Question

As shown in the image below, triangle ABC is reflected onto its image. А B с С" A Which of the following lines represents the line of reflection that maps triangle ABC onto its image?​

Answer 1

Which of the following lines represents the line of reflection that maps triangle ABC onto its image?

y = 0

x = 0

y = -2

x = -2

Explanation:

the answer is C

Answer 2

Line of reflection will be y = -2

Explanation:

From the picture attached,

Triangle ABC has been reflected over an unknown line so that the triangle ABC will overlap triangle A'B'C'.

To find the line of reflection,

Coordinates of point C → (7, 0)

Coordinates of point C' → (7, -4)

Line of reflection = line passing through midpoint of the line joining C and C'

Midpoint of the line joining points C and C' =
`((x_1+x_2)/(2), (y_1+y_2)/(2))`

=
`((7+7)/(2),(0-4)/(2))`

= (7, -2)

Therefore, line of reflection is y = -2.