Translations

What is a coordinate translation?

• Converting text to numerical coordinates

• Changing the color of coordinates

• Rotating coordinates around a fixed point

• Moving a set of coordinates from one position to another by a specified amount in both the x and y directions.

Explain how to perform a translation in the coordinate plane.

• Reflect the figure over the y-axis

• Translate the figure by adding or subtracting the same value to the x and y coordinates of each point.

• Rotate the figure by 90 degrees

• Change the color of the figure

If a point is translated 3 units to the right and 5 units up, what are the new coordinates?

(Write algebraically)

If a point is translated 2 units to the left and 4 units down, what are the new coordinates?

(Write algebraically)

Write a rule for the translation.

(Write algebraically)

Which rule would result in a translation of 2 units left and 3 units up?

(Write algebraically)

What rule describes the translation?

(Write algebraically)

Determine where T' would be if you translated T 3 units to the right and 6 units up.

• (5, 1)
• (2, -5)
• (-1, 1)
• (8, -2)

Translate J(3,-1), using (x,y)->(x-1,y-2)

Translate the point 8 units to the right.