To determine the correct translation that maps quadrilateral ABCD to quadrilateral EHGF, we need to analyze the movement in terms of the x (horizontal) and y (vertical) directions.
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Identify the Change in x:
- If the coordinates of a point on quadrilateral ABCD (let's say point A) change from (x1, y1) to (x2, y2) in quadrilateral EHGF, the change in the x-coordinate is calculated as \(x2 - x1\).
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Identify the Change in y:
- Similarly, the change in the y-coordinate is \(y2 - y1\).
Assuming you have the coordinates of both quadrilaterals, you would apply these calculations to each corresponding point to determine if they move to the left, right, up, or down, and by how much.
However, since I do not have the coordinates, I can only guide you on how to do the calculations. In general:
- Left Movement: Negative change in x (more negative means going left)
- Right Movement: Positive change in x
- Up Movement: Positive change in y
- Down Movement: Negative change in y
You would determine the net movement by checking the signs and values of the results.
Based on your provided options, one of them must correctly describe the translation. Once you perform the calculations with the specific coordinates, you can choose the correct translation statement.
If you provide the coordinates of quadrilaterals ABCD and EHGF, I can help you calculate the exact translation.
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