Lesson 2.3 Reflections.

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Presentation transcript:

Lesson 2.3 Reflections

Warm-Up #

Homework

Rules of Reflections Reflection x-axis y-axis y = x Find coordinates Pre-image to image (x, y)  (x,-y) (x, y)  (-x, y) (x, y)  (x, y) Find coordinates Multiply y coordinate by -1 Multiply x coordinate by -1 Interchange x and y coordinates

Reflects the figure over the y-axis Use the given rule to transform the figure. Then describe the transformation. Rule: (x, y)  (-x, y) 0pposite of x’s Preimage Image (1,3) (-1,3) (1,1) (-1,1) Reflects the figure over the y-axis (4,1) (-4,1)

Reflects the figure over the x-axis Use the given rule to transform the figure. Then describe the transformation. Rule: (x, y)  (x, -y) 0pposite of y’s Preimage Image (1,5) (1,-5) (1,3) (1,-3) Reflects the figure over the x-axis (4,3) (4,-3)

Use the given rule to transform the figure Use the given rule to transform the figure. Then describe the transformation. Rule: (x, y)  (y, x) Switch spot Preimage Image (4,5) (5,4) (2,1) (1,2) Reflect over y = x (4,1) (1,4)

Reflections across specific lines: To reflect a figure across the line y = a or x = a, mark the corresponding points equidistant from the line. i.e. If a point is 2 units above the line its corresponding image point must be 2 points below the line. Example: Reflect the fig. across the line y = 1. (2, 3)  (2, -1). (-3, 6)  (-3, -4) (-6, 2)  (-6, 0) Lesson 10-5: Transformations