Answer: hope this helps i didnt see any A, B, C, D etc options to choose from
each point of the given figure has to be changed from (x, y) to (-y, x)
Step-by-step explanation:
When we rotate a figure of 90 degrees counterclockwise, each point of the given figure has to be changed from (x, y) to (-y, x) and graph the rotated figure.
Example 1 :
Let F (-4, -2), G (-2, -2) and H (-3, 1) be the three vertices of a triangle. If this triangle is rotated 90° counterclockwise, find the vertices of the rotated figure and graph.
Solution :
Step 1 :
Here, triangle is rotated 90° counterclockwise. So the rule that we have to apply here is
(x, y) -------> (-y, x)
Step 2 :
Based on the rule given in step 1, we have to find the vertices of the rotated figure.
Step 3 :
(x , y) -----> (-y , x)
F(-4 , -2) -------> F'(2, -4)
G(-2, -2) -------> G'(2, -2)
H (-3, 1) -------> H'(-1, -3)
Step 4 :
Vertices of the rotated figure are
F'(2, -4), G'(2, -2) and H'(-1, -3)
