If a(1,2) b(4,q) c(p,6) and d(3,5) are the vertices of a parallelogram abcd, find the value of pand q
Answers
Answered by
13
p = 6 and q = 3
Step-by-step explanation:
Given by question,
The four vertices of a parallelogram are A(1, 2), B(4, q), C(p,6) and D(3,5).
To find, the value of pand q = ?
We know,
The diagonals of the parallelogram bisect each other.
∴ Mid point of diagonal BD = Mid Point of diagonal AC
Mid point of diagonal BD
Mid Point of diagonal AC
∴ and
⇒
⇒ 1 + p = 7
⇒ p = 7 - 1 = 6
⇒
⇒ q + 5 = 8
⇒ q = 8 - 5 = 3
Hence, p = 6 and q = 3
Answered by
0
Answer:
p=3 q=6
Step-by-step explanation:
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