Mastering Translations on the Coordinate Plane: A Step-by-Step

• Identify the Starting Point: If you’re translating a single point, note its coordinates. For a shape, identify all the vertex coordinates.
• Apply the Vector: Add the vector’s x-coordinate to the x-coordinates of your points and the vector’s y-coordinate to the y-coordinates.
• Plot the Translated Point or Shape: Once the new coordinates are found, plot them on the coordinate plane.

Examples

Practice Questions:

1. Translate the point \( E(3,4) \) using the vector \( (-2, 1) \). What is the new coordinate?
2. Given a rectangle with vertices \( F(1,1), G(4,1), H(4,3), \) and \( I(1,3) \), translate it using vector \( (3, 0) \). What are the new vertex coordinates?

1. \( E'(1,5) \)
2. \( F'(4,1), G'(7,1), H'(7,3), \) and \( I'(4,3) \).

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