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 triangle ABC is shown in the diagram below

Part a)
R(x-axis) is the reflection of triangle ABC on the x-axis. The new coordinates is given as A' (2, -5), B' (4, -6), and C' (3, -1)

Part b) 
R(y=3) is the reflection of triangle ABC on the line with equation y=3.
The new coordinates are A' (2, 1), B' (4, 0), and C' (3, 5)

Part c)
T(-2, 5) is the translation of triangle ABC two units left and five units up. The new coordinates are A'(0, 10), B' (2, 11), and C'(1, 6)

Part d)
T(3, -6) is the translation of triangle ABC three units right and six units down. The new coordinates are A'(5, -1), B'(7, 0), and C'(6, -5)

Part e)
r(90°, 0) is the rotation of triangle ABC on the origin by 90° clockwise. The new coordinates are A'(5, -2), B'(6, -4) and C'(1 -3)