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1. |
Marita always listens to her favorite radio station, an oldies station, when she drives her car. Every morning she listens to her radio on the way to school. On Monday, she turns on her car radio and it is playing country music. Which of the following is a valid conjecture for why her radio is playing different music? |
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A. |
All statements are valid conjectures. |
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B. |
Her favorite station has changed their morning program to include country music. |
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C. |
A country music station bought out her favorite music station over the weekend. |
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D. |
Someone used her car during the weekend and changed the station. |
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Hint |
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2. |
In the figure, points A and B are on circle C and  Write the contra positive of the true conditional.
Conditional 1: If then is a right isosceles triangle. Conditional 2: If then divides the circle into two equal halves. |
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A. |
If then does not divide the circle into two equal halves. |
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B. |
If is not a right isosceles triangle, then  |
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C. |
If is a right isosceles triangle, then  |
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D. |
If does not divide the circle into two equal halves, then  |
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Hint |
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3. |
Which statement shows the Transitive Property of Equality? |
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A. |
If AB = CD, then CD = AB. |
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B. |
If AB + BC = DE + BC, then AB = DE. |
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C. |
If and then  |
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D. |
If AB = CD and AB =EF, then  |
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Hint |
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4. |
Find the value of x so the line that passes through (x, 5) and (12, 2) is perpendicular to the line that passes through (0, 1) and (2, 7). |
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A. |
-3 |
B. |
4 |
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C. |
5 |
D. |
3 |
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Hint |
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5. |
Which postulate or theorem shows that  |
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A. |
AAS Theorem |
B. |
SAS Postulate |
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C. |
SSS Postulate |
D. |
ASA Postulate |
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Hint |
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6. |
Find the value of x in the parallelogram below. |
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A. |
140 |
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B. |
33 |
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C. |
30 |
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D. |
50 |
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Hint |
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7. |
Which statement is false? |
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A. |
Every rhombus is a quadrilateral. |
B. |
Every square is a rhombus. |
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C. |
Every rhombus is a parallelogram. |
D. |
Every rhombus is a square. |
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Hint |
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8. |
If a median of a triangle is also an angle bisector, then the triangle is_______. |
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A. |
scalene |
B. |
right |
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C. |
isosceles |
D. |
equilateral |
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Hint |
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9. |
Refer to circle C. Find the value of x. |
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A. |
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B. |
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C. |
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D. |
13 |
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Hint |
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10. |
Which figure shows a line that is not a line of symmetry? |
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A. |
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B. |
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C. |
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D. |
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Hint |
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11. |
For the proof shown, provide statement 3. |
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A. |
AB = EF |
B. |
AB = BA |
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C. |
CD = EF |
D. |
AB = CD |
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Hint |
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12. |
a > b means that ___________. |
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A. |
a b |
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B. |
a + b = 0 |
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C. |
a + c = b, for some positive number c |
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D. |
a = b + c, for some positive number c |
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Hint |
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13. |
WXYZ is a rectangle with the diagonals drawn. Which assertion about the measures of the segments in the figure is not necessarily true? |
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A. |
WV = VX |
B. |
2ZV = WY |
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C. |
WX > WZ |
D. |
WY > ZY |
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Hint |
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14. |
The measures of two base angles on the same side of a trapezoid are 10x + 7 and 6x - 3, respectively. What is the measure of the larger base angle? |
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A. |
63 |
B. |
117 |
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C. |
83 |
D. |
97 |
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Hint |
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15. |
If the smaller details of a shape have the same geometric characteristics as the original, larger form, then the shape is _______. |
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A. |
self-similar |
B. |
strictly self-similar |
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C. |
a fractal |
D. |
Pascal's Triangle |
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Hint |
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16. |
Find the value of z. |
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A. |
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B. |
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C. |
5 |
D. |
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Hint |
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17. |
Which letter shown has no lines of symmetry? |
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A. |
D |
B. |
Z |
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C. |
W |
D. |
C |
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Hint |
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18. |
If two lines intersect so that the angle of rotation equals 98°, what is the angle formed by the intersecting lines? |
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A. |
196° |
B. |
82° |
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C. |
49° |
D. |
98° |
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Hint |
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19. |
State the assumption that could be used to start an indirect proof of the statement m 1 + m 2 = 180. |
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A. |
m 1 and m 2 are supplementary. |
B. |
m 1 + m 2 = 90 |
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C. |
m 1 and m 2 are complementary. |
D. |
m 1 + m 2 180 |
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Hint |
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20. |
The type of reasoning that uses a number of examples to arrive at a conclusion is __________ . |
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A. |
contradictory reasoning |
B. |
exemplary reasoning |
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C. |
deductive reasoning |
D. |
inductive reasoning |
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Hint |
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