Question

3. In the given figure, G is the point of concurrence,
of medians of AABC, If (AG) = 5cm then find
(GD).
th
F​

Answer 1

Step-by-step explanation:

(1) We have, in ☐ PQRS, m∠ P = m∠ R = 108ᴏ, m∠ Q = m∠ S =72ᴏ.

Since, both the pair of opposite angles of the quadrilateral are equal.

So, PQRS is a parallelogram.

⇒ Side PQ and side SR are parallel. (Opposite sides of parallelogram are equal.)

Hence, the correct answer is option (B).

Note: Since, side PQ and side QR; side SR and side SP; and side PS and PQ are pair of adjacent sides. So, side PQ and side QR; side SR and side SP; and side PS and PQ cannot be the pair of parallel sides. Thus, the only pair left side PQ and side SR are parallel.

(2) Since, the diagonals of rectangle and parallegram bisect each other but are not perpendicular and the one of the diagonal of kite bisect the other.