Question

Find the coordinates of quadrilateral PQRS with vertices P(1, 4), Q(-1, 4), R(-2, -4) and S(2, -4) under the translation (x,y)---> (x-5,y+3) ("that is an arrow btw not a less than sign or equal to sign").

a.
P’(-4, 7), Q’(-6, 7) , R’(-7, -1) and S’(-3, -1)
b.
P’(6, 7), Q’(4, 7) , R’(3, -1) and S’(7, -1)
c.
P’(-4, 1), Q’(-6, 1) , R’(-7, -7) and S’(-3, -7)
d.
P’(6, 1), Q’(4, 1) , R’(3, -7) and S’(7, -7)

Answer 1

a. P’(-4, 7), Q’(-6, 7) , R’(-7, -1) and S’(-3, -1)

Explanation:

Answer 2

We apply the rule to each of the vertices:
(x, y) ---> (x-5, y + 3)
P (1,4) ---> (1-5,4 + 3) >> (-4, 7)
Q (-1,4) ---> (-1-5,4 + 3) >> (-6, 7)
R (-2, -4) ---> (-2-5, -4 + 3) >> (- 7, -1)
S (2, -4) ---> (2-5, -4 + 3) >> (-3, -1)
Answer:
a.
P’(-4, 7), Q’(-6, 7) , R’(-7, -1) and S’(-3, -1)