Question

i. consider the illustration below. triangle abc is rotated 270 degrees clockwise centered at the origin, (0, 0), to create triangle def. what are the coordinates of triangle def?
ii. plot the coordinates of triangle def. (show the triangle in the paper version of this test.
b(2, 8)
a(2, 3)
c(8, 4)
d(2,3) e(2,8) f(8,4)
d(-2,3) e(-2,8) f(-8,4)
d(3,-2) e(8,-2) f(4,-8)
d(-3,2) e(-8,2) f(-4,8)

Explanation:

Step1: Recall rotation rule

The rule for a 270 - degree clockwise rotation about the origin $(x,y)\to(y, - x)$.

Step2: Apply rule to point A(2,3)

For point A with $x = 2$ and $y = 3$, after rotation, the new coordinates are $(3,-2)$.

Step3: Apply rule to point B(2,8)

For point B with $x = 2$ and $y = 8$, after rotation, the new coordinates are $(8,-2)$.

Step4: Apply rule to point C(8,4)

For point C with $x = 8$ and $y = 4$, after rotation, the new coordinates are $(4,-8)$.

Answer:

D(3,-2), E(8,-2), F(4,-8)