Rotate triangle ABC 90 degrees clockwise around the center of the graph and then reflect over the y-axis. Plait the new triangle
To rotate triangle ABC 90 degrees clockwise around the center of the graph, we first need to find the center of the graph. Since the graph is not provided, we will assume that the center is at the origin (0,0).
The coordinates of triangle ABC are:
A (x1, y1)
B (x2, y2)
C (x3, y3)
To rotate the triangle 90 degrees clockwise, we can use the following rotation formulas:
x' = x*cos(90) - y*sin(90)
y' = x*sin(90) + y*cos(90)
When we rotate the triangle 90 degrees clockwise around the origin, the new coordinates become:
A' (-y1, x1)
B' (-y2, x2)
C' (-y3, x3)
Next, we need to reflect the rotated triangle over the y-axis. To reflect a point over the y-axis, we change the sign of the x-coordinate:
A'' (y1, x1)
B'' (y2, x2)
C'' (y3, x3)
Plaiting the new triangle with coordinates A'', B'', and C'' will give us the final rotated and reflected triangle.