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ICSE Class 9 Answered

ABCD is a quadrilateral in which AB||CD. F is the midpoint of BC. PQ is drawn parallel to CD which meets AD at Q. Prove that PQ bisects both the diagonals AC and BD. 
Asked by ranitadutta745 | 08 Oct, 2018, 01:55: PM
answered-by-expert Expert Answer
Correction in question: P is the midpoint of BC 
PQ || AB || CD
in triangle ABC
by BPT
CP/PB =CY/YA
CP = PB so, CY = YA......so PQ bisects diagonal AC
Also, by property of equal intercepts
we can say
CP/PB =CY/YA =DQ/DA
Apply BPT in Trinagle ADB to prove that PQ bisects diagonal BD
Answered by Arun | 12 Oct, 2018, 11:00: AM

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