Question

Rectangle MPAT has vertices M(1, 2) , P(1, 3) , A(3, 3) , and T(3, 2) . ​ Rectangle MPAT ​ was translated 1 unit right and 2 units up to produce rectangle M'P'A'T' . Which coordinates describe the vertices of the image? M'(1, 4), P'(1, 5), A'(3, 5) , and T'(3, 4) M'(2, 2), P'(2, 3), A'(4, 3) , and T'(4, 2) M'(2, 4) , P'(2, 5) , A'(4, 5) , and T'(4, 4) M'(3, 3), P'(3, 4), A'(5, 4) , and T'(5, 5)

Answer 1

Let P (– 3, a) be the image of point Q(1, a + 4) in the point R(b, 1).

∴ R is the mid point of PQ.

⇒ Coordinates of R = Coordinates of mid point of PQ.



Thus, the value of a and b is 1 and – 1 respectively.