Questions and Answers
What is the formula for reflection in the x-axis?
What is the formula for reflection in the y-axis?
What is the formula for reflection in y = x?
What is the formula for reflection in y = -x?
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What is the formula for translation on a coordinate plane?
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What is the formula for a 90 degree rotation?
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What is the formula for a 180 degree rotation?
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What is the formula for a 270 degree rotation?
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Study Notes
Reflection Formulas
- Reflection in the x-axis: Changes the y-coordinate's sign while keeping the x-coordinate the same, represented as (x, y) -> (x, -y).
- Reflection in the y-axis: Changes the x-coordinate's sign while retaining the y-coordinate, detailed as (x, y) -> (-x, y).
- Reflection in the line y = x: Swaps the x and y coordinates, noted as (x, y) -> (y, x).
- Reflection in the line y = -x: Swaps and negates both coordinates, expressed as (x, y) -> (-y, -x).
Translation Formula
- Translation on a coordinate plane: Moves a point horizontally and vertically by adding specific values to the coordinates, formulated as (x, y) -> (x + a, y + b).
Rotation Formulas
- 90-degree rotation: Converts coordinate (x, y) to (-y, x), effectively rotating the point counterclockwise.
- 180-degree rotation: Rotates points to the opposite direction in a straightforward manner, shown as (x, y) -> (-x, -y).
- 270-degree rotation: Turns points clockwise to (-y, x), altering their positions in the plane accordingly.
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Description
Test your knowledge of important geometry transformations such as reflection, translation, and rotation with these flashcards. Each card provides a definition and formula for various types of transformations on a coordinate plane.