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Experiment with a circular grid to make predictions about dilating a line segment. Which statement must be true?

A. YZ is twice as long as WX
B. YZ is five units longer than WX
C. The point P is on YZ
D. YZ and WX intersect

1 Answer

3 votes

Final answer:

Without additional details such as the dilation factor and the position of line segments WX and YZ on the circular grid, none of the given statements can be confirmed as true.

Step-by-step explanation:

When experimenting with a circular grid to make predictions about dilating a line segment, certain geometric principles apply. If we consider points W, X, Y, Z, and P, and a line segment WX being dilated to YZ, the true statement from the given options would depend on the center of dilation and the scale factor. However, without additional information, such as the location of the points or the scale factor, we can only speculate.

The prediction that 'YZ is twice as long as WX' or 'YZ is five units longer than WX' would require knowledge of the dilation factor. 'The point P is on YZ' can only be confirmed if P is defined in relation to YZ. Lastly, 'YZ and WX intersect' could be true if they have a common point, but again, this depends on their specific positions in the grid.

In conclusion, without specific details about the dilation and positions of the line segments, it is not possible to definitively choose a true statement.

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