Translations

Translations

Learning Target

• I can determine rules for translations on the coordinate plane.

Translations

• Identify the pre-image and the image.

• Point A is located at (-2, 3)

• Point A' is located at (4, 1)

• Point A was translated 6 units to the right and 2 units down.

• ( x + 6, y - 2)

Translations

• Translations involve addition and subtraction

• Adding to the x-axis moves figures to the right, whereas subtracting will move figures left.

• Adding to the y-axis moves figures up, while subtracting will move figures down.

Translations

• Determine the rule for translating the rectangle.

• Figure moved left 2 units, and down 4 units

• The rule will be ( x - 2, y - 4)

Translations

• Determine A' when the figure is translated 3 units right, and 2 units up.

• Use the grid to determine the new location.

• Or use the algebraic rule to determine the new rule.

• Point A (5, 5) - count the units or use the rule ( x + 3, y + 2)

• Point A' ( 8, 7 )

Multiple Choice

Determine the rule that translated the figure.

• ( x + 4, y - 3)

• ( x - 3, y + 4)

• ( x - 1, y + 0)

• ( x - 4, y - 4)