Use graph sheet for this question. Take 2 cm = 1 unit along both x and y axis. Graphically represent parallelogram OABC, where O(0, 0), A(2, 3), B(5, 3) and C(3, 0).
Reflect OABC :
(a) on the x-axis and name its image as ODEC.
(b) through the origin and name its image as OIJH.
(c) on the y-axis and name its image as OFGH.
Show SolutionHide Solution↓
(a) The point O(0, 0), A(2, 3), B(5, 3) and C(3, 0) are plotted on the graph below :
From graph, on reflecting O, A, B, C on x-axis we get,
O(0, 0) ⇒ O(0, 0)
A(2, 3) ⇒ D(2, -3)
B(5, 3) ⇒ E(5, -3)
C(3, 0) ⇒ C(3, 0)
(b) From graph, on reflecting O, A, B, C trough origin we get,
O(0, 0) ⇒ O(0, 0)
A(2, 3) ⇒ I(-2, -3)
B(5, 3) ⇒ J(-5, -3)
C(3, 0) ⇒ H(-3, 0)
(c) From graph, on reflecting O, A, B, C on y-axis we get,
O(0, 0) ⇒ O(0, 0)
A(2, 3) ⇒ F(-2, 3)
B(5, 3) ⇒ G(-5, 3)
C(3, 0) ⇒ H(-3, 0)