Geometry 1.11: Use Algebra to Describe Geometry 2

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.

(2, -3) (7, -4) (6, -8)

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

(3, 2)

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.

(3, 7) (1, 0) (6, 5)

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 ____.

rotation of 90 counterclockwise translation 2 units up

Drag and drop the answers into the boxes to correctly complete the statement. A sequence of transformations that maps △ABC to △A′B′C′ is a _____ followed by a ______. The two triangles are on a coordinate plane. The horizontal x-axis ranges from negative 5 to 5 with an increment of 1. The vertical y-axis ranges from negative 5 to 5 with an increment of 1. A dashed triangle has vertex A prime at begin ordered pair negative 1 comma negative 4 end ordered pair, vertex B prime at begin ordered pair negative 1 comma negative 1 end ordered pair and vertex C prime at begin ordered pair 1 comma negative 2 end ordered pair. A solid triangle has vertex A at begin ordered pair negative 4 comma 3 end ordered pair, vertex B at begin ordered pair negative 1 comma 3 end ordered pair and vertex C at begin ordered pair negative 2 comma 1 end ordered pair.

rotation of 90° counterclockwise about the origin translation 2 units right