Understanding Rotation Rules

The video tutorial explains how to remember rotation rules using the concept of quadrants. It starts by introducing the quadrants and their signs, then explains how to apply rotation rules by associating them with these quadrants. The tutorial provides examples of rotating figures by different degrees and offers tips for visual learners to memorize these rules effectively.

Which of the following describes the sign convention in the first quadrant?

• Positive, Positive

• Negative, Positive

• Negative, Negative

• Positive, Negative

How are the quadrants arranged in terms of sign conventions?

• Like a letter Z

• Like a letter C

• Like a letter S

• Like a letter L

What is the rule for rotation in the third quadrant?

• x, y

• -x, y

• x, -y

• -x, -y

Which quadrant transformation involves switching x and y and changing the signs?

• First quadrant

• Second quadrant

• Third quadrant

• Fourth quadrant

When rotating 90 degrees clockwise, what transformation is applied to the coordinates?

• x, y becomes y, -x

• x, y becomes -y, x

• x, y becomes -x, -y

• x, y becomes x, y

What is the result of rotating a point 90 degrees clockwise?

• x, y becomes y, -x

• x, y becomes -x, -y

• x, y becomes x, y

• x, y becomes -y, x

If a figure is rotated 270 degrees counterclockwise, what is the resulting transformation?

• x, y becomes x, y

• x, y becomes -x, -y

• x, y becomes y, -x

• x, y becomes -y, x

What is the transformation rule for a 180-degree rotation?

• x, y becomes y, -x

• x, y becomes -x, -y

• x, y becomes x, y

• x, y becomes -y, x

Which rotation does not change the rule whether clockwise or counterclockwise?

• 270 degrees

• 90 degrees

• 180 degrees

• 360 degrees

What happens to the coordinates when a figure is rotated 90 degrees counterclockwise?

• x, y becomes -y, x

• x, y becomes y, -x

• x, y becomes -x, -y

• x, y becomes x, y