Question
Unit 5 lesson 8 congruent figures practice.
The first step to determine that the rectangle in Quadrant Ill 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?
The first step to determine that the rectangle in Quadrant Ill 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?
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GPT-4o mini
To determine if the rectangle in Quadrant III is congruent to the rectangle in Quadrant I after rotating the first rectangle 90 degrees clockwise about the origin, the next step is to check if the corresponding sides of both rectangles are equal in length and if their corresponding angles are equal.
1. **Position Check**: After rotating, confirm the position of the rectangle in Quadrant I is correctly aligned with the dimensions of the rectangle from Quadrant III.
2. **Side Lengths**: Measure the lengths of the sides of both rectangles to ensure that they match. For congruent figures, all corresponding sides must be equal.
3. **Angle Measurement**: Verify that the angles of both rectangles are all right angles (90 degrees), as rectangles have congruent angles.
If both the side lengths and angles are congruent, then the two rectangles can be concluded as congruent.
1. **Position Check**: After rotating, confirm the position of the rectangle in Quadrant I is correctly aligned with the dimensions of the rectangle from Quadrant III.
2. **Side Lengths**: Measure the lengths of the sides of both rectangles to ensure that they match. For congruent figures, all corresponding sides must be equal.
3. **Angle Measurement**: Verify that the angles of both rectangles are all right angles (90 degrees), as rectangles have congruent angles.
If both the side lengths and angles are congruent, then the two rectangles can be concluded as congruent.
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