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1.
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A gardener rested his hoe against a shed.
The hoe made a
49° angle with the ground as shown in the diagram
below.
Which represets the supplement to the 49°
angle? |  | | |
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2.
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Triangle ABC is a right triangle with the right angle at
C.
Which are possible measures for angle A and angle
B? |  | | |
A) | 38° and 52° | B) | 28°
and 52° | C) | 52° and 62° | D) | 52°
and 128° |
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3.
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What are the values of x, and
y?
A) | x = 125°, y =
99° | C) | x = 135°, y =
99° | B) | x = 125°, y =
109° | D) | x = 135°, y =
109° |
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4.
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The distance between the points (–2,
–1) and (7, 4) is:
A) | 106 | B) | 14 | C) |  | D) |  |
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5.
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Given: B, C, and D
are collinear;
m ACD = 82°
What value of x will ensure that A, C,
and E are also collinear? |  | | |
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6.
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In the figure, (which may not be to
scale)the measure of
ÐCAD is three times the measure of ÐCAB.
What is the measure of ÐCAD? |  | | |
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7.
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What are the apparent coordinatesof the midpoint of diagonal
 ?
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A) | (1, 1.5) | B) | (1.5,
1) | C) | (1.5, –1) | D) | (1,
1) |
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8.
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The coordinates of the midpoint of 
are (5, 5), and the coordinates of A are (2, 7). What are the coordinates of
B?
A) | (8, 3) | B) | (–1, 9) | C) | (3.5,
6) | D) | (8, 2) |
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9.
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What is the slope of the line through (–5, 3)
and (7, –3) ?
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10.
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Rectangle ABCD is placed on a grid as
shown.
Which is closest to the
length of diagonal  ? |  | | |
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11.
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Which conclusion logically follows the true
statements?
If negotiations fail, the soccer
strike will not end.
If the soccer strike does not end,
the World Cup will not be played.
A) | If negotiations do not fail, the soccer strike will not
end. | B) | If the soccer strike ends, the World Cup will be
played. | C) | If negotiations fail, the World Cup will not be
played. | D) | If negotiations fail, the World Cup will be
played. |
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12.
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In the Venn diagram, P represents the set of all
parallelograms,
R represents the set of all rectangles,
and S represents the
set of all squares.
Based on the diagram, which is a valid conclusion? |  | | |
A) | All squares are rectangles. | B) | No squares are rectangles. | C) | Some squares are not rectangles. | D) | All rectangles are squares. |
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13.
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Based strictly on this diagram, | which is a valid
conclusion? |  | | |
A) | No dog owners also own cats. | B) | No bird owners also own dogs. | C) | No cat owners also own birds. | D) | No pet owner owns more than one pet. |
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14.
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Consider the following statements.
p:
The sum of two angles is 90°.
q: The two angles are complements.
Which of the
following is a symbolic representation of the statement:
“If sum of two angles is 90°, then the two angles are not
complements”?
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15.
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Which is the converse of the statement
below?
If you do your homework, then you will be prepared for the test.
A) | If you are not prepared for the test, then you did not
do your homework. | B) | If you do your
homework, then you will be prepared for the test. | C) | If you did not do your homework, then you will not be prepared for the
test. | D) | If you are prepared for the test, then you did your
homework. |
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16.
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Let a
represent: Angle E is right.
Let s
represent: Angle M is right.
Which is a symbolic representation of the following
argument?
Angle E is right if and only if Angle M is
right.
Angle E is right or Angle M is right.
Therefore, Angle E is right and
Angle M is right.
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17.
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What is the converse of the following
statement?
If the measure of an angle is 90º, then it is a right
angle.
A) | If it is a right angle, then the measure of an angle is
90º. | B) | If the measure of an angle is not 90º, then it is a
right angle. | C) | If it is not a
right angle, then the measure of an angle is not 90º. | D) | If the measure of an angle is not 90º, then it is not a right
angle. |
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18.
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Line z is parallel to line f
when the value of x
is:
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19.
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Using the information on the diagram, | which is true? |  | | |
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20.
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Lines k contains the points
shown.
Which of the following points must lie on line l
in order for lines k and l to be perpendicular through (-5, 0)? |  | | |
A) | (-4, 2) | B) | (-3,
4) | C) | (-1, 3) | D) | (0,
4) |
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21.
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What value for x will show that lines n and u
are parallel?
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22.
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Line m contains points (1, -3) and (2, 2).
Which of the following pairs of points define a line perpendicular to line m?
A) | (0, 0) and (1, 5) | C) | (1, 1)
and (6, 2) | B) | (0, 0) and (-5,
1) | D) | (-4, 0) and (-5, -5) |
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23.
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Line f intersects lines b, h,
j, and w, forming angles with measures as indicated on the
drawing.
Which two lines are parallel? |  | | |
A) | h and w | B) | b and h | C) | b
and j | D) | j and
w |
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24.
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Line c is parallel to line s
when the value of x
is:
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25.
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Which is most likely the | slope of the line
graphed? |  | | |
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26.
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What is the apparent slope of a line perpendicular to  ? |  | | |
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27.
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Which statement would not prove | line e parallel to line
f ? |  | | |
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28.
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Lines d and e are cut by transversal
f.
Which statement would prove d //
e? |  | | |
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29.
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Given:Angle ADC congruent to angle
BCD and
Angle ACD congruent to angle BDC
Which could be used to prove  ? |  | | |
A) | (AAS) If 2 angles and a side not between them in
one triangle are congruent to 2 angles and a side not between them in another triangle, then the
triangles are congruent | B) | (ASA) If 2
angles and the side between them in one triangle are congruent to 2 angles and the side between them
in another triangle, then the triangles are congruent | C) | (SSS) If 3 sides of one triangle are congruent to 3 sides of another
triangle, then the triangles are congruent | D) | (SAS) If 2
sides and the angle between them in one triangle are congruent to 2 sides and the angle between them
in another triangle, then the triangles are congruent |
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30.
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Given:Segment BD bisects AE at
C and
Angle BAC congruent to angle DEC
Which could be used to prove  ? |  | | |
A) | (ASA) If 2 angles and the side between them in
one triangle are congruent to 2 angles and the side between them in another triangle, then the
triangles are congruent | B) | (AAS) If 2
angles and a side not between them in one triangle are congruent to 2 angles and a side not between
them in another triangle, then the triangles are congruent | C) | (SSS) If 3 sides of one triangle are congruent to 3 sides of another
triangle, then the triangles are congruent. | D) | (SAS) If 2
sides and the angle between them in one triangle are congruent to 2 sides and the angle between them
in another triangle, then the triangles are congruent |
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31.
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A) | (1, 1) | B) | (1,
2) | C) | (2, 2) | D) | (2,
1) |
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32.
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Given:
E is midpoint of AC
Angle ADE
congruent to angle CBE
Based on the information given, |  | | |
which triangle congruence theorem could be used to
prove  ?
A) | Side-Angle-Side (SAS) | C) | Angle-Side-Angle (ASA) | B) | Angle-Angle-Side
(AAS) | D) | Side-Side-Side
(SSS) |
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33.
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If  , which statement is always true?
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34.
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The figure has angle measures as shown.
What is the measure of  ? |  | | |
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35.
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Given: ABCD is a parallelogram.Prove:  |  | Statements | Reasons | | Reflexive
(shared side) | | Opposite sides of a parallelogram
are congruent | | Opposite sides of a parallelogram are
congruent | | |
Therefore,  by which postulate/theorem?
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36.
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What value of x makes  ?
A) | x = 7.2 | B) | x = 9.3 | C) | x = 5.1 | D) | x = 4.2 |
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37.
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Given the measures shown in the diagram, which two
triangles are congruent?
A) | R and J | B) | R and
K | C) | S and J | D) | S and
K |
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38.
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From shortest to longest, the sides of  are
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39.
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On a map, Manatu Springs, Pueblo, and Salem form a
triangle. Pueblo is 65 miles from Manatu Springs and Salem is 89 miles from Manatu Springs. Which is
a possible distance between Pueblo and Salem?
A) | 23 miles | B) | 68
miles | C) | 165 miles | D) | 12
miles |
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40.
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In triangle QRS, QS = 16, QR =
17, and RS = 14. Which is true?
A) | The measure of 
is the greatest of the three angles. | B) | The measure of
 is the greatest of the three
angles. | C) | The measure of 
is the least of the three angles. | D) | The measure of
 is the least of the three
angles. |
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41.
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From largest to smallestthe angles of  are:
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42.
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Which of the following could not be the
lengths of the sides of a triangle?
A) | 44 km, 45 km, 46 km | C) | 48 yd, 59 yd, 55 yd | B) | 50 mi, 48 mi, 49
mi | D) | 20 m, 43 m, 63 m |
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43.
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Which pipe lengths could be joined to form a
triangle?
A) | 12 ft, 6 ft, 3 ft | B) | 5 ft,
4 ft, 3 ft | C) | 12 ft, 4 ft, 7 ft | D) | 26 ft,
8 ft, 16 ft |
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44.
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Which of the following quadrilaterals could have
diagonals that are congruent but do not bisect each other?
A) | A trapezoid | B) | A
square | C) | A rhombus | D) | A
parallelogram |
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45.
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Each exterior angle of a certain regular polygon
measures 36°. How many sides does the polygon
have?
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46.
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Figure ABCDEF is a regular hexagon.
What is the
measure of  ? |  | | |
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47.
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Which of the following is not true about a
parallelogram?
A) | Any two consecutive angles are
complementary | B) | Any two
consecutive angles are supplementary | C) | The diagonals
bisect each other. | D) | Any two opposite
sides are parallel |
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48.
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The polygon shown is convex.
The sum of its interior angle measures is: |  | | |
A) | 1260° | B) | 900° | C) | 720° | D) | 1080° |
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49.
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If each interior angle of a regular polygon
measures 135°, how many sides does the polygon
have?
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50.
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