Translations

Question 1

What is a Translation?

Answer 1

A translation is a transformation where all the points of a figure are moved the same distance in the same direction. A translation is an isometry, so the image of a translated figure is congruent to the preimage.

Question 2

What is a Vector Translation?

Answer 2

A transformation along a vector such that each segment joining a point and its image has the same length as the vector and is parallel to the vector.

Question 3

What are the Translation Rules?

Answer 3

Horizontal along vector- (a, 0); P(x, y) -> P’(x+a, y).

Vertical along vector- (0, b); P(x, y) -> P’(x, y+b).

General along vector- (a, b); P(x, y) -> P’(x+a, y+b).