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This text provides a review of geometry transformations, focusing on reflections, translations, and rotations. It includes key terms and examples of reflections in the coordinate plane.
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Warm UpJanuary 27 Student 1 Quiz Scores:70, 85, 89, 78, 84, 75, 95 Find the measures of Center(Mean and Median) Find the measures of Spread(Range, IQR)
THIS WEEK • 1/27 – Transformations/Reflections • 1/28 – Translations • 1/29 – Rotations • 1/30 – Review • 1/31 – Quiz
Transformations A change in the position, size, and shape of a figure
Key Terms • Preimage – the original figure (A) • Image – the resulting figure after the transformation (A’) • Reflection – reflects or “flips” across a line (r) • Translation - Shifts or Slides every point the same distance (T) • Rotation - rotates or turns about a point (R)
Reflections • An isometry transformation. • Isometry - a transformation that does not change the size and shape of the figure • Line of reflection is the perpendicular bisector of each segment joining each point and its image
Reflect the figure with the given vertices across the given line. 1.A(2, 3), B(–1, 5), C(4,–1); y = x A’(3, 2), B’(5,–1), C’(–1, 4) 2.U(–8, 2), V(–3, –1), W(3, 3); y-axis U’(8, 2), V’(3, –1), W’(–3, 3) 3.E(–3, –2), F(6, –4), G(–2, 1); x-axis E’(–3, 2), F’(6, 4), G’(–2, –1)