9.4 Perform Rotations · THEOREM 9.3 Rotation Theorem A rotation is an isometry. Proof: Exs. 33-35,...

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9.4 Perform Rotations

Transcript of 9.4 Perform Rotations · THEOREM 9.3 Rotation Theorem A rotation is an isometry. Proof: Exs. 33-35,...

Page 1: 9.4 Perform Rotations · THEOREM 9.3 Rotation Theorem A rotation is an isometry. Proof: Exs. 33-35, p. 604 L ABC = LA'B'C' The quadrilateral is rotated about P. What is the value

9.4 Perform Rotations

Page 2: 9.4 Perform Rotations · THEOREM 9.3 Rotation Theorem A rotation is an isometry. Proof: Exs. 33-35, p. 604 L ABC = LA'B'C' The quadrilateral is rotated about P. What is the value

Center of Rotation: fixed point in which the figure is turned about

Angle of Rotation: Rays drawn from the center of rotation to a point and its image

**in this chapter, all rotations are counterclockwise

Page 3: 9.4 Perform Rotations · THEOREM 9.3 Rotation Theorem A rotation is an isometry. Proof: Exs. 33-35, p. 604 L ABC = LA'B'C' The quadrilateral is rotated about P. What is the value

Rotations about the Origin

Page 4: 9.4 Perform Rotations · THEOREM 9.3 Rotation Theorem A rotation is an isometry. Proof: Exs. 33-35, p. 604 L ABC = LA'B'C' The quadrilateral is rotated about P. What is the value
Page 5: 9.4 Perform Rotations · THEOREM 9.3 Rotation Theorem A rotation is an isometry. Proof: Exs. 33-35, p. 604 L ABC = LA'B'C' The quadrilateral is rotated about P. What is the value
Page 6: 9.4 Perform Rotations · THEOREM 9.3 Rotation Theorem A rotation is an isometry. Proof: Exs. 33-35, p. 604 L ABC = LA'B'C' The quadrilateral is rotated about P. What is the value
Page 7: 9.4 Perform Rotations · THEOREM 9.3 Rotation Theorem A rotation is an isometry. Proof: Exs. 33-35, p. 604 L ABC = LA'B'C' The quadrilateral is rotated about P. What is the value
Page 8: 9.4 Perform Rotations · THEOREM 9.3 Rotation Theorem A rotation is an isometry. Proof: Exs. 33-35, p. 604 L ABC = LA'B'C' The quadrilateral is rotated about P. What is the value
Page 9: 9.4 Perform Rotations · THEOREM 9.3 Rotation Theorem A rotation is an isometry. Proof: Exs. 33-35, p. 604 L ABC = LA'B'C' The quadrilateral is rotated about P. What is the value
Page 10: 9.4 Perform Rotations · THEOREM 9.3 Rotation Theorem A rotation is an isometry. Proof: Exs. 33-35, p. 604 L ABC = LA'B'C' The quadrilateral is rotated about P. What is the value
Page 11: 9.4 Perform Rotations · THEOREM 9.3 Rotation Theorem A rotation is an isometry. Proof: Exs. 33-35, p. 604 L ABC = LA'B'C' The quadrilateral is rotated about P. What is the value
Page 12: 9.4 Perform Rotations · THEOREM 9.3 Rotation Theorem A rotation is an isometry. Proof: Exs. 33-35, p. 604 L ABC = LA'B'C' The quadrilateral is rotated about P. What is the value
Page 13: 9.4 Perform Rotations · THEOREM 9.3 Rotation Theorem A rotation is an isometry. Proof: Exs. 33-35, p. 604 L ABC = LA'B'C' The quadrilateral is rotated about P. What is the value

Hwk p. 602 (3-5, 12-21)