Rotations in the Coordinate Plane

The video tutorial covers the concept of rotations in the coordinate plane, focusing on identifying and performing rotations. It explains key vocabulary such as transformations, congruence, and the center of rotation. Real-world examples, like clock movements, are used to illustrate clockwise and counterclockwise rotations. The tutorial includes practice problems to help students apply the concepts learned, emphasizing the importance of understanding angles and directions in rotations.

What is the main focus of today's lesson?

• Rotations in the coordinate plane

• Translations in the coordinate plane

• Dilations in the coordinate plane

• Reflections in the coordinate plane

Which of the following is NOT a type of transformation?

• Translation

• Convergence

• Reflection

• Rotation

What is the term for the fixed point around which a figure rotates?

• Axis of symmetry

• Center of rotation

• Point of reflection

• Center of dilation

How is the direction of a rotation specified?

• By the angle of rotation

• By the center of rotation

• As clockwise or counterclockwise

• By the size of the figure

What is the term for the figure after a transformation?

• Pre-image

• Image

• Reflection

• Dilation

What does it mean for two figures to be congruent?

• They are mirror images

• They have different sizes but the same shape

• They have the same size and shape

• They have the same size but different shapes

What is the effect of a rotation on the congruence of a figure?

• It distorts the figure

• It maintains congruence

• It changes the size of the figure

• It changes the shape of the figure

What is the center of rotation in a coordinate plane?

• The perimeter

• The origin

• The x-axis

• The y-axis

What is the result of a 180° rotation in terms of direction?

• It must be specified as clockwise

• It results in a different position depending on direction

• It must be specified as counterclockwise

• It results in the same position regardless of direction

What is the angle of rotation for a 270° clockwise turn?

• 90°

• 360°

• 180°

• 270°