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1. |
Triangle RST is isosceles with  as the vertex angle. If ST = 3x - 11, SR = x + 3, and RT = x - 2, find RT. |
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A. |
9 |
B. |
14 |
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C. |
5 |
D. |
7 |
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Hint |
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2. |
Name the remote interior angles of  |
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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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3. |
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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4. |
In the figure,  intersects  at H. Which additional fact is needed to prove  by ASA? |
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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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5. |
In   is the _____. |
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A. |
altitude |
B. |
median |
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C. |
perpendicular bisector |
D. |
all of these |
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Hint |
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6. |
The segment that bisects an angle of the triangle and has one endpoint at a vertex of the triangle and the other endpoint at another point on the triangle is called the _________. |
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A. |
angle bisector |
B. |
perpendicular bisector |
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C. |
segment bisector |
D. |
median |
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Hint |
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7. |
Is it possible to draw a triangle with sides measuring 13, 21, and 39? Explain |
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A. |
Yes; the sides of the triangle are not all the same lengths. |
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B. |
Yes; 13 + 21 is less than 39. |
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C. |
No; 39 is greater than 13 + 21. |
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D. |
No; 13 is less than 21 + 39. |
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Hint |
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8. |
Food Some cafeteria trays are shaped like isosceles trapezoids so they will fit around the tables. If the measures of one pair of base angles of a tray are 120, what are the measures of the other pair of base angles? |
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A. |
60 |
B. |
90 |
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C. |
120 |
D. |
240 |
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Hint |
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9. |
Find the value of x. |
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A. |
46.5 |
B. |
24 |
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C. |
12.75 |
D. |
35.25 |
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Hint |
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10. |
An exterior angle of a regular polygon has a measure of 30. Find the sum of the measures of the interior angles. |
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A. |
2520 |
B. |
1800 |
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C. |
2160 |
D. |
2880 |
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Hint |
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11. |
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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Hint |
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12. |
Which postulate can be used to prove the triangles congruent? |
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A. |
not possible |
B. |
ASA Postulate |
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C. |
SSS Postulate |
D. |
SAS Postulate |
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Hint |
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13. |
Name the property that justifies if a < b, then a + c < b + c. |
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A. |
Subtraction Property |
B. |
Transitive Property |
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C. |
Addition Property |
D. |
Comparison Property |
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Hint |
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14. |
Is it possible to draw a triangle with sides measuring 32, 96, and 118? Explain. |
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A. |
No; 32 + 96 is less than 118. |
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B. |
Yes; the sum of the measures of any two sides is greater than the other side measure. |
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C. |
No; 32 is less than 96 + 118. |
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D. |
Yes; 96 is between 32 and 118. |
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Hint |
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15. |
In parallelogram ABCD,  B ________. |
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A. |
A and C |
B. |
C |
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C. |
D |
D. |
A |
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Hint |
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16. |
Given that  is the median of trapezoid ZYXW, find the value of x. |
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A. |
4 |
B. |
21 |
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C. |
27 |
D. |
15 |
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Hint |
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17. |
Complete the section of the indirect proof.
Assume mA = mB and mB = mC.
So, by ____________, mA = mC. |
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A. |
transitive property |
B. |
angle addition property |
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C. |
reflexive property |
D. |
CPCTC |
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Hint |
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18. |
In parallelogram ABCD find the value of x and y. |
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A. |
36°, 36° |
B. |
72°, 72° |
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C. |
108°, 72° |
D. |
108°, 108° |
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Hint |
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