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:
- Translate the point \( E(3,4) \) using the vector \( (-2, 1) \). What is the new coordinate?
- 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?
- \( E'(1,5) \)
- \( F'(4,1), G'(7,1), H'(7,3), \) and \( I'(4,3) \).
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