Question

2) Give the coordinates of the image of triangle JKL if J(2,3), K(-2,1), and L(-1,5) after the following glide reflection. Translation: (x, y) -> (x + 2, y - 3) Reflection: in the line x = -2

Answer 1

Applyin the Translation: (x, y) -> (x + 2, y - 3) , we get:

J(2,3) → (2 + 2, 3 - 3) → J'(4, 0)

K(-2,1) → (-2 + 2, 1 -3) → K'(0, -2)

L(-1,5) → (-1 + 2, 5 - 3) → L'(1, 2)

Reflection over the line x = -2​ transforms the point (x, y) into (-x-4, y)

J'(4, 0) → (-4 -4, 0) → J''(-8, 0)

K'(0, -2) → (0-4, -2) → K''(-4, -2)

L'(1, 2) →(-1 - 4, 2) → L''(-5, 2)