Question: What are the coordinates of the point (2, −3) after a counterclockwise rotation of 90° about the origin?

Answer: (3, 2)

Question:

Answer: rotation of 90° counterclockwise about the origin

translation 2 units right

Question: Graph the image of the given triangle after the transformation with the rule (x, y)→(x, −y) .

Select the “Polygon” button from the tool bar to plot your triangle. You may use the “Move” button to move the triangle after it is created.

Answer: (2, -3)

(7, -4)

(6, -8)

Question: Graph the image of the given triangle after the transformation with the rule (x, y)→(x−1, y+2) .

Select the “Polygon” button from the tool bar to plot your triangle. You may use the “Move” button to move the triangle after it is created.

Answer: (3, 7)

(1, 0)

(6, 5)

Question: The coordinates of the vertices of △RST are R(−4, −1) , S(−1, −1) , and T(−4, −2) .

The coordinates of the vertices of △R′S′T′ are R′(1, −2) , S′(1, 1) , and T′(2, −2) .

Drag and drop the answers into the boxes to correctly complete the statement.

A sequence of transformations that maps △RST to △R′S′T′ is a _____ followed by a ____.

Answer: rotation of 90 counterclockwise

translation 2 units up