Question

Question
Rectangle MPAT has vertices M(1, 2) , P(1, 3) , A(3, 3) , and T(3, 2) . ​ Rectangle MPAT ​was translated 2 units up to produce rectangle M′P′A′T′ .

Which coordinates describe the vertices of the image?

Responses

M′(3, 2), P′(3, 3), A′(5, 3), T′(5, 2)
M prime open parentheses 3 comma 2 close parentheses , P prime open parentheses 3 comma 3 close parentheses , A prime open parentheses 5 comma 3 close parentheses , T prime open parentheses 5 comma 2 close parentheses

M′(1, 0), P′(1, 1), A′(3, 1), T′(3, 0)
M prime open parentheses 1 comma 0 close parentheses , P prime open parentheses 1 comma 1 close parentheses , A prime open parentheses 3 comma 1 close parentheses , T prime open parentheses 3 comma 0 close parentheses

M′(3, 4), P′(3, 5), A′(5, 5), T′(5, 4)
M prime open parentheses 3 comma 4 close parentheses , P prime open parentheses 3 comma 5 close parentheses , A prime open parentheses 5 comma 5 close parentheses , T prime open parentheses 5 comma 4 close parentheses

M′(1, 4), P′(1, 5), A′(3, 5), T′(3, 4)

Answer 1

To find the coordinates of the vertices of rectangle MPAT after it is translated 2 units up, we need to add 2 to the y-coordinate of each of the original vertices.

The original vertices of rectangle MPAT are:
- M(1, 2)
- P(1, 3)
- A(3, 3)
- T(3, 2)

Now, we will translate each vertex:

1. M′(1, 2 + 2) = M′(1, 4)
2. P′(1, 3 + 2) = P′(1, 5)
3. A′(3, 3 + 2) = A′(3, 5)
4. T′(3, 2 + 2) = T′(3, 4)

Thus, the coordinates of the vertices of rectangle M′P′A′T′ are:
- M′(1, 4)
- P′(1, 5)
- A′(3, 5)
- T′(3, 4)

The correct response is:
**M′(1, 4), P′(1, 5), A′(3, 5), T′(3, 4)**