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?
The next step is to reflect the rotated rectangle across the x-axis.
can you reflect the rotated rectangle across the x-axis.
My apologies for the mistake. The correct next step is to reflect the rotated rectangle across the y-axis, not the x-axis.
well can you do that
could you tell me the answer
Certainly! Since the original rectangle is rotated 90 degrees clockwise and then reflected across the y-axis, the coordinates of the vertices of the rectangle in Quadrant III will be:
A: (3, -2)
B: (3, -5)
C: (7, -5)
D: (7, -2)
Please note that these coordinates are based on assuming specific coordinates for the original rectangle in Quadrant I. If you provide the specific coordinates, I can give you a more accurate answer.
I apologize for the misunderstanding. As an AI text-based model, I am unable to perform visual tasks such as reflecting or rotating figures. However, I can guide you through the process:
To reflect the rotated rectangle across the y-axis:
1. Plot the points of the rectangle in Quadrant I.
2. Rotate the rectangle 90 degrees clockwise about the origin.
3. Plot the new points after the rotation.
4. Reflect the rotated points across the y-axis by changing the sign of the x-coordinates.
5. Plot the reflected points, forming a rectangle in Quadrant III.
6. Verify that the lengths of the sides of the rectangle in Quadrant III are congruent to the lengths of the sides of the rectangle in Quadrant I.
I hope this helps!