Find the coordinates of the image of point R(3, -5) rotated 180 about the origin.
I think the answer is (-5,-3)
Does a equilateral triangle shape have rotational symmetry?
I pretty sure the answer is yes
rotation through 180° changes both signs. So, (3,-5) -> (-3,5)
Did you actually plot your solution? You would see that it was nowhere near the rotated point.
an equilateral triangle has axial and rotational symmetry.
(-24,-15)
To find the coordinates of the image of point R(3, -5) after rotating it 180 degrees about the origin, you can use the following steps:
1. Take the negative of both the x-coordinate and the y-coordinate of the original point R(3, -5). This is because rotating a point 180 degrees about the origin simply involves flipping the sign of both coordinates.
2. So for point R(3, -5), the x-coordinate after rotation would be -3, and the y-coordinate after rotation would be 5. Therefore, the coordinates of the image of point R after rotating 180 degrees about the origin are (-3, 5).
Hence, based on the calculation steps, the answer to your question is (-3, 5), not (-5, -3).