Transformations and Congruence in Geometry

The video covers various geometric transformations, including translations, rotations, reflections, and compositions. It explains how to identify and apply these transformations on grids and coordinate planes, and explores concepts like congruence and alternate interior angles. The lessons are designed for eighth-grade students, focusing on understanding and applying transformations in geometry.

What type of transformation involves moving a shape vertically or horizontally without rotating it?

• Rotation

• Translation

• Scaling

• Reflection

Which transformation involves flipping a shape over a line to create a mirror image?

• Translation

• Rotation

• Reflection

• Dilation

If a shape is rotated 90 degrees clockwise, what type of transformation is this?

• Reflection

• Translation

• Counterclockwise Rotation

• Clockwise Rotation

What is the result of reflecting a shape over the x-axis?

• The shape is flipped horizontally.

• The shape is flipped vertically.

• The shape is rotated 180 degrees.

• The shape is unchanged.

Which sequence of transformations can take a shape from one position to another without altering its size or shape?

• Dilation and Translation

• Reflection and Dilation

• Scaling and Rotation

• Translation and Reflection

What property do congruent shapes share?

• They have the same area but different shapes.

• They have the same shape and size.

• They have the same perimeter but different areas.

• They have different shapes and sizes.

How can you prove two shapes are congruent using transformations?

• By showing they have the same area.

• By using a sequence of rigid transformations.

• By measuring their angles.

• By comparing their perimeters.

What is the effect of a 180-degree rotation on a shape?

• The shape is flipped over a line.

• The shape is turned upside down.

• The shape is moved to a new position.

• The shape is enlarged.

Which transformation can change the orientation of a shape but not its size?

• Dilation

• Translation

• Rotation

• Reflection

What is the result of applying a sequence of transformations that includes a reflection and a rotation?

• The shape is resized.

• The shape is congruent to the original.

• The shape is translated.

• The shape is distorted.