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Questions and Answers
What defines a rigid motion in geometry?
What defines a rigid motion in geometry?
- A transformation that keeps the distance between points the same. (correct)
- A transformation that changes the size of the figure.
- A transformation that only changes the color of the figure.
- A transformation that alters the angles of the figure.
Which of the following is a characteristic of a rotation transformation?
Which of the following is a characteristic of a rotation transformation?
- It flips the shape over a line.
- It changes the overall size of the shape.
- It moves each point in the shape a fixed distance in a straight line.
- It turns the shape around a fixed point. (correct)
What are the coordinates of the preimage 𝐴𝐵 if the image is 𝑇〈2,3〉?
What are the coordinates of the preimage 𝐴𝐵 if the image is 𝑇〈2,3〉?
- (−2,−3) (correct)
- (2,3)
- (4,6)
- (0,0)
What is the result of reflecting a shape across the line defined by the equation $y = x$?
What is the result of reflecting a shape across the line defined by the equation $y = x$?
In the point-slope form, how is the line of reflection for points 𝐴(−6,2) and 𝐴′(174, −118) defined?
In the point-slope form, how is the line of reflection for points 𝐴(−6,2) and 𝐴′(174, −118) defined?
What is a correct description of the double reflection that results in a translation?
What is a correct description of the double reflection that results in a translation?
Which statement about rotational symmetry is true?
Which statement about rotational symmetry is true?
What is the date displayed on the digital display?
What is the date displayed on the digital display?
What is the time displayed on the digital display?
What is the time displayed on the digital display?
What does the location indicator show?
What does the location indicator show?
The display includes a graphic for the Wi-Fi signal.
The display includes a graphic for the Wi-Fi signal.
The digital display shows numeric battery level.
The digital display shows numeric battery level.
Flashcards
Rigid Motion
Rigid Motion
A transformation that preserves lengths and angles of figures. It does not change the size or shape.
Rotation
Rotation
A transformation that turns a figure around a fixed point called the center of rotation.
Reflection
Reflection
A transformation that flips a figure across a line of reflection.
Translation
Translation
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Composition of Transformations
Composition of Transformations
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Line of Reflection/Symmetry
Line of Reflection/Symmetry
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Rotational Symmetry
Rotational Symmetry
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Transformation in Component Form
Transformation in Component Form
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Display Date
Display Date
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Current Time
Current Time
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Location Indicator
Location Indicator
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Wi-Fi Signal
Wi-Fi Signal
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Battery Level
Battery Level
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Study Notes
Rigid Motions
- Rigid motions preserve size and shape.
- Transformations that result in rigid motions include rotations, reflections, and translations.
Rotations
- Rotations involve turning a figure around a point.
- Specify the angle and the center of rotation.
- The examples provided involve 180-degree rotations about the origin and a point, and 90-degree and -90-degree rotations about the origin and a point.
Reflections
- Reflections involve flipping a figure across a line.
- The examples include reflections across the x-axis, the y-axis, and lines with specific equations.
Translations
- Translations involve sliding a figure a certain distance in a specific direction.
- They are also rigid motions.
Preimage and Image
- The original figure is the preimage.
- The resulting figure is the image.
Coordinates of Images
- The worksheet includes examples where you need to find the coordinates of the image of a given figure under specific transformations.
Line of Reflections
- The question also asks for equations of lines of reflection.
Composition of Transformations
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Questions involve more than one transformation that are applied in sequence
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Questions also involve transformations that can be applied as a single translation.
Rotational Symmetry
- Some figures have rotational symmetry where rotations map the figure to itself.
- Degrees of rotation (the smallest rotation which does this) in these situations are asked for.
Lines of Symmetry
- Lines of symmetry divide a figure into two identical halves.
- Figures may have no, one, or more lines of symmetry.
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Description
Explore the world of rigid motions through this quiz, which covers rotations, reflections, and translations. You'll learn about key concepts like preimages, images, and how to determine coordinates under various transformations. Test your understanding and solidify your knowledge of these important geometric concepts!
