Question

Draw the line of reflection that reflects ABC onto AA'B'C'.

Answer 1

Answer:

Line of reflection → x = 1

Step-by-step explanation:

Coordinates of B → (3, 2)

Coordinates of B' → (-1, 2)

If point B is reflected across a vertical line x = a, both the points B and B' will be equidistant from the line of reflection.

Coordinates of the midpoint of the segment joining B and B'

= $(\frac{x_+x_2}{2},\frac{y_1+y_2}{2})$

= $(\frac{3-1}{2},\frac{2+2}{2})$

= (1, 2)

Line of reflection will pass through this midpoint (1, 2)

Therefore, equation of the line of reflection will be,

x = 1