Transformations in the Coordinate Plane

This video tutorial covers transformations in the coordinate plane, focusing on translations and reflections. It explains how translations move objects left, right, up, or down, and how reflections flip objects over the x-axis or y-axis. The tutorial includes examples with points and shapes to illustrate these concepts.

What are the two types of transformations discussed in this video?

• Rotations and Translations

• Scaling and Shearing

• Translations and Reflections

• Rotations and Dilations

In a translation, how can a point be moved on the coordinate plane?

• Left, right, up, or down

• Only left or right

• Only up or down

• Diagonally only

What is the term used for the original shape before a transformation is applied?

• Base form

• Initial shape

• Pre-image

• Post-image

When reflecting a point over the y-axis, which coordinate changes?

• Both coordinates change

• The y-coordinate changes

• Neither coordinate changes

• The x-coordinate changes

If a point (x, y) is reflected over the x-axis, what will be the new coordinates?

• (-x, -y)

• (x, y)

• (-x, y)

• (x, -y)

What happens to the y-coordinate when a point is reflected over the x-axis?

• It changes sign

• It becomes zero

• It remains the same

• It doubles

In a reflection over the y-axis, what happens to the x-coordinate?

• It doubles

• It becomes zero

• It changes sign

• It remains the same

Which transformation involves flipping a shape over a line?

• Reflection

• Dilation

• Rotation

• Translation

What is the result of reflecting a point (3, -2) over the y-axis?

• (3, -2)

• (-3, -2)

• (-3, 2)

• (3, 2)

How does a reflection over the x-axis affect the coordinates of a point?

• The y-coordinate is negated

• Neither coordinate is negated

• Both coordinates are negated

• The x-coordinate is negated