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Explore glide reflections, compositions, and combinations of transformations with practice exercises and examples. Enhance your understanding of isometries, compositions, and symmetry in geometry. Get ready to master transformation skills!
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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.
Skills Check You can do this!
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. Finding 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. Finding 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. Finding the Image of a Composition A’(–6, 2) Perform the Glide Reflection on A(–3, 5). A’’(2, –6)
4. Describing the composition • Rotation of 180° around the origin • Reflection across y = 1
Class Work Combinations of Transformations Practice WS and Bridget Blockhead WS
Home Work Symmetry of Language WS