Question

Use a graph sheet for this question, take 2 cm = 1 unit along both x and y-axis:

1. Plot the points A (3, 2) and B (5, 0). Reflect point A on the y-axis to A΄. Write co-ordinates of A΄.
2. Reflect point B on the line AA΄ to B΄. Write the co-ordinates of B΄.
3. Name the closed figure A’B’AB.

Answer 1

(a) A' (- 3, 2)

(b) Since we know that,

The reflection of point (a, b) with respect to line y = k is a point (a, 2k- b)

Here, k = 2, a = 5, b = 0

∴ B' = (5, 2 × 2 - 0)

∴ B' = (5, 4)

(c) A'B'AB is an arrowhead