Question

Triangle TMQ is shown with vertices T (4, 1), M(1, 3), and Q(2, 3).Triangle TMQ is reflected across the line y = 1 to form triangle T'M'Q' what are the coordinates of Q'?

Answer 1

In order to find the coordinates of the vertex T', M' and Q', use the following transformation:

T(x,y) => T'(x , -(y - 1) + 1)

Then, for the given points T, M and Q, you obtain:

T(-4 , 1) => T'(-4, -(1 - 1) + 1) = T'(4 , 1)

M(-1 , 3) => M'(-1, -(3 - 1) + 1) = M'(1 , -1)

Q(2 , -3) => Q'(2 , -(-3 -1) + 1) = Q'(2 , 5)

Hence, the coordinates ofthe point Q' are (2 , 5)