Exploring Rigid Transformations

The lesson covers rigid transformations, including rotations, reflections, and translations. It explains the concept of corresponding parts, such as sides and angles, and how they remain unchanged in rigid transformations. Examples are provided to illustrate identifying transformations and corresponding parts. The lesson concludes with an exit ticket to reinforce understanding.

What are the three types of rigid transformations discussed?

• Translation, Rotation, Distortion

• Dilation, Reflection, Contraction

• Rotation, Reflection, Translation

• Scaling, Rotation, Translation

Which transformation involves a flip of the figure?

• Translation

• Rotation

• Reflection

• Shearing

In the provided example, what type of transformation was applied to figure ABCDEF to get figure PQRSTU?

• Translation

• Reflection

• Rotation

• None of the above

What transformation is described as a slide?

• Reflection

• Rotation

• Dilation

• Translation

What does it mean for parts to be corresponding in different figures?

• They have different sizes.

• They are not related.

• They are in similar positions relative to each figure.

• They are always congruent.

How do the lengths of corresponding sides compare in rigid transformations?

• They are longer.

• They are shorter.

• They remain the same.

• They become irregular.

What is the relationship between corresponding angles in rigid transformations?

• They are supplementary.

• They are opposite.

• They are complementary.

• They are congruent.

If side AB is parallel to side FE in a figure, what can be said about their corresponding sides after a rigid transformation?

• They are no longer parallel.

• They intersect.

• They remain parallel.

• They are perpendicular.

Why is it important to identify corresponding parts in transformations?

• All of the above.

• To understand the properties of the shapes.

• To confirm the type of transformation.

• To ensure figures are congruent.

In the exit ticket, what are students asked to demonstrate with the transformation of figure JKLMN?

• That the transformation is non-rigid.

• That the transformation changes the figure size.

• That the figure and image are the same size and shape.

• That the figure and image are completely different.