Question

51 POINTS ANSWER (correctly) QUICKLY

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?

A. M'(3, 3), P'(3, 4), A'(5, 4), and T'(5, 5)
B. M'(2, 2), P'(2, 3), A'(4, 3) , and T'(4, 2)
C. M'(1, 4), P'(1, 5), A'(3, 5) , and T'(3, 4)
D. M'(2, 4) , P'(2, 5) , A'(4, 5) , and T'(4, 4)

Answer 1

• D. M'(2, 4) , P'(2, 5) , A'(4, 5) , and T'(4, 4)

Explanation:

The translation rule is:

• (x, y) → (x + 1, y + 2)

Apply this rule to the vertices:

• M(1, 2) → M'(1 + 1 = 2, 2 + 2 = 4)
• P(1, 3) → P'(1 + 1 = 2, 3 + 2 = 5)
• A(3, 3) → A'(3 + 1 = 4, 3 + 2 = 5)
• T(3, 2) → T'(3 + 1 = 4, 2 + 2 = 4)

Correct choice is D