178k views
13 votes
∆ has the coordinates (3, 1), (5, 2), (4, 3). ∆´´´ has coordinates (-1, 2), (1, 3) and (0, 4). Which choice describes the translation of ∆ to ∆´´? A +4 units in the direction of x and -1 units in the direction of y B -4 units in the direction of x and +1 units in the direction of y C +4 units in the direction of x and +1 units in the direction of y D -4 units in the direction of x and -1 units in the direction of y

1 Answer

5 votes

Answer:

B -4 units in the direction of x and +1 units in the direction of y

Explanation:

Given


A = (3, 1), (5, 2), (4, 3)


A^(-1)= (-1, 2), (1, 3) (0, 4)

Required

Determine the translation from A to A-1

Take (3,1) from A and (-1,2) fro A-1 as points of reference,

For translation to occur, we make use of:


(3 + x,1+y) = (-1,2)

By comparison:


3 + x = -1 and
1 + y = 2

Solve for x and y


3 + x = -1


x = -1-3


x = -4


1 + y = 2


y = 2 - 1


y=1

(B) is correct.

User Tom Minka
by
6.5k points