Warm up Rotate P(-4, -4) 180 Rotate Q(-1, -3) 90 CCW

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Warm up Rotate P(-4, -4) 180 Rotate Q(-1, -3) 90 CCW If a function is odd and one point on it is R(-3, 4). Name another point. If a function is odd and one point on it is S(9, -10). Name another point.

Glide Reflections and Compositions

Compositions When two or more transformations are combined to produce a single transformation. The composition of 2 (or more) isometries is an isometry.

Glide Reflections Combining, a translation with a reflection. If the line of reflection is parallel to the direction of translation, then it does not matter which you do first. Otherwise, order is important.

1. Find the Image of a Glide Reflection Use the information below to sketch the image of QRS after a glide reflection. Q(2, –3), R(4, –4), and S(5, –1) Q’’(-2, 2) R’’(-4, 1) S’’(-5, 4)

2. Find the Image of a Composition Perform the following composition on C(2, 0), D(3, 3) C’(2, 0), D’(3, –3) C’’(0, –2) D’’(–3, –3)

3. Find the Image of a Composition Perform the Glide Reflection on A(–3, 5). A’(–6, 2) A’’(2, –6)

4. Describe the composition Rotation of 180° around the origin Reflection across y = 1