Transformation Geometry

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