9.3 Perform Reflections Mrs. vazquez Geometry.

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Presentation transcript:

9.3 Perform Reflections Mrs. vazquez Geometry

g.co.5 Essential Question: How can we use Algebra to reflect figures on a coordinate plane? Objective: Students will be able to reflect images on any given line.

Reflect ∆ABC A (1,3) B (5,2) C (2,1) Over the line: y = 4 x = -3

Reflect Algebraically If A(x, y) is reflected: over the x-axis, then A’(x, -y) over the y-axis, then A’(-x, y) over line y = x, then A’(y, x) over line y = -x, then A’ (-y, -x) A(1,3) B(4,4) C(3,1) Reflect ∆ABC over y = x Reflect ∆ABC over y = -x

Reflect using matrices Reflect over x-axis. *Multiply using matrix 1 0 0 -1 Reflect over y-axis. *Multiply using matrix -1 0 0 1

l(-3,3) m(1,2) n(-2,1) Reflect ∆LMN over x-axis. Reflect ∆LMN over y-axis.