Predicting results of rigid transformations

∆ABC is translated 2 units down and 1 unit to the left. Then it is rotated 90° clockwise about the origin to form ∆A′B′C′. The coordinates of vertex A′ of ∆A′B′C′ are (-2, 0)(2, 1)(-1, -2)(-2, 1).The coordinates of vertex B′ of ∆A′B′C′ are (1, -1)(1, 0)(5, 0)(2, -3).The coordinates of vertex C′ of ∆A′B′C′ are (-1, -1)(3, 0)(-1, 0)(0, -3).

(-2,1) (1,0) (-1,0)

ΔABC with vertices A(-3, 0), B(-2, 3), C(-1, 1) is rotated 180° clockwise about the origin. It is then reflected across the line y = -x. What are the coordinates of the vertices of the image?

A'(0, -3), B'(3, -2), C'(1, -1)

Which sequence of rigid transformations will not map the preimage ΔABC onto the image ΔA′B′C′ ?

a reflection across the y-axis followed by a reflection across the x-axis

Triangle ABC underwent a sequence of transformations to give triangle A′B′C′. Which transformations could not have taken place?

a rotation 180° clockwise about the origin followed by a reflection across the line y = x

A sequence of transformations maps ∆ABC to ∆A′B′C′. The sequence of transformations that maps ∆ABC to ∆A′B′C′ is a reflection across the followed by a translation .

line y=x 10 units to the right and 4 units up