Question

Perform the following transformations you can either graph the shape record the coordinate on the table

Answer 1

Rotation of a shape

In order to rotate a shape 90 degrees counterclockwise about the origin our points P(x,y) becomes P'(-y,x).

Then,

for A (2, 1),

we have that x=2 and y = 1,

then our rotated point A',

must be A'(-y, x) = A'(-1, 2)

Applying the same operation to B and C we have:

B (1, 4) ⇒ B'(-4, 1)

because originally x = 1 and y = 4

C (4, 3) ⇒ C'(-3, 4)

because originally x = 4 and y = 3

Then we have:

A (2, 1) ⇒ B'(-1, 2)

B (1, 4) ⇒ B'(-4, 1)

C (4, 3) ⇒ C'(-3, 4)