Question

(i) Plot points A (0, 3), B (2, 3), C (3, 0), D (2, -3), E (0, -3)
(ii) Reflect points B, C and D on the y axis and name them as B', C' and D'
respectively.
(iii) Write the co-ordinates of B', C' and D'.
(iv) Write the equation of line B' D'.
(v) Name the figure BCDD'C'B'B

Answer 1

Given points:

A (0, 3), B (2, 3), C (3, 0), D (2, -3), E (0, -3).

i)Plot points A (0, 3), B (2, 3), C (3, 0), D (2, -3), E (0, -3)

= Plotted in graph attached.

ii) Reflect points B, C and D on the y axis and name them as B', C' and D'

respectively.

Reflecting on x-axis will change the sign of x-coordinate of that point.

So, Reflection of B(2,3) on y-axis = B'(-2,3).

Reflection of C(3,0) on y-axis = C'(-3,0).

Reflection of D(2,-3) on y-axis = D'(-2,-3).

Points are plotted in graph attached.

iii) Co-ordinates are B'(-2,3), C'(-3,0) , D'(-2,-3).

iv) Equation of line B'D':

B' = (-2, 3) , D' = (-2,-3)

Slope of line = (y₂ - y₁) / (x₂ - x₁)

or, m = -3-3 / -2-(-2)

or, m = -6 / 0

or, m = not defined

Therefore, Equation of line B' D' is not defined.

v) The figure BCDD'C'B'B is hexagon as it has 6 sides.