The final image is the same as which of the following transformations?
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The final image is the same as what single transformation?
Which sequence of transformations produces L'M'N' from LMN?
A clockwise rotation ° about the origin followed by a translation units to the right and 6 units down produces ΔX'Y'Z' from ΔXYZ.
a reflection across the y-axis followed by a clockwise rotation 90° about the origina reflection across the x-axis, followed by a counter-clockwise rotation 90° about the origin, followed by a translation 4 units down and 4 units to the lefta counter-clockwise rotation of 90° about the origin followed by a translation 4 units to the rightno sequence of translations, rotations, and reflections because the images are not congruent
Choose all sequences of transformations that produce the same image of a given figure.
Do you think a sequence of translations across the x- or y-axis and/or reflections on a figure could result in the same image as a 90-degree clockwise rotation? Explain why or why not.
No, it is not possible. A 90-degree clockwise rotation changes the position of the x- and y-coordinates (transforming (x, y) into (y, -x)). Translations and reflections across the x- or y-axis only change the signs or values of the coordinates, but they cannot swap the order of the x and y values itself. Therefore, you cannot achieve the same result as a rotation using only these transformations.
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