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1. |
Refer to the figure shown. Name the vertices of the equilateral triangle. |
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A. |
W, X, Y |
B. |
X, Y, Z |
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C. |
U, Z, W |
D. |
U, V, Z |
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Hint |
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2. |
Which triangle is isosceles? |
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A. |
 with vertices A(3,0), B(0,6), and C(3,6) |
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B. |
 with vertices M(4,5), N(4,2), and P(-5,2) |
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C. |
 with vertices F(-1,-5), G(-3,4), and H(5,2) |
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D. |
 with vertices R(3,5), S(1,-8),and T(-1,7) |
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Hint |
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3. |
Find the value of x. |
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A. |
145 |
B. |
45 |
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C. |
135 |
D. |
125 |
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Hint |
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4. |
If  is parallel to  , what is  |
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A. |
109 |
B. |
71 |
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C. |
126 |
D. |
54 |
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Hint |
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5. |
Refer to the design shown. How many of the triangles in the design appear to be congruent to triangle A? |
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A. |
8 |
B. |
10 |
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C. |
12 |
D. |
6 |
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Hint |
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6. |
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. |
  |
D. |
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Hint |
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7. |
Which pair of triangles is congruent by the SSS Postulate? |
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A. |
 with vertices A(3, 3), B(3, 7), and C(-1, 7)
and  with vertices D(0, 5), E(4, 5), and F(4, -2) |
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B. |
with vertices A(0, 2), B(-4, 2), and C(-4, -3)
and with vertices D(1, 1), E(1, 5), and F(6, 5) |
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C. |
with vertices A(0, 7), B(0, 0), and C(-3, 0)
and with vertices D(5, 5), E(-2, 5), and F(-2, -2) |
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D. |
with vertices A(-2, -4), B(-6, 3), and
C(-2, 3) and with vertices D(3, 1), E(3, 6),
and F(-2, 6) |
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Hint |
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8. |
Refer to the figure. If  and 
then  _____ by _____. |
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A. |
 by ASA |
B. |
 by ASA |
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C. |
 by ASA |
D. |
 by ASA |
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Hint |
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9. |
In isosceles with base  and  Find the measure of  |
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A. |
96 |
B. |
52 |
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C. |
34 |
D. |
42 |
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Hint |
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10. |
Two triangles are necessarily congruent if and only if __________. |
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A. |
two of their sides are congruent. |
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B. |
their corresponding sides and corresponding angles are congruent. |
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C. |
their corresponding angles are congruent. |
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D. |
their corresponding sides and corresponding angles are congruent, and they are rotated to the same position. |
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Hint |
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11. |
Which postulate can be used to prove the triangles congruent? |
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A. |
ASA Postulate |
B. |
SSS Postulate |
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C. |
AAA Postulate |
D. |
SAS Postulate |
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Hint |
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12. |
Find the value of x. |
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A. |
26 |
B. |
20 |
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C. |
13 |
D. |
10 |
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Hint |
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13. |
Find the coordinates of O. |
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A. |
(0, 3Ka) |
B. |
(0, 3 a) |
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C. |
(3a, 0) |
D. |
(a, 0) |
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Hint |
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14. |
Which of the following is not a guideline for placing figures on the coordinate plane? |
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A. |
Keep the figure in the first quadrant. |
B. |
Use the point (1, 1) as a vertex or center. |
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C. |
Place at least one side of a polygon on an axis. |
D. |
Use coordinates that make computation as simple as possible. |
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Hint |
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