Question
Download Solution PDFA parallelogram has three consecutive vertices (-3, 4), (0, -4) and (5, 2). The fourth vertex is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
ABCD is a parallelogram P, Q, R and S are mid-points of AB, BC, CD and DA respectively. Then PR and SQ bisect each other.
Calculation:
Applying the mid-point theorem,
\(\rm {{x+0}\over2}={{5-3}\over2}\)
⇒ x = 2
\({{y-4}\over2}={{4+2}\over2}\)
⇒ y = 10
So, the 4th coordinate is (2, 10)
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