Question

Which of the following transformation rules demonstrates that triangle RST is congruent to triangle R'S'T' after being translated 6 units to the left and 4 units up?

A) (x, y) → (6x, -4y)
B) (x, y) → (-6x, 4y)
C) (x, y) → (x + 6, y - 4)
D) (x, y) → (x - 6, y + 4)

Answer 1

The transformation rule that makes triangle RST congruent to triangle R'S'T' after the described translation is D) (x, y) → (x - 6, y + 4).

Step-by-step explanation:

The translation that demonstrates that triangle RST is congruent to triangle R'S'T' after being translated 6 units to the left and 4 units up is represented by the transformation rule D) (x, y) → (x - 6, y + 4).

This rule signifies that for any point on triangle RST, you subtract 6 from the x-coordinate (to move it 6 units to the left) and add 4 to the y-coordinate (to move it 4 units up), resulting in the corresponding point on triangle R'S'T'.