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2017年5月9日 星期二

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NO.1 In the diagram above, line AB is parallel to line CD, angle EIJ measures 140 degrees and angle CKG
measures 55 degrees. What is the measure of angle IKJ?
A. 55 degrees
B. 85 degrees
C. 135 degrees
D. 95 degrees
E. 40 degrees
Answer: B

SAT-Mathematics Resourse   
Explanation/Reference:
Since AB and CD are parallel lines cut by transversals EF and GH respectively, angles CKG and IJK are
alternating angles. Alternating angles are equal in measure, so angle IJK= 55 degrees. Angles EIJ and
JIK form a line. They are supplementary and their measures sum to degrees. Angle JIK degrees.
Angles
JIK, IJK, and IKJ comprise a triangle. There are 180
degrees in a triangle; therefore, the measure of angle IKJ= 180 (55 + 40) = 85 degrees.

NO.2 Eggs Found in a Hunt Over Time
The scatter plot above shows how many eggs were found in a hunt over time. Which of the labeled
points
represents a number of eggs found that is greater than the number of minutes that has elapsed?
A. D
B. B
C. C
D. A
E. E
Answer: E

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Explanation/Reference:
The point that represents a number of eggs found that is greater than the number of minutes that
has
elapsed is the point that has a y value that is greater than its x value. Only point E lies farther from
the
horizontal axis than it lies from the vertical axis. At point E, more eggs have been found than the
number
of minutes that has elapsed.

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2017年4月27日 星期四

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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

SAT-Mathematics Authentic   
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.