Geometric Transformations and Properties

The video tutorial explains how animation and translation work, focusing on translating a parallelogram. It reviews key vocabulary such as congruent line segments, angles, and parallel lines. The process of translating a parallelogram is demonstrated, using prime notation to indicate new positions. The tutorial investigates what changes and what remains the same, confirming that line segments and angles remain congruent, and parallelism is preserved, while the position changes. New vocabulary terms like pre-image, transformation, and translation are introduced.

What is the mathematical term for moving a shape left, right, up, or down?

• Reflection

• Translation

• Rotation

• Dilation

What does it mean for line segments to be congruent?

• They intersect

• They have the same length

• They are parallel

• They are perpendicular

What is the significance of prime notation in geometry?

• Denotes a shape is dilated

• Shows a shape is reflected

• Indicates a shape is rotated

• Marks a new position after translation

What is the original figure called before translation?

• Image

• Pre-image

• Reflection

• Post-image

After translating a parallelogram, what remains unchanged?

• Angle measures

• Position

• Size

• Color

What is preserved when a shape is translated?

• Color

• Texture

• Parallelism

• Position

How do you verify if angles are congruent after translation?

• Measure with a protractor

• Slide and fit

• Use a compass

• Check with a ruler

What happens to the position of a shape when it is translated?

• It remains the same

• It becomes smaller

• It changes

• It becomes larger

Which of the following is a transformation that results from a slide?

• Dilation

• Translation

• Rotation

• Reflection

What is the result of a geometric transformation called?

• Dilation

• Reflection

• Image

• Pre-image