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9.3 Perform Reflections Example 1: Graph the reflections in horizontal and vertical lines The vertices of ∆ABC are A(1,3), B(5,2), and C(2,1). Graph the reflection of ∆ABC described. a. Line of reflection: x=3 b. Line of reflection: y = 1 Example 2: Graph a reflection in y = x and y = -x The vertices of ∆FGH are F(-1, 2), G(1,2), and H(-1,1). Graph the reflection of ∆FGH described. a. Line of reflection: y = x b. Line of reflection: y = -x Example 3: Graph two reflections The vertices of ∆FGH are F(3,2), G(1,5), and H(-1,2). Reflect ∆FGH in the first line. Then reflect ∆F’G’H’ in the second line. First Line of Reflection: y = 2 Second Line of Reflection: y = -1 Coordinate Rules for Reflection If (a,b) is reflected in the x-axis, its image is the point (a,-b) If (a,b) is reflected in the y-axis, its image is the point (-a,b) If (a,b) is reflected in the line y = x, its image is the point (b,a) If (a,b) is reflected in the line y = -x, its image is the point (-b,-a)