Question

Draw the line of reflection that reflects △ABC onto triangle Δ A'B'C'

Answer 1

Explanation:

Coordinates of the vertex A → (-4, -6)

Coordinates of the vertex A' → (6, 6)

Since, y-coordinates are same opposite in notation,

Therefore, by the rule of reflection, line of reflection will be a line parallel to y-axis.

And points A and A' will be equidistant from the line of reflection.

Midpoint between A and A' =
`((x_1+x_2)/(2),(y_1+y_2)/(2))`

=
`((-4+6)/(2),(-6+6)/(2))`

= (1, 0)

Therefore, x = 1 will be the line of reflection.