Transformations and Their Properties

The video tutorial covers congruent figures and the transformations that can make figures congruent, such as translations, reflections, and rotations. It provides detailed steps for transforming specific figures using these methods. The tutorial also explains the concept of rotations, including positive and negative rotations, and concludes with a transition to the next module on dilations.

What is a key characteristic of congruent figures?

• They have different sizes but the same shape.

• They have the same size and shape.

• They have the same size but different shapes.

• They have different sizes and shapes.

Which transformation does NOT change the size of a figure?

• Scaling

• Translation

• Dilation

• Shearing

What is the result of reflecting a point across the x-axis?

• Both coordinates change sign.

• The y-coordinate changes sign.

• The x-coordinate changes sign.

• Neither coordinate changes sign.

To transform figure A into figure B, which sequence of transformations is used?

• Translate down, then reflect over the x-axis.

• Reflect over the y-axis, then translate left.

• Rotate 90 degrees, then translate up.

• Reflect over the x-axis, then translate right.

What is the effect of a 90-degree counterclockwise rotation on a point?

• The coordinates swap places and the new y-coordinate becomes negative.

• The coordinates swap places and the new x-coordinate becomes negative.

• The y-coordinate becomes negative and the x-coordinate stays the same.

• The x-coordinate becomes negative and the y-coordinate stays the same.

How do you transform figure C into figure D?

• Rotate 90 degrees counterclockwise, then translate up and right.

• Rotate 90 degrees clockwise, then translate left.

• Reflect over the x-axis, then translate up.

• Reflect over the y-axis, then translate down.

What is the sequence of transformations for figure E to figure F?

• Reflect over the x-axis, then translate right.

• Rotate 90 degrees clockwise, then translate up.

• Rotate 90 degrees counterclockwise, then translate down.

• Reflect over the y-axis, then translate left.

What happens to a figure when it is rotated about the origin?

• It moves closer to the origin.

• It maintains the same distance from the origin.

• It changes shape but not size.

• It changes size but not shape.

What is the rule for a 180-degree rotation?

• Multiply both coordinates by -1 and swap them.

• Multiply both coordinates by -1 and do not swap them.

• Multiply the x-coordinate by -1 and swap them.

• Multiply the y-coordinate by -1 and do not swap them.

What is the result of a 90-degree clockwise rotation on a point?

• The x-coordinate becomes negative and the y-coordinate stays the same.

• The coordinates swap places and the new y-coordinate becomes negative.

• The y-coordinate becomes negative and the x-coordinate stays the same.

• The coordinates swap places and the new x-coordinate becomes negative.