Q. If triangle XYZ is congruent to triangle ABC, which of the following is true?
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A.
XY = AB
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B.
XZ = AC
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C.
YZ = BC
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D.
All of the above
Solution
If two triangles are congruent, all corresponding sides and angles are equal, hence all statements are true.
Correct Answer:
D
— All of the above
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Q. If triangle XYZ is congruent to triangle PQR, which of the following is true?
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A.
XY = PQ
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B.
XZ = PR
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C.
YZ = QR
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D.
All of the above
Solution
All corresponding sides and angles of congruent triangles are equal, so all statements are true.
Correct Answer:
D
— All of the above
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Q. In coordinate geometry, what is the midpoint of the segment connecting points (2, 3) and (4, 7)?
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A.
(3, 5)
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B.
(2, 5)
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C.
(4, 3)
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D.
(5, 7)
Solution
The midpoint M of a segment with endpoints (x1, y1) and (x2, y2) is given by M = ((x1 + x2)/2, (y1 + y2)/2) = ((2 + 4)/2, (3 + 7)/2) = (3, 5).
Correct Answer:
A
— (3, 5)
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Q. Which of the following triangles is similar to triangle ABC if angle A = angle D and angle B = angle E?
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A.
Triangle DEF
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B.
Triangle GHI
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C.
Triangle JKL
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D.
Triangle MNO
Solution
By the Angle-Angle (AA) similarity criterion, if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.
Correct Answer:
A
— Triangle DEF
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