Podcast
Questions and Answers
What is the translation formula (x,y) ~ ?
What is the translation formula (x,y) ~ ?
What does the reflection formula y=x represent?
What does the reflection formula y=x represent?
(x,y) ~ (y,x)
How is a point reflected over the y-axis?
How is a point reflected over the y-axis?
(x,y) ~ (-x,y)
How is a point reflected over the x-axis?
How is a point reflected over the x-axis?
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What is the dilation formula for a scale factor of 2?
What is the dilation formula for a scale factor of 2?
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What is the rotation formula for 90 degrees counterclockwise?
What is the rotation formula for 90 degrees counterclockwise?
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What is the rotation formula for 180 degrees?
What is the rotation formula for 180 degrees?
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What is the rotation formula for 270 degrees clockwise?
What is the rotation formula for 270 degrees clockwise?
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What does vertical reflection mean?
What does vertical reflection mean?
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What does horizontal reflection mean?
What does horizontal reflection mean?
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What is the vertical reflection formula?
What is the vertical reflection formula?
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What is the horizontal reflection formula?
What is the horizontal reflection formula?
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Study Notes
Translation
- Transformation that shifts a figure horizontally and vertically.
- Formula: (x, y) ~ (x-4, y+7) indicates a left movement of 4 units and an upward movement of 7 units.
Reflection
- Reflection over the line y = x swaps the coordinates of a point.
- Formula: (x, y) ~ (y, x).
Reflection over the y-axis
- Flips the figure over the y-axis, changing the sign of the x-coordinate.
- Formula: (x, y) ~ (-x, y).
Reflection over the x-axis
- Flips the figure over the x-axis, changing the sign of the y-coordinate.
- Formula: (x, y) ~ (x, -y).
Dilation
- A transformation that alters the size of a figure by a scale factor.
- Example: Dilation by a scale factor of 2 is represented as (x, y) ~ (2x, 2y).
Rotation 90 degrees counterclockwise
- Changes the position of a point by rotating it 90 degrees in the counterclockwise direction.
- Formula: (-y, x).
Rotation 180 degrees
- Rotates a point to the opposite quadrant.
- Formula: (-x, -y).
Rotation 270 degrees
- Rotates a point 270 degrees counterclockwise, which is equivalent to a 90-degree clockwise rotation.
- Formula: (y, -x).
Vertical reflection
- Another term for reflection over the x-axis.
- The property causes flipping across the horizontal axis.
Horizontal reflection
- Refers to reflection over the y-axis.
- The property results in flipping across the vertical axis.
Vertical reflection formula
- Represents the transformation of a function across the x-axis.
- Formula: y = -f(x).
Horizontal reflection formula
- Represents the transformation of a function across the y-axis.
- Formula: y = f(-x).
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Description
Test your knowledge of geometric transformations with these flashcards. This quiz covers translation, reflection, dilation, and rotation formulas with definitions and examples. Perfect for students studying geometry.
