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

Question

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Answer 1

After rotating the rectangle in Quadrant III by 90 degrees clockwise around the origin, the next step to determine whether the two rectangles are congruent is to compare their dimensions.

1. Measure Dimensions: Calculate the lengths of the sides of both rectangles. The rectangles are congruent if they have the same width and height.

2. Positioning: If the rectangles are in the same plane and are overlapping, you can visually or graphically verify that the rotated rectangle matches the original one in terms of shape and size.

3. Check Orientation: Ensure that they overlap completely without gaps if you were to superimpose them; this confirms congruence as congruent figures will match perfectly when placed on top of each other.

Through these steps, you can confirm whether the rectangle in Quadrant III is indeed congruent to the one in Quadrant I after the rotation.