Translation (Maneuvering the Middle)

Describe in words, how the figure at the right was translated. (Include how many unites and which direction.)

• The preimage was translated 8 units left and 6 units up

• The preimage was translated 6 units left and 8 units up.

• The preimage was translated 8 units right and 6 units down.

• The preimage was translated 6 units right and 8 units down.

Represent the translation algebraically:

• (x - 8, y +6)

• (y - 6, x + 8)

• (x - 6, y + 8)

• (x + 8, y - 6)

Label the following statements as true or false.

The figure was translated from Quadrant I (1) to Quadrant III (3).

• True

• False

Label the following statements as true or false.

The translation can be represented by (x + 8, y +7)

• True

• False

Label the following statements as true or false.

The orientation of the figure did not change.

• True

• False

Label the following statements as true or false.

The orientation of the vertices changed.

• True

• False

Label the following statements as true or false.

The image and the preimage are congruent.

• True

• False

Figure XYZ was translated as shown in the table of coordinates to the left.

Give the algebraic representation of the translation.

Hint: get a graph and plot the point if that helps.

• (y + 4, x - 9)

• (y - 4, x + 9)

• (x - 9, y + 4)

• (x + 9, y - 4)

Find the coordinates of the image after a translation 7 units to the left and 6 units up.

What is P'?

Hint: plot and translate the points may help.

• (5,9)

• (7, 12)

• (1,10)

Find the coordinates of the image after a translation 7 units to the left and 6 units up.

What is Q'?

Hint: plot and translate the points may help.

• (5,9)

• (7, 12)

• (1,10)