The Leaner Twins LeftyRighty Graphing Transformations 2 Reflection - flipping a shape across a line so it faces the opposite direction.

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Presentation transcript:

The Leaner Twins LeftyRighty

Graphing Transformations 2 Reflection - flipping a shape across a line so it faces the opposite direction.

figureimage y x A reflection of ABCD in the y-axis A B C D A’ B’ C’ D’

y x A reflection of ABC in the y-axis A B C A’ B’ C’ A reflection of ABCD in the x-axis D D’

y x A’ B’ C’ A reflection of ABCD across a mirror line D’ A B C D mirror line

How are a figure and its reflection image alike? They are congruent.

How are a figure and its reflection image different? They have different orientations. If ABCD is read clockwise, A’B’C’D’ is read counter-clockwise.

How do you identify a reflection? Check that corresponding points are the same distance from the mirror line.

y x A reflection of ABCD in the y-axis Coordinates A B C D A(-4,1) B(-2,3) C(0,2) D(-1,0) A’(4,1) B’(2,3) C’(0,2) D’(1,0) A’ B’ C’ D’

What patterns do you see in the coordinates of the figure and its image? y-coordinates are the same because the shape does not go up or down x-coordinates are the opposite because the shape was reflected in the y-axis

y x A reflection of ABC in the y-axis A B C A’ B’ C’ A reflection of ABCD in the x-axis D D’ Coordinates A(-4,1) B(-2,3) C(0,2) D(-1,0) A’(-4,-1) B’(-2,-3) C’(0,-2) D’(-1,0)

What patterns do you see in the coordinates of the figure and its image? x-coordinates are the same because the shape does not go left or right y-coordinates are the opposite because the shape was reflected in the x-axis

y x A’ B’ C’ A reflection of ABCD across a mirror line D’ A B C D Coordinates A(-4,1) B(-2,3) C(0,2) D(-1,0) A’(1,-4) B’(3,-2) C’(2,0) D’(0,-1)

What pattern do you see in the coordinates of the figure and its image? x-coordinates and y-coordinates switch places

y x A B C Reflect ABCD across the y-axis and x-axis. D

y x A B C Reflect ABCD across the mirror line. D