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How do you translate a shape on a coordinate plane?

To translate a shape on a coordinate plane, shift each vertex by the given horizontal and vertical amounts. For example, to translate a triangle left 3 units and up 1 unit, subtract 3 from the x-coordinate and add 1 to the y-coordinate of each vertex.

Conditions

  • Requires specifying the direction and distance of the shift.

Reasoning, step by step

  1. Identify the original coordinates of each vertex.
  2. Apply the translation rule to each vertex (e.g., subtract 3 from x, add 1 to y).
  3. Plot the new coordinates to form the translated shape.

Example

The video demonstrates translating triangle ABC left 3 and up 1 by shifting each vertex (A, B, and C) individually to their new positions (A', B', and C').

Common misconceptions

  • Forgetting to apply the translation to every vertex of the shape.

Watch the explanation

0:33 – 1:44Watch this moment ↗

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Answers are generated from source material and independently checked. Consult the original video or creator if something is unclear.