Question

plot the points p(3 2) and q(-3 -2) from p and q draw perpendiculars PM and QN on y-axis assign a special name to quadrilateral PMQN and find it's area ii) Name two invariant points (scale1cm =1 unit) both sides​

Answer 1

Answer:

(i). a parallelogram; 12 cm² (ii).  The invariant points (0, 2), (0, - 2).

Step-by-step explanation:

(i). ( PM ⊥ y-axis and QN ⊥ y-axis ⇒ PM║QN and PM = QN = 2 cm ) ⇒ quadrilateral PMQN is a parallelogram

Diagonal MN divides parallelogram PMQN into two right angled triangles.

$A_{PMQN}$ = 2 × $A_{MQN}$

$A_{MQN}$ = $\frac{MN*NQ}{2}$

MN = 4 cm , NQ = 3 cm

$A_{MQN}$ = ( 4 × 3) ÷ 2 = 6 cm²

$A_{PMQN}$ = 2 × 6 = 12 cm²

(ii). The invariant points (0, 2), (0, - 2).