Goal: The learner will reflect a figure in any given line.

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Presentation transcript:

Goal: The learner will reflect a figure in any given line. Lesson 9.3 Goal: The learner will reflect a figure in any given line.

Reflection A transformation that uses a line to create a mirror to reflect the image. Line of Reflection: the line preimage is reflected over. It is an isometry P c P’ c

Possible Reflections P P’ P P’ Q Q’ Q Q’ P’ P Q’ P’ P Q Q Q’

The vertices of Δ𝐴𝐵𝐶 A(1,3), B(5, 2) and C(2,1) Reflect over x = 3

The vertices of Δ𝐴𝐵𝐶 A(1,3), B(5, 2) and C(2,1) Reflect over y = 1

Reflection Rule Reflect over x-axis: (a, -b) Reflect over y-axis: (-a, b) Reflect over y = x: (b, a) Reflect over y = -x: (-b, -a)

Reflect over y = x. 𝐹𝐺 , F(-1, 2) and G(1, 2)

Example Time Reflect F(-1, 2) and G(1, 2) over y = -x

Assignment P. 593 #3-5, 9, 10, 15, 22