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Exam Name: Section Two : Mathematics
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SAT-Mathematics Test Topics Total Q&A: 160 Questions and Answers
Last Update: 2017-04-27
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NO.1 In the diagram above, side OB side OC. Which of the following is the measure of minor arc BC?
A. 27.5 degrees
B. 110 degrees
C. 70 degrees
D. 45 degrees
E. 55 degrees
Answer: C
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Explanation/Reference:
LineOB lineOC, which means the angles opposite lineOBandOC(anglesCandB) are congruent. Since
angleB= 55 degrees, then angleC= 55 degrees. There are 180 degrees in a triangle, so the measure
of angle O is equal to 180 (55 + 55) = 180 110 = 70 degrees. Angle O is a central angle. The measure of
its intercepted arc, minor arcBC, is equal to the measure of angle O, 70 degrees.
NO.2 In the diagram above, if line AB is parallel to line CD, and line EF is perpendicular to lines AB and CD,
all
of the following are true EXCEPT
A. Option B
B. Option E
C. Option A
D. Option C
E. Option D
Answer: B
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Explanation/Reference:
Since AB and CD are parallel lines cut by a transversal, anglef is equal to the sum of angles c and b.
However, anglef and angle g are not equal-- they are supplementary. Therefore, the sum of angles c
and
b is also supplementary--and not equal--tog.
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