Question

Given the vertices of ∆ABC are A (2,-5), B (-4,6) and C (3,1), find the vertices following each of

the transformations FROM THE ORIGINAL vertices:

a. Rx = 3

b. T<3,-6>

c. r(90◦, o)

Answer 1

A=0.9 B=-1 C=-0.6 D=0.2

Explanation:

Answer 2

a. Translation right by 3 units means (x, y)⇒ (x+3, y). Your image points are
A' = (2+3, -5)
A' = (5, -5)
B' = (-4+3, 6)
B' = (-1, 6)
C' = (3+3, 1)
C' = (6, 1)

b. Translation by <3, -6> means (x, y) ⇒ (x+3, y-6). Your image points are
A' = (5, -11)
B' = (-1, 0)
C' = (6, -5)

c. Rotation CCW by 90° means (x, y) ⇒ (-y, x). Your image points are
A' = (5, 2)
B' = (-6, -4)
C' = (-1, 3)