Exploring Transformations in Geometry

The video tutorial covers the concept of transformations in geometry, focusing on translations, reflections, rotations, and dilations. It uses examples from video games, particularly Mario, to illustrate these transformations. The tutorial explains how to write transformation rules using algebraic notation and provides practice problems to reinforce learning.

What is a transformation in the context of geometry?

• A change in the type of an image

• A change in the position or orientation of an image

• A change in the color of an image

• A change in the size of an image

Which of the following is NOT a type of transformation discussed in the video?

• Reflection

• Scaling

• Translation

• Rotation

What happens to an image during a reflection?

• It changes size

• It slides to a new position

• It flips over a line

• It rotates around a point

In a rotation, which direction do we most commonly rotate?

• Counterclockwise

• Downwards

• Upwards

• Clockwise

What is a dilation in geometric transformations?

• Flipping an image

• Sliding an image

• Changing the size of an image

• Rotating an image

What is the pre-image in a transformation?

• The midpoint of the transformation

• The image before the transformation

• The vector used in the transformation

• The image after the transformation

How do you write the rule for moving a point 4 units to the right and 2 units down?

• x + 4, y + 2

• x - 4, y - 2

• x + 4, y - 2

• x - 4, y + 2

What does the notation (x, y) -> (x + a, y + b) represent?

• A reflection

• A rotation

• A translation

• A dilation

In the shorthand notation for translations, what does T(3, -2) mean?

• Move 3 units left and 2 units up

• Move 3 units right and 2 units down

• Move 3 units down and 2 units right

• Move 3 units up and 2 units left

What is an isometry in the context of transformations?

• A transformation that changes the size of an image

• A transformation that changes the shape of an image

• A transformation where the pre-image and image are congruent

• A transformation that flips the image