True or False: Given A(-4, 8), the image after a translation of (x – 7, y + 6) is A’(-11, 14). Problem of the Day

Section 9-3 Rotations

Then Now Objectives You identified rotations and verified them as congruence transformations. Draw rotations. Draw rotations in the coordinate plane.

Common Core State Standards Content Standards G.CO.4 – Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments. G.CO.5 – Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure. Specify a sequence of transformations that will carry a given figure onto another. Mathematical Practices 2) Reason abstractly and quantitatively. 5) Use appropriate tools strategically. Common Core State Standards

A rotation or turn is a transformation around a fixed point called the center of rotation, through a specific angle, and in a specific direction. Each point of the original figure and its image are the same distance from the center. Vocabulary

Assume all rotations are counterclockwise unless stated otherwise.

Parallelogram FGHJ has vertices F(1, 1), G(6, 1), H(5, -3), and J(0, -3). Graph FGHJ and its image after a rotation of 180 degrees about the origin. Example 2

Parallelogram FGHJ has vertices F(1, 1), G(6, 1), H(5, -3), and J(0, -3). Graph FGHJ and its image after a rotation of 90 degrees about the origin. Example 2

Parallelogram FGHJ has vertices F(1, 1), G(6, 1), H(5, -3), and J(0, -3). Graph FGHJ and its image after a rotation of 270 degrees about the origin. Example 2

Parallelogram WXYZ is rotated 180 degrees counterclockwise about the origin. Which of these graphs represents the resulting image? Example 3

Example 3

Example 3

p.643 #3, 4, 15, 17, 19, 47 – 49 Homework