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Aptitude · Q26

Mensuration 2d

Competitive Exams · Aptitude · question 26

Q26

ABCD is a parallelogram. BC is produced to Q such that BC = CQ. Then

A.
area (ΔABC) = area (ΔDCQ)
Answer
B.
area (ΔABC) > area (ΔDCQ)
C.
area (ΔABC) < area (ΔDCQ)
D.
area (ΔABC) ≠ area (ΔDCQ)

Answer: Option A

Solution

Answer: Option A
Solution:
Mensuration 2D mcq question image
In ΔABC & ΔDCQ
∠ABC = ∠DCQ
∠ACB = ∠DQC
BC = CQ
ΔABC ≅ ΔDCQ
ar ΔABC = ar ΔDCQ