Reflection Yes No. Reflection Yes No Line Symmetry.

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Presentation transcript:

Reflection Yes No

Reflection Yes No

Line Symmetry

A figure has line symmetry if a line can be drawn on a it which creates two sides that are reflections of one another The red line (line of symmetry) creates two triangles which are reflections of one another. Therefore, this triangle has line symmetry

Do these figures have line symmetry? If so, draw the lines YES NO

Do these figures have line symmetry? If so, draw the lines YES NO

Do these figures have line symmetry? If so, draw the lines YES

Point out objects in this room that have line symmetry

Draw 1 figure that has 1 line of symmetry Draw one figure that has more than 1 line of symmetry

Line of Reflection When you reflect a figure in a line, the line is called the line of reflection

KEY CONCEPT To reflect a point in the x-axis, multiply its y- coordinate by -1 Ex: (x,y) turns into (x,-y) Ex: (2,3) turns into (2, -3) To reflect a point in the y-axis, multiply its x- coordinate by -1 Ex: (x,y) turns into (-x,y) Ex: (2,3) turns into -2,3)

Examples using Y axis Original Points: 1,3 1,1 3,1 3,3 Reflected Points: -1,3 -1,1 -3,1 -3,3 Multiply all the X Coordinates with -1

Examples using X axis Original Points: 1,3 1,1 3,1 3,3 Reflected Points: 1,-3 1,-1 3,-1 3,-3 Multiply all the Y Coordinates with -1

REFLECT THIS IMAGE ON THE X AXIS POINTS: -1,4 -1,1 -4,4

REFLECT THIS IMAGE ON THE X AXIS POINTS: -1,4 -1,1 -4,4 Reflected Points -1,-4 -1,-1 -4,-4

REFLECT THIS IMAGE ON THE Y AXIS POINTS: -1,4 -1,1 -4,4

REFLECT THIS IMAGE ON THE Y AXIS POINTS: -1,4 -1,1 -4,4 Reflected Points 1,4 1,1 4,4

GRAPH THESE POINTS THEN REFLECT THEM ON THE X AXIS 1,-1 4,-1 1,-3 4,-3

Correctly Graphed

Reflected Points: 1,1 4,1 1,3 4,1

Homework PAGE 434 Guided Practice #3 PAGE 435 Skill Practice # 6,7,8