures of the complement and the
supplement of ∠Y is 114. What is m∠Y ?
A.
12C.
78
B.
complementary angles
C.
adjacent angles
D.
vertical angles
B.
66D.
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8.Which of the following best defines a postulate?
13. Which is an undefined term?
F.
a statement accepted without proof
A.
rayC.
line
G.
a conclusion reached using inductive reasoning
B.
segmentD.
intersection
H.
an example that proves a conjecture false
J.
a statement that you prove true
9.Which type of reasoning is based on patterns you observe?
A.
deductive reasoning
B.
inductive reasoning
C.
detachment and syllogism
D.
conclusion and hypothesis
10. Which property says that if a = b, then b = a?
F.
Reflexive Property
14. Write the following statement as a true biconditional
if possible. Complementary angles are two angles
with measures that have a sum of 90.
F.
Two angles are complementary if and only if the
measures of the angles have a sum of 90.
G.
Two angles with measures that have a sum of 90
are complementary angles.
H.
Two angles with measures that do not have a sum
of 90 are not complementary angles.
J.
not reversible
15. What is the value of x?
G.
Symmetric Property
A.
120C.
30
H.
Transitive Property
(x + 90)° 4x°
B.
60D.
20
J.
Substitution Property
11. Which of the following is not a postulate?
A.
Through any three noncollinear points there is
exactly one plane.
B.
If two distinct lines intersect, then they intersect in
exactly one point.
F.
A figure is a hexagon if and only if it is a six-sided
polygon.
C.
Vertical angles are congruent.
G.
A figure is a polygon if and only if it is a six-sided
hexagon.
D.
Through any two points there is exactly one line.
12. When constructing a perpendicular bisector, what is the
final step of the construction, after you’ve drawn two
arcs, as shown here?
X
A
B
Y
F.
Draw a line through points A and X.
G.
Draw a line through points A and B.
H.
Draw a line through points X and B.
J.
Draw a line through points X and Y.
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16. Which is the biconditional of the given statement?
A hexagon is a six-sided polygon.
Topic 2 TEKS Cumulative Practice
H.
A six-sided polygon is a hexagon.
J.
A hexagon is a polygon if and only if it is a six-sided
figure.
17. Given the statements below, what conclusion can be
made using the Law of Detachment?
If a student wants to go to college, then the student
must study hard.
Rashid wants to go to Rice University.
A.
Rashid will go to Rice University.
B.
Rashid will not have to study hard.
C.
College students study hard.
D.
Rashid must study hard.
18. What are two pairs of congruent angles in this figure?
11111 * 11111 = 1
11111 * 11111 = 121
11111 * 11111 = 12321
11111 * 11111 = 1234321
11111 * 11111 = ■
F
E
I
G
H
F.
∠EIF ≅ ∠FIG and ∠FIG ≅ ∠GIH
G.
∠EIF ≅ ∠GIH and ∠EIG ≅ ∠FIH
H.
∠HIG ≅ ∠EIF and ∠FIG ≅ ∠GIH
J.
∠HIG ≅ ∠EIF and ∠FIH ≅ ∠GIH
Gridded Response
19. What is the next number in the pattern?
Constructed Response
24. On a number line, P is at -4 and R is at 8. What is
the coordinate of the point Q, which is 34 the way from
R to P? Show your work.
25. Write the converse, inverse, and contrapositive
of the following statement. Determine the truth
value of each.
If you live in Oregon, then you live in the United
States.
1, -4, 9, -16, c
20. m∠BZD = 107
m∠FZE = 2x + 5
m∠CZD = x
What is the measure of ∠CZD ?
26. Determine the truth value of the conjecture below. If
false, provide a counterexample.
A perpendicular bisector of a line segment forms
three pairs of vertical angles.
B
27. The sequence below lists the first eight powers of 7.
71, 72, 73, 74, 75, 76, 77, 78, . . .
C
A
D
Z
F
E
a.Make a table that lists the digit in the ones place
for each of the first eight powers of 7. For example,
74 = 2401. The digit 1 is in the ones place.
b.What digit is in the ones place of 734 ? Explain
your reasoning.
21. The measure of an angle is three more than twice its
supplement. What is the measure of the angle?
22. What is the value of x?
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3x 5
23. Continue the pattern.
(2x 70)
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28. Write a proof.
Given: ∠1 and ∠2 are
supplementary.
Prove: ∠1 and ∠2 are
right angles.
1
2
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