Algebraic Transformations and Reflections

The video reviews algebraic transformations, focusing on translations, reflections, and rotations. It explains how to express these transformations algebraically and provides examples for each. Translations involve moving figures on a coordinate plane, reflections involve flipping figures over axes, and rotations involve turning figures around the origin. The video also covers how to determine the effects of these transformations on coordinate pairs.

What are the three types of algebraic transformations discussed in the video?

• Rotations, Dilations, Reflections

• Reflections, Dilations, Translations

• Translations, Dilations, Rotations

• Translations, Reflections, Rotations

In a translation, moving to the right on the x-axis results in which algebraic operation?

• Adding to y

• Subtracting from x

• Adding to x

• Subtracting from y

What is the algebraic expression for moving three units to the left and one unit down?

• (x + 3, y + 1)

• (x - 3, y + 1)

• (x - 3, y - 1)

• (x + 3, y - 1)

If a point is translated one unit to the right and four units up, what is the new expression?

• (x - 1, y - 4)

• (x + 1, y + 4)

• (x + 1, y - 4)

• (x - 1, y + 4)

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

• It doubles

• It changes sign

• It stays the same

• It halves

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

• Both coordinates

• y-coordinate

• Neither coordinate

• x-coordinate

What is the new coordinate of (3, 2) when reflected over the x-axis?

• (3, 2)

• (3, -2)

• (-3, -2)

• (-3, 2)

If a triangle is reflected over the y-axis, what happens to the x-coordinates?

• They halve

• They stay the same

• They change sign

• They double

What is the main point around which rotations are performed?

• The midpoint

• The y-axis

• The x-axis

• The origin

In which direction are the quadrants labeled on a coordinate plane?

• Clockwise

• Counterclockwise

• Vertically

• Horizontally