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1. |
Which statement follows from statements (1) and (2) by the Law of Syllogism? (1) If an object is a square, then it is a rhombus.
(2) If an object is a rhombus, then it is an equilateral. |
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A. |
If an object is a square, then it is an equilateral. |
B. |
An object is a square. |
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C. |
If an object is an equilateral, then it is a square. |
D. |
An object is a rhombus. |
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Hint |
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2. |
''If two numbers are even, then their sum is even'' is a true conditional, and 8 and 24 are even numbers. Use the Law of Detachment to reach a logical conclusion. |
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A. |
The sum of 8 and 24 must be even. |
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B. |
The sum of 8 and 24 must be odd. |
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C. |
If the numbers 8 and 24 are even, then their sum is 32. |
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D. |
If the numbers 8 and 24 are odd, then their sum is 32. |
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Hint |
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3. |
For the proof shown, provide statement 2. |
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A. |
AC = DE, AB = DF |
B. |
AB = DE |
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C. |
AB = BC, DE = EF |
D. |
AC = DF, BC = EF |
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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. |
-3 |
D. |
5 |
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Hint |
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5. |
Which figure shows  with m M = 90; mP > mN, and MP < MN? |
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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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6. |
Which triangle is isosceles? |
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A. |
 with vertices F(-1,-5), G(-3,4), and H(5,2) |
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B. |
 with vertices A(3,0), B(0,6), and C(3,6) |
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C. |
 with vertices R(3,5), S(1,-8),and T(-1,7) |
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D. |
with vertices M(4,5), N(4,2), and P(-5,2) |
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Hint |
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7. |
Find  |
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A. |
50 |
B. |
56 |
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C. |
68 |
D. |
62 |
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Hint |
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8. |
In  is 10 more than 3 times a number,
 is 8 less than 5 times the same number. Find  |
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A. |
48 |
B. |
106 |
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C. |
37 |
D. |
116 |
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Hint |
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9. |
The polygon shown is |
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A. |
an octagon |
B. |
a hexagon |
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C. |
regular |
D. |
concave |
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Hint |
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10. |
Which is an equation of the line in the graph shown? |
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A. |
y = -2x - 3 |
B. |
y = -2x + 3 |
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C. |
y = 2x + 3 |
D. |
y = 2x - 3 |
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Hint |
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11. |
is equilateral. What are the coordinates of A? |
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A. |
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B. |
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C. |
(-2b, 0) |
D. |
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Hint |
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12. |
The intersection of two planes could be a ______. |
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A. |
line |
B. |
point |
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C. |
segment |
D. |
plane |
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Hint |
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13. |
Which law is similar to the Transitive Property? |
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A. |
Law of Syllogism |
B. |
Law of Detachment |
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C. |
Law of Conditional |
D. |
Law of Deductive Reasoning |
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Hint |
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14. |
Which statement justifies the conclusion that if b and c are both perpendicular to a, then they are parallel? |
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A. |
If two lines are perpendicular to the same line, then they are parallel. |
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B. |
If two lines are parallel to the same line, then they are parallel. |
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C. |
If two lines are perpendicular to the same line, then they are perpendicular. |
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D. |
If two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel. |
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Hint |
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15. |
 CPR has vertices C(15, 1), P(9, 11), and R(2, 1). Determine the coordinates of point A on  so that  is a median of CPR. |
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A. |
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B. |
(12, 6) |
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C. |
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D. |
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Hint |
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16. |
Graph the line with a slope of  and a y-intercept of –3. |
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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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17. |
If  and  then  is _____? |
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A. |
straight. |
B. |
acute. |
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C. |
right. |
D. |
obtuse. |
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Hint |
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18. |
The perimeter of regular hexagon UVWXYZ is 87.6 meters. Determine the length of each side. |
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A. |
9.4 m |
B. |
525.6 m |
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C. |
6 m |
D. |
14.6 m |
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Hint |
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19. |
A __________ is a compound statement formed by joining two or more statements with the word or. |
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A. |
truth value |
B. |
negation |
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C. |
disjunction |
D. |
conjunction |
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Hint |
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20. |
Which of the following statements is not a postulate? |
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A. |
Points that lie of the same plane are said to be coplanar. |
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B. |
Through any two points, there is exactly one line. |
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C. |
A plane contains at least three points not on the same line. |
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D. |
If two lines intersect, then their intersection is exactly one point. |
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Hint |
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