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-axis

b. ry = 3

c. t< -2,5>

d. t< 3,-6>

e. r(90◦, o)

The answer

a) the main rule for transformations Rx-axis is as following
 original (x, y) the final coordinates become  (x, -y)

so the answer is  A' (2, -5), B' (4,-6) and C' (3,-1)

b) just put the figure of y= 3, and check the value after projection

it is  A' (2, 1), B' (4,0) and C' (3,4)

c) T<-2,5>, the main rule is as following

T(a, b) applying on (x, y) is  (a+x, b+y) for the transformed points

in our case, A' (0,10), B' (2,11) and C' (1,6)

d) the same method as above for d. T<3,-6>, we found
A '(5,-1), B '(7,0) and C ' (6,-5)