Translations, Reflections, & Rotations

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Translations, Reflections, & Rotations 9.1, 9.2, & 9.3: Transformations -- Translations, Reflections, & Rotations

Translations Translation: a “slide” that moves a point a certain distance in a certain direction Ex1) Find the image of the point B(3, -4) after being translated left 5 and up 7.

Translations Ex2) Given the transformation below, describe the translation. Ex3) Write a rule to describe the translation PQRS P’Q’R’S’

Reflections Reflection: a “flip” across a specified line Ex4) Find the image of L(-2, 5) after being reflected across the y-axis.

Reflections Ex5) Given the transformation below, what line is the point reflected across? Ex6) Given the points R(-2,-1), A(1,-3), D(-2,-3), draw ΔRAD and its reflection image across the line y = -x + 2.

Rotations Rotation: a “turn” of a certain angle about a point called the center of rotation *Unless stated otherwise, rotations are counterclockwise Ex7) Find the image of P(-2,-2) after being rotated 180° about the origin.

Rotations Ex8) Find the image of Z(1,-4) after being rotated 270° about the origin. Ex9) Given the points X(0,-1), Y(1,2), Z(4,1), draw ΔXYZ and its rotation of 90° about the origin.

Transformations Ex 10) Use P(-5,3) as the preimage for each of the following transformations: Q) Translation: P R) Reflection over: S) Rotation of 270° about the origin

Transformations Ex11) Find the image of point X(-1, 5) after being translated 4 to the right, reflected across x = 0, and then rotated 180° about the origin.

Transformations Ex12) What type of transformation is represented by each figure? a) b) c)

p.487 #31, 34 (only about the origin) HW: p.473 #9-14, 22, 28 p.480 #1-13 odd p.487 #31, 34 (only about the origin)