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Reflection on the Coordinate Plane
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Describe the movement to superimpose one figure over the other
The y-axes is also the line x = 0 The x-axes is also the line y = 0 1. Select the shape 2. From the drop down select Reflect Shape 3. Select the line over which to reflect A reflection (flip) over the y-axis (the line X=0)
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What do you notice about the original and the reflected triangle?
Touch the red triangle. From the drop down select Show/Hide Vertex Points C C' A' A B' B What happens to the coordinates of triangle ABC when it is reflected over the y-axis?
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Summary: Reflection over the y-axis
B' B A(3,4) A'(-3,4) B(6,2) B'(-6,2) C(6,6) C'(-6,6) (x,y) (-x,y)
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Describe the movement to superimpose one figure over the other
The y-axes is also the line x = 0 The x-axes is also the line y = 0 1. Select the shape 2. From the drop down select Reflect Shape 3. Select the line over which to reflect A reflection (flip) over the x-axis (the line Y=0)
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What do you notice about the original and the reflected triangle?
Touch the red triangle. From the drop down select Show/Hide Vertex Points C A B A' B' C' Label the image
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Summary: Reflection over the x-axis
A(3,4) A'(3,-4) B(6,2) B'(6,-2) C(6,6) C'(6,-6) A B (x,y) (x,-y) B' A' C'
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B" (____,____) B" Reflect rectangle ABCD over:
Use the Pen Tool to complete the coordinate pairs. Drag the letters to label each image. Touch rectangle ABCD and Reflect Shape over a) x = 0 b) y = 0 Reflect rectangle ABCD over: a) the y-axis b) the x-axis a) A' (____,____) A' A B B' (____,____) B' C' C' (____,____) D C D' (____,____) D' b) A" (____,____) A" B" (____,____) B" C" (____,____) C" D" (____,____) D"
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Solution B' A' A B C' D' D C D" C" A" B"
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B" (____,____) B" Reflect triangle ABC over:
Use the Pen Tool to complete the coordinate pairs. Drag the letters to label each image. Touch triangle ABC and Reflect Shape over a) x = 0 b) y = 0 Reflect triangle ABC over: a) the y-axis b) the x-axis a) A' A' (____,____) B' (____,____) B' C' C' (____,____) C B b) A" (____,____) A" B" (____,____) B" A C" (____,____) C"
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Solution A" C" B" C B B' C' A A'
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Describe the reflection
Use Reflect Shape to check your answer A reflection over the line y=x
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