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1. |
Which of the following best describes  |
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right |
B. |
obtuse |
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C. |
straight |
D. |
acute |
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Hint |
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2. |
For the proof shown, provide the reason for part c. |
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A. |
Addition Property of Equality |
B. |
Multiplication Property of Equality |
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C. |
Subtraction Property of Equality |
D. |
Division Property of Equality |
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Hint |
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3. |
Find the distance from G(-3, -1) to the line whose equation is y = 4. |
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A. |
3 |
B. |
4 |
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C. |
2 |
D. |
5 |
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4. |
Which figure is an isosceles triangle? |
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A. |
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B. |
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C. |
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D. |
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5. |
If is parallel to , what is  |
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A. |
126 |
B. |
109 |
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C. |
71 |
D. |
54 |
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6. |
What is the value of n? |
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A. |
14 |
B. |
9 |
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C. |
24 |
D. |
26 |
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7. |
Most residential roofs are made of roof trusses. A diagram of a roof truss is shown. Notice that it is triangular in shape. Name the corresponding sides. |
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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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8. |
Is it possible to draw a triangle with sides measuring 13, 21, and 39? Explain |
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A. |
No; 13 is less than 21 + 39. |
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B. |
No; 39 is greater than 13 + 21. |
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C. |
Yes; 13 + 21 is less than 39. |
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D. |
Yes; the sides of the triangle are not all the same lengths. |
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9. |
The polygon shown is |
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A. |
regular |
B. |
concave |
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C. |
an octagon |
D. |
a hexagon |
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10. |
What is a valid conclusion to the following hypothesis? If there are two points... |
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A. |
There is one line containing both points. |
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B. |
There are two lines containing both points. |
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C. |
There are an infinite number of lines containing both points. |
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D. |
There are no lines containing both points. |
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11. |
''If you double any number, the result will be an even number.'' is a true conditional. Use the Law of Detachment to reach a logical conclusion. |
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A. |
When you triple a number, the result must be an even number. |
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B. |
The result of doubling 234 is an odd number. |
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C. |
The result of doubling 317 is an even number. |
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D. |
If you double an odd number, the result is another odd number. |
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12. |
Two triangles are necessarily congruent if and only if __________. |
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A. |
their corresponding sides and corresponding angles are congruent, and they are rotated to the same position. |
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B. |
their corresponding angles are congruent. |
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C. |
two of their sides are congruent. |
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D. |
their corresponding sides and corresponding angles are congruent. |
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Hint |
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13. |
Triangle RPG and triangle FAS are congruent. Which segment is necessarily congruent to ? |
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A. |
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B. |
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C. |
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D. |
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14. |
Refer to the figure. If is perpendicular to both and , and , then ABG ________ by _________. |
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A. |
FEG by AAS |
B. |
FEG by ASA |
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C. |
EFG by ASA |
D. |
EFG by AAS |
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15. |
What is the value of each of the two sides opposite the congruent angles in the triangle pictured? |
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A. |
15 |
B. |
39 |
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C. |
27 |
D. |
75 |
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Hint |
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16. |
If 15 and 20 are the lengths of two sides of a triangle, between what two numbers must the measure of the third side fall? |
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A. |
10 and 25 |
B. |
15 and 20 |
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C. |
10 and 35 |
D. |
5 and 35 |
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17. |
Ed has a piece of rope with exactly 10 knots tied to make 9 equal lengths as shown. Using the rope, he wants to use the entire rope to make a triangle so that each vertex of the triangle occurs at a knot. How many different triangles can Ed make? |
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A. |
5 |
B. |
3 |
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C. |
4 |
D. |
2 |
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18. |
Find AC. |
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A. |
3.5 cm |
B. |
5.0 cm |
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C. |
4.9 cm |
D. |
1.5 cm |
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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 and. |
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A. |
truth value |
B. |
disjunction |
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C. |
conjunction |
D. |
negation |
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Hint |
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20. |
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. |
If two points lie in a plane, then the entire line containing those points lies in that plane. |
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B. |
If two planes intersect, then their intersection is a line. |
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C. |
Through any two points, there is exactly one line. |
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D. |
A plane contains at least three points not on the same line. |
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Hint |
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