The problem asks for the ordered pair that would NOT be a vertex after dilation of rectangle ABCD, centered at the origin, with a scale factor of 2.

Step 1: Identify original coordinates of ABCD

Looking at the grid, we can estimate the coordinates of each vertex of rectangle ABCD:

• $A = (-2, -1)$
• $B = (-2, 1)$
• $C = (2, 1)$
• $D = (2, -1)$

Step 2: Apply dilation

The dilation formula with the origin as the center and a scale factor of 2 is: $(x', y') = (2x, 2y)$ Apply this to each vertex:

• $A' = (2 \times -2, 2 \times -1) = (-4, -2)$
• $B' = (2 \times -2, 2 \times 1) = (-4, 2)$
• $C' = (2 \times 2, 2 \times 1) = (4, 2)$
• $D' = (2 \times 2, 2 \times -1) = (4, -2)$

Step 3: Check options

Now compare the given options:

• (10, -2) → Not a vertex
• (-2, 2) → Not a vertex
• (-2, 10) → Not a vertex
• (10, 10) → Not a vertex

None of these match the vertices after dilation.