translate quadrilateral ABCD 5 units to the right and 6 units down

Question

A (-4,-1)

B (-3,5)

C (3,4)

D (2,1)

 

Answer 1

A translation is a movement.  Translating the entire quadrilateral means translating each of the four points, A, B, C, and D, in the same way -- as per the instructions:  "5 units to the right and 6 units down"

 

"5 units to the right" means add 5 to the x value in each of the points

"6 units down" means subtract 6 from each of the y values

 

So do that to each point:

 

A:  (-4, -1) moves to (-4 + 5, -1 - 6) = (1, -7)

B:  (-3, 5) moves to (-3 + 5, 5 - 6) = (2, -1)

C:  (3, 4) moves to (3 + 5, 4 - 6), = (8, -2)

D:  (2, 1) moves to (2 + 5, 1 - 6) = (7, -5)