Exploring Rational Expressions: Addition and Subtraction

The video tutorial covers three main types of transformations in geometry: reflections, translations, and dilations. Reflections involve flipping a figure over an axis, changing the sign of coordinates. Translations shift a figure's position without altering its orientation, affecting the x or y values. Dilations change the size of a figure based on a scale factor, either enlarging or reducing it. The tutorial includes examples and explanations for each transformation type, helping students understand how to apply these concepts in geometry.

What happens to a figure when it is reflected over the X-axis?

• The figure moves to a new position.

• The size of the figure changes.

• The Y values of its points change sign.

• The X values of its points change sign.

If a point is reflected over the Y-axis, what changes occur?

• The point becomes larger.

• The X values of the point change sign.

• The Y values of the point change sign.

• The point moves closer to the Y-axis.

What does translating a shape right 5 units do to its X value?

• Divides the X value by 5.

• Multiplies the X value by 5.

• Adds 5 to the X value.

• Subtracts 5 from the X value.

Translating a shape down 3 units affects which value?

• Increases the Y value by 3.

• Decreases the Y value by 3.

• Increases the X value by 3.

• Decreases the X value by 3.

What is the result of translating a point left 4 units?

• Y value increases by 4.

• Y value decreases by 4.

• X value increases by 4.

• X value decreases by 4.

How does a dilation with a scale factor of 2 affect a figure?

• It changes the orientation of the figure.

• It doubles the size of the figure.

• It reduces the size of the figure by half.

• It moves the figure 2 units to the right.

What effect does a scale factor of 1/2 have on a figure?

• It doubles the size of the figure.

• It reduces the size of the figure by half.

• It quadruples the size of the figure.

• It moves the figure to a new position.

If a figure is dilated with a scale factor of 1/3, what happens?

• The figure becomes 3 times larger.

• The figure becomes 3 times smaller.

• The figure moves 3 units to the right.

• The figure's orientation changes.

What does a scale factor greater than 1 do to a figure?

• Decreases its size.

• Changes its orientation.

• Increases its size.

• Moves it to a new position.

A scale factor of less than 1 will result in the figure becoming:

• Moved to a new position.

• Rotated.

• Smaller.

• Larger.