Question

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:

1. on the x-axis and name its image as ODEC.
2. through the origin and name its image as OIJH.
3. on the y-axis and name its image as OFGH.

Answer 1

(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 the 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 through the 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 the graph, on reflecting O, A, B, C on the 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)