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Let ABCD be a parallelogram. We have that M is the midpoint of AB and N is the midpoint of BC. The segments DM and DN intersect AC at P and Q, respectively. If AC = 15 and DN = 35, what is DQ?

 Nov 10, 2020
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Let ABCD be a parallelogram. We have that M is the midpoint of AB and N is the midpoint of BC. The segments DM and DN intersect AC at P and Q, respectively. If AC = 15 and DN = 35, what is DQ?

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I used the Intercept theorem (Thales's theorem) to calculate the value of DQ.

 

Line segments DM and DN trisect diagonal AC.

 

Line segment MN = 1/2(AC)

 

 Nov 11, 2020
edited by jugoslav  Nov 11, 2020

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