Question

Use a graph paper for this question (Take 2 cms = 1 unit on both x and y-axis)

1) Plot the following points:A(0, 4), B(2, 3), C(1, 1) and D(2, 0)

2) Reflect points B, C, D on the y-axis and write down their coordinates. Name the images as B’, C’, D’ respectively

3) Join the points A, B, C, D, D’, C’, B’ and A in order, so as to form a closed figure. Write
down the equation of the line of symmetry of the figure formed

 

Answer 1

The image of point (x, y) on Y-axis has the coordinates (–x, y).
Thus, we have
Coordinates of B’ = (–2, 3)
Coordinates of C’ = (–1, 1)
Coordinates of D’ = (–2, 0)

Since, Y-axis is the line of symmetry of the figure formed, the equation of the line of symmetry is x = 0.