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# In the figure above, segments KQ and NQ divide segment JP into three

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Math Expert
Joined: 02 Sep 2009
Posts: 55230
In the figure above, segments KQ and NQ divide segment JP into three  [#permalink]

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15 Aug 2017, 02:16
00:00

Difficulty:

15% (low)

Question Stats:

95% (01:26) correct 5% (01:10) wrong based on 30 sessions

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In the figure above, segments KQ and NQ divide segment JP into three segments of equal length, and segment JP bisects segments KQ and NQ. If the area of ∆ MNP is 6, what is the sum of the areas of the three triangles?

(A) 48
(B) 36
(C) 24
(D) 18
(E) 9

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2017-08-15_1312.png [ 8 KiB | Viewed 573 times ]

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Director
Joined: 14 Nov 2014
Posts: 622
Location: India
GMAT 1: 700 Q50 V34
GPA: 3.76
Re: In the figure above, segments KQ and NQ divide segment JP into three  [#permalink]

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15 Aug 2017, 03:01
with SAS criteria , we can prove triangle 1 is congruent to triangle 2 , triangle 2 is congruent to triangle 3 .
All three triangle are congruent .
area = 3 * 6 = 18
Re: In the figure above, segments KQ and NQ divide segment JP into three   [#permalink] 15 Aug 2017, 03:01
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