Question

what would be the answer​

Answer 1

$\huge{\orange{\underline{\red{\mathcal{GIVEN:-}}}}}$

•the vertices of ||gm is A(6,1) , B(8,2) , C(9,4) & D(K,P).

$\huge{\orange{\underline{\red{\mathcal{QUESTION:-}}}}}$

MPac = MPbc

.°. ABCD IS A ||gm.

$( \: \frac{6 + 9}{2} \: , \: \frac{1 + 4}{2} ) \\ MP(ac) \: = ( \frac{15}{2} , \: \frac{5}{2} ) \\ .°.MP(bd) = ( \frac{8 + k}{2} , \frac{2 + p}{2} ) \\ .°. \: \frac{15}{2} = \frac{8 + k}{2} \\ .°. \: 8 + k = 15 \\ .°. k = 15 - 8 \\ \: \large{\orange{\underline{\purple{\mathscr{ .°. k=7}}}}} \: \\ .°. \: \frac{5}{2} = \frac{2 + p}{2} \\ .°.2 + p = 5 \\ .°. \: p = 5 - 2 \\ \: \:\large{\orange{\underline{\blue{\mathscr{.°. p=3}}}}}$