https://file.aiquickdraw.com/mathbot/file/1725930694586b3s88d9c.jpg

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.

Rectangle ABCD is shown on the coordinate plane below. If a dilation image of Rectangle ABCD with the origin as the center of dilation and a scale factor of 2, which ordered pair would NOT be a vertex of this dilation?

Learn how to determine which ordered pair is NOT a vertex after dilating Rectangle ABCD on a coordinate plane with the origin as the center and a scale factor of 2. Understand key concepts in geometry, such as transformations and dilation, with step-by-step solutions suitable for Grades 8-10.

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