To determine the magnitude of the dilation from parallelogram ABCD to A'B'C'D', we need to analyze the coordinates of the vertices before and after dilation.
The dilation from the origin can be described mathematically as: \[ (x, y) \to (kx, ky) \] where \(k\) represents the dilation factor (the magnitude of dilation).
To find \(k\), you'd typically take a point from the original parallelogram (e.g. vertex A) and its corresponding point in the dilated parallelogram (e.g. vertex A'). You would then apply the formula: \[ k = \frac{\text{distance from origin to } A'}{\text{distance from origin to } A} \]
If you have the coordinates for points A and A' (and similarly for other points if needed), you can compute \(k\) step by step.
If you have specific coordinates or a visual representation that shows these points, calculate the distances from the origin and plug them into the formula.
Since it seems like the responses are given as discrete options (22, 13, 1/3, 11, 12), you can narrow it down based on the values you compute for \(k\).
If you can provide the coordinates of the relevant vertices, I can assist further in calculating the exact magnitude of dilation!
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