Congruent Figures Practice

Math 8 Q3 (Pre-Algebra) / Transformations and Congruence

The first step to determine that the rectangle in Quadrant III is congruent to the rectangle in Quadrant I was to rotate the first rectangle 90 degrees clockwise about the origin. What is the next step?

(1 point)

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3 answers

The next step is to reflect the rotated rectangle across the x-axis.
could you solve the problem and then give me the answer
Sure! To determine that the rectangle in Quadrant III is congruent to the rectangle in Quadrant I, let's follow the steps given:

1. Rotate the first rectangle 90 degrees clockwise about the origin.
2. Reflect the rotated rectangle across the x-axis.

Once reflected, the next step would be to determine the translation needed to move the reflected rectangle to overlap with the original rectangle in Quadrant I. Since no translation is mentioned in the given information, we can infer that there is no additional translation required.

Therefore, the next step is to reflect the rotated rectangle across the x-axis.
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