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1. |
Determine the contrapositive of the following if-then statement.
If three points are noncollinear, then they form a triangle. |
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A. |
If three points do not form a triangle, then they are not noncollinear. |
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B. |
If three points form a triangle, then they are noncollinear. |
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C. |
If three points are not noncollinear, then they do not form a triangle. |
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D. |
If three points do not form a triangle, then they are noncollinear. |
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Hint |
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2. |
Triangle KMS is equilateral. Find KM if KM = x + 6, KS = 2x – 3, and MS = 4x – 21. |
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A. |
15 |
B. |
21 |
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C. |
4 |
D. |
9 |
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Hint |
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3. |
The quadrilateral below is a parallelogram because_______. |
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A. |
both pairs of opposite angles are congruent |
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B. |
it has four sides |
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C. |
the diagonals bisect each other |
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D. |
both pairs of opposite sides are congruent |
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Hint |
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4. |
In a triangle, the ratio of the measures of the sides is 2:3:4 and the perimeter is 72. Find the measures of the sides of the triangle. |
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A. |
14, 21, 28 |
B. |
16, 24, 32 |
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C. |
18, 27, 27 |
D. |
20, 22, 30 |
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Hint |
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5. |
Based on the figure below, which statement is false? |
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A. |
 ||  |
B. |
 ABC ADE |
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C. |
ABC ADE |
D. |
D is the midpoint of  . |
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Hint |
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6. |
If a median of a triangle is also an angle bisector, then the triangle is_______. |
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A. |
equilateral |
B. |
right |
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C. |
scalene |
D. |
isosceles |
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Hint |
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7. |
Find the radius of a circle with circumference  . |
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A. |
4 |
B. |
8 |
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C. |
16 |
D. |
 |
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Hint |
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8. |
Which figure has only one line of symmetry? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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9. |
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. |
10 and 35 |
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C. |
5 and 35 |
D. |
15 and 20 |
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Hint |
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10. |
Which statement can be proven using the SSS Inequality Theorem? |
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A. |
m BAC < mPDA |
B. |
CD = AP |
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C. |
mB > mBCD |
D. |
mPDA < mBAC |
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Hint |
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11. |
In the figure,  . If FH = 12, HJ = 3, and the perimeter of HIJ = 13, then what is the perimeter of FGH? |
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A. |
52 |
B. |
48 |
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C. |
25 |
D. |
36 |
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Hint |
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12. |
Raul lives in Middleburg. He wants to find the distance between Easton and Westerville. He knows that Easton is 5.7 miles from Middleburg, that Westerville is 9.3 miles from Middleburg, and that the angle formed by the two lines (from Middleburg to Westerville and from Middleburg to Easton) is 69.4°. To the nearest tenth of a mile, what answer should Raul come up with? |
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A. |
12.5 miles |
B. |
9.6 miles |
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C. |
9 miles |
D. |
4.1 miles |
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Hint |
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13. |
Find mNAL. |
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A. |
150 |
B. |
96 |
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C. |
78 |
D. |
21 |
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Hint |
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14. |
This game board is made up of concentric circles. The center circle has a diameter of 4 inches. Each successive ring has a radius 2 inches greater than the ring before. Find the probability of scoring 80 points. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
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Hint |
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15. |
Which letter shown has only one line of symmetry? |
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A. |
A |
B. |
O |
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C. |
X |
D. |
P |
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Hint |
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16. |
Find the precision for a measurement of 24 meters. |
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A. |
1 m |
B. |
10 m |
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C. |
0.5 m |
D. |
5 m |
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Hint |
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17. |
Given that R is between S and T, SR =  , and RT =  , find ST. |
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A. |
 |
B. |
 |
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C. |
2 |
D. |
 |
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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. |
14.6 m |
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C. |
6 m |
D. |
525.6 m |
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Hint |
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19. |
Write a truth table for p q. |
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A. |
 |
B. |
 |
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C. |
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D. |
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Hint |
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20. |
Triangle ABC has vertices A(2, 5), B(5, 2), and C(2, -1). Classify ABC. |
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A. |
acute |
B. |
isosceles |
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C. |
scalene |
D. |
equilateral |
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Hint |
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