Question

The graph shows kites TUVW and T'U'V'W'.
RSTUV Points: R (-10, 7), S (-8, 9), T (-6, 9), U (-4, 7), V (-7, 6)
R'S'T'U'V' Points: R' (3, 8), S' (5, 6), T' (5, 4), U' (3, 2), V' (2, 5)

Which sequence of transformations maps TUVW onto T'U'V'W'?
A. a translation right 2 units and down 11 units followed by a rotation 180 degrees around the origin
B. a translation right 12 units and down 11 units followed by a rotation 90 degrees counterclockwise around the origin
C. a translation right 2 units and down 4 units followed by a rotation 90 degrees clockwise around the origin

Answer 1

C.

Translate each vertex right 2 and down 4, then rotate 90° clockwise about the origin.

Check on three vertices:
- T(-6,9) -> translate to (-4,5) -> 90° CW -> (5,4) = T'
- U(-4,7) -> translate to (-2,3) -> 90° CW -> (3,2) = U'
- V(-7,6) -> translate to (-5,2) -> 90° CW -> (2,5) = V'

Since three noncollinear points match, the whole kite is carried to T'U'V'W'.