Question

What is the equation for the line of reflection? On a coordinate plane, triangle A B C has points (6, 3.7), (5.4, 2), (1, 3). Triangle A prime B prime C prime has points (3.7, 6), (2, 5.4), (3, 1). x = 3 y = 3 y = x x = 6

Answer 1

Answer:

The equation of the line of reflection will be x = y.

Step-by-step explanation:

On a coordinate plane, triangle Δ ABC has points (6, 3.7), (5.4, 2), (1, 3). And triangle Δ A'B'C' has points (3.7, 6), (2, 5.4), (3, 1).

Now, Δ A'B'C' is the image triangle of Δ ABC and we have to find the equation of the line of reflection.

We know that after reflection of a point P(h,k) over the line x = y the image will be P'(k,h).

Same is happened in case of Δ ABC and Δ A'B'C'.

Therefore, the equation of the line of reflection will be x = y. (Answer)