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A square is plotted on a coordinate plane. Henry claims that any transformation on the square will preserve the Which of the following transformations could be used to show that Henry's claim is incorrect? Select all that app translation of 5 units to the right \( \square \) ditition by a factor of 2 through the origin by a factor of \( \frac{1}{3} \) \( \square \) a reflection over the \( x \)-axis \( 45^{\circ} \) clochwise about the square's center

Ask by Cox Carrillo. in the United States
Jan 23,2025

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None of the listed transformations show that Henry's claim is incorrect because all preserve the square's shape and size.

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The Deep Dive

To challenge Henry's claim, you could use the transformation of dilation by a factor of 2. This transformation will enlarge the square, making its dimensions change while keeping the shape similar. Therefore, it does not preserve the original size but maintains the square's overall shape. Another effective transformation is reflecting the square over the \( x \)-axis. This will alter the orientation of the square, thus demonstrating that although the shape remains a square, its position and symmetry related to the original square are affected, disproving Henry's assertion about all transformations preserving the square's properties.

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