Multiple Choice
Identify the choice that best completes the
statement or answers the question.
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1.
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Are the two figures congruent or not congruent?
  A | Not congruent; the corresponding sides are not equal to the corresponding
angles. | B | Congruent; the corresponding sides are congruent and the corresponding angles are
congruent. | C | Congruent; the corresponding sides are equal to the corresponding
angles. | D | Not congruent; the corresponding sides are not
congruent. |
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2.
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Which figures appear to be congruent?  A | 2 and 4 | B | 2 and 5 | C | 1 and 4 | D | 1 and
2 |
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3.
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The two triangle-shaped gardens are congruent. Find the missing side lengths and
angle measures.   A | x = 90°; y = 50°; z = 8.7 ft; u = 5.5 ft; v = 6.7 ft; w =
40° | B | x = 180°;
y = 50°; z = 12.2 ft; u = 6.7 ft; v = 5.5
ft; w = 40° | C | x = 90°;
y = 50°; z = 8.7 ft; u = 6.7 ft; v = 5.5
ft; w = 130° | D | x = 90°;
y = 50°; z = 8.7 ft; u = 6.7 ft; v = 5.5
ft; w = 40° |
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4.
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The two triangle-shaped gardens are congruent. Find the missing side lengths and
angle measures.   A | x = 180°; y = 43°; z = 15.2 yd; u = 7.4 yd; v = 7.8 yd; w =
47° | B | x = 90°;
y = 43°; z = 10.8 yd; u = 7.4 yd; v = 7.8
yd; w = 47° | C | x = 90°;
y = 43°; z = 10.8 yd; u = 7.8 yd; v = 7.4
yd; w = 47° | D | x = 90°;
y = 43°; z = 10.8 yd; u = 7.4 yd; v = 7.8
yd; w = 137° |
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5.
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The two rectangular rooms shown below are congruent. The architect did not
finish the diagrams. Find the missing side lengths and angle measures.   A | c = 25 ft; d = 18 ft; h = 180°;
g = 180° | B | c = 25 ft; d = 18 ft; h =
90°; g = 90° | C | c = 18 ft; d = 25 ft; h =
180°; g = 180° | D | c = 18 ft ; d = 25 ft; h =
90°; g = 90° |
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6.
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ΔMNO ≅
ΔRPQ  a. ∠N ≅ ∠
_____
b. ∠O ≅ ∠ _____
A | ∠Q;
∠P | B | ∠R;
∠Q | C | ∠P;
∠Q | D | ∠P;
∠R |
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7.
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ΔMNO ≅
ΔPQR  a. ∠N ≅ ∠
_____
b. ∠O ≅ ∠ _____
A | ∠Q;
∠P | B | ∠R;
∠Q | C | ∠Q;
∠R | D | ∠P;
∠R |
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