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WorksheetsTransformation Geometry
Total questions: 15
Worksheet time: 8mins
What is a transformation in geometry?
A transformation involves changing the color of a shape in geometry
A transformation refers to the process of measuring angles in geometry
A transformation in geometry refers to the process of changing the position, size, or orientation of a shape.
A transformation is a type of shape in geometry
Name the four basic transformations in geometry.
scaling
rotation
stretching
translation, rotation, reflection, dilation
What is a translation?
A translation is the process of changing the size of a shape without moving it
A translation is the process of moving a shape from one location to another without changing its size, shape, or orientation.
A translation is the process of reflecting a shape over a line
A translation is the process of rotating a shape without changing its location
How is a reflection defined in geometry?
A reflection involves stretching a figure along a line
A reflection is a rotation of a figure around a point
A reflection is a translation of a figure to a new location
A reflection in geometry is a transformation that flips a figure over a line, creating a mirror image.
Explain the concept of rotation in transformation geometry.
Rotation always occurs around the center of the figure being rotated.
Rotation in transformation geometry is the process of turning a figure around a fixed point, known as the center of rotation, while keeping its size and shape unchanged.
Rotation in transformation geometry only applies to 2D shapes.
Rotation involves changing the size of a figure while keeping its shape constant.
What is a dilation in geometry?
A dilation is a reflection in geometry.
A dilation is a translation in geometry.
A dilation in geometry is a transformation that changes the size of a figure but not its shape.
A dilation is a rotation in geometry.
What is the difference between a rigid transformation and a non-rigid transformation?
The difference between a rigid transformation and a non-rigid transformation lies in whether they preserve distances and angles between points.
Non-rigid transformations only work in 2D space
The difference is in the color transformation applied
Rigid transformations involve stretching while non-rigid do not
How do you identify the center of rotation in a figure?
Identify the point that moves the most during rotation
Locate the point that remains fixed after rotation, which is the center of rotation.
Choose the point closest to the edge of the figure
Look for the smallest point in the figure
Define the term 'pre-image' in transformation geometry.
The pre-image in transformation geometry is the original shape or figure before any transformation is applied.
The pre-image is the rotation of the original shape
The pre-image is the reflection of the original shape
The pre-image is the final shape after transformation
What is the image of a point after a reflection over the x-axis?
The point with both x and y coordinates doubled
The image of a point after a reflection over the x-axis is the point with the same x-coordinate but the y-coordinate negated.
The point with both x and y coordinates negated
The x-coordinate negated but the y-coordinate remains the same
How can you determine if two figures are congruent using transformations?
By counting the number of sides in each figure
By measuring the perimeters of the figures
By applying a sequence of translations, rotations, and reflections to one figure to see if it matches the other figure, we can determine if they are congruent.
By comparing the areas of the figures
Explain the concept of enlargement in transformation geometry.
Enlargement in transformation geometry involves resizing a shape by a scale factor around a center point.
Enlargement is the translation of a shape along a vector.
Enlargement is the process of reflecting a shape over a line.
Enlargement involves rotating a shape around a center point.
What is the transformation rule for a reflection over the y-axis?
Negate the angle of reflection
Negate the z-coordinate
Negate the y-coordinate
Negate the x-coordinate
Describe the transformation rule for a rotation of 90 degrees counterclockwise about the origin.
Add 90 to both x and y coordinates
Swap (x, y) to (-y, x)
Swap (x, y) to (y, -x)
Multiply x and y by -1
How can you perform a dilation with a scale factor of 2 centered at the origin?
Add 2 to the x and y coordinates of each point.
Divide the x and y coordinates of each point by 2.
Multiply the x and y coordinates of each point by 2.
Rotate each point by 90 degrees.
