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 MꞌPꞌAꞌTꞌ

Which coordinates describe the vertices of the image?

A.

Mꞌ(2, 4), Pꞌ(2, 5), Aꞌ(4, 5), and Tꞌ(4, 4)








B.

Mꞌ(3, 3), Pꞌ(3, 4), Aꞌ(5, 4), and Tꞌ(5, 3)








C.

Mꞌ(2, 2), Pꞌ(2, 3), Aꞌ(4, 3), and Tꞌ(4, 2)








D.

Mꞌ(1, 4), Pꞌ(1, 5), Aꞌ(3, 5), and Tꞌ(3, 4)

Answer 1

A: Mꞌ(2, 4), Pꞌ(2, 5), Aꞌ(4, 5), and Tꞌ(4, 4)

Answer 2

Translating MPAT 1 unit to the right and 2 units up means increasing the x-coordinates and y-coordinates by 1 and 2 units, respectively. We now have the following vertices for M'P'A'T': M': (1+1, 2+2) = (2, 4) P': (1+1, 3+2) = (2, 5) A': (3+1, 3+2) = (4, 5) T': (3+1, 2+2) = (4, 4) From this,the answer would be A: Mꞌ(2, 4), Pꞌ(2, 5), Aꞌ(4, 5), and Tꞌ(4, 4).