Given a point on a line segment (-4,-6) what is the new point when the point is rotated clockwise about the origin 90 degrees
alright i have the answers their all right
8, -5
-6, 4
-8, 5
6 -4
-5, 9
I did the quick check and Joshua is right THANK YOU SO MUCHHHHH
To rotate a point clockwise 90 degrees about the origin, we can use the following formulas:
new_x = old_x * cos(theta) - old_y * sin(theta)
new_y = old_x * sin(theta) + old_y * cos(theta)
Considering the initial point is (-4, -6), we can substitute these values into the formulas:
new_x = -4 * cos(90 degrees) - (-6) * sin(90 degrees)
= -4 * 0 - (-6) * 1
= 6
new_y = -4 * sin(90 degrees) + (-6) * cos(90 degrees)
= -4 * 1 + (-6) * 0
= -4
Therefore, the new point after rotating (-4, -6) clockwise 90 degrees about the origin is (6, -4).
To rotate a point clockwise about the origin by 90 degrees, we can use the following steps:
1. Find the coordinates of the point after rotating it by 90 degrees.
2. Swap the x and y coordinates of the point.
3. Change the sign of the new x coordinate.
Let's follow these steps to find the new point after rotating the point (-4, -6) clockwise by 90 degrees:
1. Swap the x and y coordinates:
New point = (-6, -4)
2. Change the sign of the new x coordinate:
New point = (-(-6), -4)
= (6, -4)
Therefore, the new point after rotating (-4, -6) clockwise about the origin by 90 degrees is (6, -4).