Understanding Transformations in the XY Plane

The video tutorial explores different types of transformations in the xy-plane, including reflection, rotation, and translation. It begins by discussing a mapping where points on a line map to themselves, indicating a reflection. The tutorial then provides an example of rotation involving a circle and a specific angle. Finally, it explains translation by describing how a circle's center is shifted while maintaining its radius.

What transformation is suggested when each point on a line maps to itself?

• Dilation

• Reflection

• Rotation

• Translation

If a point not on a line maps to a new point such that the line is the perpendicular bisector, what transformation is this?

• Rotation

• Reflection

• Translation

• Shear

In the context of a circle, what transformation involves a counterclockwise angle of 137 degrees?

• Reflection

• Rotation

• Translation

• Scaling

What is the transformation called when a point on a circle is rotated around the center by a specific angle?

• Translation

• Rotation

• Reflection

• Dilation

What transformation is described when a circle's center is shifted but the radius remains the same?

• Rotation

• Scaling

• Reflection

• Translation

Which transformation involves moving every point of a shape the same distance in the same direction?

• Translation

• Rotation

• Reflection

• Dilation

What is the result of a transformation where the center of a circle is moved to a new location?

• Shear

• Translation

• Rotation

• Reflection

Which transformation keeps the size and shape of a figure but changes its position?

• Reflection

• Rotation

• Translation

• Dilation

What transformation is characterized by a change in position without altering the shape or size of the figure?

• Reflection

• Rotation

• Translation

• Scaling

Which transformation involves shifting a figure horizontally and vertically?

• Dilation

• Translation

• Rotation

• Reflection