Exploring Properties of Rigid Transformations

What type of transformations are rotations and reflections classified as?

• Irregular transformations

• Rigid transformations

• Non-rigid transformations

• Linear transformations

What remains unchanged in a rigid transformation?

• Orientation of the shape

• Length between corresponding points

• Coordinates of points

• Color of the shape

In the rotation example, what is the radius of the circle before and after the transformation?

• 1 before and 1 after

• 2 before and 2 after

• 3 before and 3 after

• 4 before and 4 after

Which of the following is preserved in a circle undergoing a rotation?

• Color

• Area

• Texture

• Position

What happens to the coordinates of the center of a circle after a rotation?

• They become undefined

• They remain the same

• They change

• They disappear

In a reflection, what happens to the coordinates of points not on the line of reflection?

• They are doubled

• They are halved

• They are swapped

• They remain unchanged

Which property is NOT preserved in a reflection transformation?

• Coordinates

• Perimeter

• Angle measures

• Side lengths

What is true about the side lengths in a reflection of a quadrilateral?

• They remain the same

• They increase

• They decrease

• They become zero

What does the reflection across the line x=y do to the coordinates?

• Swaps x and y coordinates

• None of the above

• Makes x and y coordinates equal

• Eliminates y coordinates

After reflecting a shape across a line, which of the following might change?

• Color of the shape

• Texture of the shape

• Relationships to external lines

• None of the above