Identify the glide reflection rule to map ΔABC onto ΔA′B′C′ in the given figure. Multiple choice:

(A.) Translation: (x, y) → (x, y – 4); Reflection across the x-axis

(B.) Translation: (x, y) → (x + 4, y); Reflection across the x-axis

(C.) Translation: (x, y) → (x, y + 4); Reflection across the x-axis

(D.) Translation: (x, y) → (x, y – 4); Reflection across the y-axis

Answer D

Step-by-step explanation:

First of all, you see that the shape moves down 4 units, which means that (x, y - 4) works. Then, you see it being flipped over vertically, which means it's going over the y-axis. You see that the last answer is the one that works.

step-by-step explanation:

let pq = qr = rs = x, and xz = y and zu = z.

if the horizontal lines are parallel, then corresponding segments are in proportion:

substitute:

therefore 3 = y = z.

xu = y + z → xu = 3 + 3 = 6