6 th grade math. and-y-axes

7
Reflecting a Point across the x- or y-axis 6 th Grade Math

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Page 1: 6 th Grade Math.  and-y-axes

Reflecting a Point across the x- or y-axis6th Grade Math

Page 3: 6 th Grade Math.  and-y-axes

Reflecting a point over the x-axis

• Change the y-coordinate to its opposite.

Example:Plot (-2, 3) and its reflection across the x-axis.

Coordinates of reflection: (-2, -3)

Page 4: 6 th Grade Math.  and-y-axes

Reflecting a point over the y-axis

• Change the x-coordinate to its opposite.

Example:Plot (6, 2) and its reflection across the y-axis.

Coordinates of reflection: (-6, 2)

Page 5: 6 th Grade Math.  and-y-axes

Examples:

a) If (-7, -1) is reflected over the x-axis, what would be its new coordinates?

b)If (3, -10) is reflected over the y-axis, what would be its new coordinates?

Page 6: 6 th Grade Math.  and-y-axes

Henry plotted point X at (-3, 6). He then reflected this point over the x-axis and labeled this point Y. Then he reflected Point Y over the y-axis to get point Z. What is the ordered pair for point Z?

Point Y: ______Point Z: ______

Page 7: 6 th Grade Math.  and-y-axes

Let’s Review!!!• How are the coordinates of a point affected by a

reflection of the point over the x-axis?

The y-coordinate changes to its opposite.

• How are the coordinates of a point affected by a reflection of the point over the y-axis?

The x-coordinate changes to its opposite.