Understanding Translations: What Changes and What Stays the Same

This lesson covers the concept of translating a figure, specifically a parallelogram, and examines what changes and what remains constant during this transformation. Key vocabulary such as congruent line segments, congruent angles, and parallel lines are reviewed. The process of translating a parallelogram is demonstrated, and the use of prime notation is explained. The lesson investigates the congruence of line segments and angles after translation, confirms the preservation of parallelism, and discusses the change in position. New vocabulary terms related to geometric transformations are introduced.

What is the term used to describe line segments that have the same length?

• Intersecting line segments

• Perpendicular line segments

• Congruent line segments

• Parallel line segments

What is the result of translating a parallelogram to the right?

• A new shape with different angles

• A new shape with different line segments

• A new image called A prime, B prime, C prime, D prime

• A new shape with different parallelism

After translating a parallelogram, what remains unchanged?

• The size of the angles

• The color of the shape

• The length of the line segments

• The position of the shape

What is preserved in the image after translating a parallelogram?

• Parallelism of line segments

• The size of the shape

• The color of the shape

• The position of the shape

What is the term for a transformation that results from sliding a shape?

• Dilation

• Translation

• Reflection

• Rotation