Exploring Shape Properties Through Transformations

The video explores how different transformations affect angle measures and segment lengths. It discusses rigid transformations like translation, reflection, and rotation, which preserve both angles and lengths. However, non-rigid transformations like dilation and vertical stretch do not preserve these properties. Through examples, the video illustrates how sequences of transformations impact geometric properties.

What is preserved in a rigid transformation?

• Only segment lengths

• Neither segment lengths nor angle measures

• Only angle measures

• Both segment lengths and angle measures

Which of the following transformations is not rigid?

• Rotation

• Reflection

• Vertical stretch

• Translation

What happens to angle measures during a vertical stretch?

• They remain the same

• They double

• They become zero

• They change

In the first example, which transformation does not preserve segment lengths?

• Translation

• Reflection

• Vertical stretch

• Rotation

What is the effect of a vertical stretch on segment lengths?

• They double

• They become zero

• They change

• They remain the same

In the second example, what is preserved after all transformations?

• Neither segment lengths nor angle measures

• Both segment lengths and angle measures

• Only angle measures

• Only segment lengths

Which transformation in the second example is not rigid?

• Reflection

• Translation

• Rotation

• None of the above

In the third example, which transformation does not preserve segment lengths?

• Translation

• Reflection

• Rotation

• Dilation

What is preserved during a dilation?

• Only segment lengths

• Only angle measures

• Both segment lengths and angle measures

• Neither segment lengths nor angle measures

After a dilation followed by a rotation and reflection, what is preserved?

• Neither segment lengths nor angle measures

• Only segment lengths

• Both segment lengths and angle measures

• Only angle measures