Question

Determine the coordinates of the vertices of each figure after the given transformation.

a. translation 16 units right and 12 units down

J(- 2, 1), F(- 2, 4), N(2, 1)

b. rotation of 90° clockwise about the origin

B(- 2, 0), C(- 4,3), Z(- 3, 4), X(- 1, 4)

Answer 1

a. After translating 16 units right and 12 units down:

J' = (-2 + 16, 1 - 12) = (14, -11)
F' = (-2 + 16, 4 - 12) = (14, -8)
N' = (2 + 16, 1 - 12) = (18, -11)

So, the new coordinates of the vertices are J'(14, -11), F'(14, -8), N'(18, -11).

b. After rotating 90° clockwise about the origin:

B' = (0, -(-2)) = (0, 2)
C' = (3, -(-4)) = (3, 4)
Z' = (4, -(-3)) = (4, 3)
X' = (4, -(-1)) = (4, 1)

So, the new coordinates of the vertices are B'(0, 2), C'(3, 4), Z'(4, 3), X'(4, 1).