Exploring Rational Expressions: Addition and Subtraction

This video tutorial covers the concepts of translations and reflections in geometry. It begins with setting up coordinates for a figure and demonstrates how to translate the figure by moving it up, down, left, or right. The tutorial explains the rules for translating coordinates and how these movements affect the x and y values. It then introduces reflections, showing how to use tracing paper to reflect shapes over the y-axis and x-axis, and discusses how the signs of coordinates change during these reflections.

What are the original coordinates of point Q in figure QLU?

• (0, 1)

• (3, 1)

• (1, 0)

• (1, 3)

After translating figure QLU, what is the new coordinate of point L?

• (2, 3)

• (3, 2)

• (3, 4)

• (4, 3)

By how many units is the x-coordinate of point U changed after the translation?

• 2 units

• No change

• 1 unit

• 3 units

What operation is performed on the y-coordinates during the translation?

• Subtracted by 2

• Added by 2

• Multiplied by 2

• No change

What happens to the x-coordinates when figure QLU is reflected over the y-axis?

• They are unchanged

• They are multiplied by -1

• They are added by 1

• They are divided by 2

Which point remains unchanged after reflecting over the y-axis?

• All points change

• Point U

• Point L

• Point Q

What is the new coordinate of point Q after reflecting over the x-axis?

• (1, -3)

• (-1, 3)

• (1, 3)

• (-1, -3)

How does the y-coordinate of point L change after reflection over the x-axis?

• It becomes positive

• It becomes negative

• It doubles

• It remains the same

What is the effect on the y-values when reflecting a figure over the x-axis?

• They increase by one

• No change

• They change sign

• They decrease by one

What general rule can be derived about the x-coordinates when reflecting over the y-axis?

• They remain the same

• They change sign

• They halve

• They double