Question

The figure shows ΔDEF and ΔD'E'F'. Fill in each entry box with the answer.

The glide reflection that maps ΔDEF onto ΔD'E'F' is T º Ry = 1 where a = ____ and b = ____
Does the order of translations and reflection matter in the glide reflection? Answer yes or no.

Answer 1

9514 1404 393

Answer:

• (a, b) = (-2, 0)
• no

Explanation:

Reflecting D over y=1 moves it to D'(-2, 4). An additional translation of (-2, 0) is required to move it to D'(-4, 4).

The translation only affects the x-coordinate, so can occur either before or after the reflection, which only affects the y-coordinate.

The order of transformations does not matter.