Question

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

y
7
Pro
6-
5-
Ted
4
B'3
B
2
N
+
-7 -6
-5 -4 -3 -2
2 3
5
6
7
СТ
-2
C
-3-
Do 4 problems OOOO

Answer 1

Line of reflection → x = 1

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'

=
`((x_+x_2)/(2),(y_1+y_2)/(2))`

=
`((3-1)/(2),(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