Question

Triangle MPR was translated 9 units to the left and 8 units up. Which rule describes the translation that was applied to triangle MPR to create triangle M'P'R'?

a). (x, y) - (x-8, y+9)
b) (x, y) - (x+9, y-8)
c) (x,y) - (x-9,y+8)
d). (x,y) - (9x, 8y)

Answer 1

The correct rule for translating triangle MPR 9 units left and 8 units up to create triangle M'P'R' is given by option (c) which is (x, y) → (x-9, y+8)(option c).

Step-by-step explanation:

The rule that describes the translation of triangle MPR to create triangle M'P'R' after being translated 9 units to the left and 8 units up is (x, y) → (x - 9, y + 8). When translating a point to the left, we subtract from the x-coordinate, and when moving it up, we add to the y-coordinate.

Therefore, the correct rule for this translation based on the given options is c) (x,y) - (x-9,y+8). The new position of any point after this translation will be 9 units less in the x-coordinate and 8 units more in the y-coordinate than its original position.