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1. |
Looking at several specific situations to arrive at an educated guess is called __________. |
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A. |
deductive reasoning |
B. |
a conjecture |
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C. |
guessing |
D. |
inductive reasoning |
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2. |
In the figure, ABCD is a square. Which of the following is a valid conjecture about points A, B, C, and D? |
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A. |
AB + CD = 12 |
B. |
None of the statements are valid conjectures. |
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C. |
AB = CD |
D. |
AB = BD |
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3. |
If-then statements are also called ______________. |
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A. |
reasons |
B. |
hypotheses |
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C. |
conditionals |
D. |
conclusions |
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4. |
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 is a right isosceles triangle, then  |
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B. |
If is not a right isosceles triangle, then  |
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C. |
If  then does not divide the circle into two equal halves. |
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D. |
If does not divide the circle into two equal halves, then  |
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5. |
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 an equilateral, then it is a square. |
B. |
An object is a rhombus. |
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C. |
An object is a square. |
D. |
If an object is a square, then it is an equilateral. |
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6. |
''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. |
If the numbers 8 and 24 are odd, then their sum is 32. |
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B. |
The sum of 8 and 24 must be even. |
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C. |
The sum of 8 and 24 must be odd. |
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D. |
If the numbers 8 and 24 are even, then their sum is 32. |
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7. |
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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8. |
For the proof shown, provide statement 5. |
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A. |
AB = DE |
B. |
AB = EF |
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C. |
AC = DF |
D. |
BC = EF |
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9. |
All right angles are ____________. |
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A. |
transitive |
B. |
congruent |
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C. |
180° |
D. |
complementary |
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10. |
If  and  form a linear pair and  find  |
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A. |
96 |
B. |
106 |
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C. |
76 |
D. |
86 |
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11. |
Name the property that justifies the statement. ''If 2x = 12, then x = 6''. |
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A. |
Multiplication Property (=) |
B. |
Symmetric Property |
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C. |
Division Property (=) |
D. |
Transitive Property (=) |
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12. |
Write a truth table for p q. |
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A. |
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B. |
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C. |
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D. |
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13. |
The freshman class of 63 students conducted a survey to compare how many students took Spanish as opposed to French as a foreign language. The results are shown in the Venn diagram. How many students studied both Spanish and French? |
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A. |
55 |
B. |
1 |
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C. |
15 |
D. |
40 |
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14. |
In the figure, points A, B, and C lie in plane Z. Which of the following postulates can be used to show that A and B are collinear? |
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A. |
Through any three points not on the same line, there is exactly one plane. |
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B. |
If two lines intersect, then their intersection is exactly one point. |
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C. |
Through any two points, there is exactly one line. |
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D. |
If two planes intersect, then their intersection is a line. |
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15. |
If  and  lie in plane P. Which of the following postulates can be used to show that  lies in plane P? |
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A. |
A plane contains at least three points not on the same line. |
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B. |
Through any two points, there is exactly one line. |
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C. |
If two points lie in a plane, then the entire line containing those points lies in that plane. |
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D. |
If two planes intersect, then their intersection is a line. |
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16. |
Which postulate states that if B is between A and C, then AB + BC = AC? |
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A. |
Ruler Postulate |
B. |
Addition Property of Congruence |
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C. |
Segment Addition Postulate |
D. |
Whole Segment Postulate |
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Hint |
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