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)

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

The answer is a.

P(1-5, 4+3) ---> P'(-4, 7)
Q(-1-5, 4+3) ---> Q'(-6, 7)
R(-2-5, -4+3) ---> R'(-7, -1)
S(2,-5, -4+3) ---> S'(-3,-1)