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06 Jun 2017, 11:18
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
45% (02:01) correct
55%
(02:08)
wrong
based on 201
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In the circle above, chords AC and BD intersect at point P. If PD/PC = 5/3, what is the length BP?
(1) AP=10
(2) Angle BPC measures 90 degrees.
Attachment:
IntersectP.png [ 13.62 KiB | Viewed 6613 times ]
22 Jun 2017, 21:53
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septwibowo
They are similar because
angle APB = angle CPD (Vertically opposite angles)
angle ABD = angle ACD (Angles drawn by same arc on circumference)
Two angles are same so third angle is bound be same hence the two triangles are similar.
I hope this helps!!!
General Discussion
08 Jun 2017, 03:52
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Since AP and BD are two chords which intersect, we know that:
AP*PC=BP*PD
Now lets take a look at the statements,
Statement 1: It gives us the value of AP and we already know the value of PD/PC. Using this information we can easily solve for the value of AP.
Statement 2: This is not sufficient to come to an answer as there is no measure of length mentioned in the information, only a ratio in the original question.
Therefore, the answer should be A.
AP*PC=BP*PD
Now lets take a look at the statements,
Statement 1: It gives us the value of AP and we already know the value of PD/PC. Using this information we can easily solve for the value of AP.
Statement 2: This is not sufficient to come to an answer as there is no measure of length mentioned in the information, only a ratio in the original question.
Therefore, the answer should be A.
