Reflection of Points and Shapes

The video tutorial explains how to reflect ordered pairs across different lines, including the x-axis, y-axis, and the line y=x. It covers the changes in coordinates required for each type of reflection and provides examples using triangle ABC. The tutorial also discusses the concept of preimage and image in reflections.

What is the first step in reflecting a point across the x-axis?

• Change the x-coordinate to its opposite

• Change the y-coordinate to its opposite

• Interchange the x and y coordinates

• Add 1 to both coordinates

When reflecting a point across the x-axis, what happens to a positive y-coordinate?

• It doubles

• It remains positive

• It becomes zero

• It becomes negative

What is the effect of reflecting a point with coordinates (3, -2) across the x-axis?

• (3, 2)

• (-3, -2)

• (3, -2)

• (-3, 2)

What is the effect of reflecting a point with coordinates (2, 3) across the x-axis?

• (-2, 3)

• (2, -3)

• (2, 3)

• (-2, -3)

How do you reflect a point across the y-axis?

• Multiply the x-coordinate by -1

• Multiply the y-coordinate by -1

• Add 1 to the x-coordinate

• Interchange the x and y coordinates

What happens to a negative x-coordinate when reflected across the y-axis?

• It remains negative

• It doubles

• It becomes zero

• It becomes positive

What is the effect of reflecting a point with coordinates (-4, 5) across the y-axis?

• (4, -5)

• (-4, 5)

• (-4, -5)

• (4, 5)

What is the effect of reflecting a point with coordinates (-5, -6) across the y-axis?

• (5, 6)

• (-5, 6)

• (5, -6)

• (-5, -6)

What is the process to reflect a point across the line y = x?

• Subtract 1 from both coordinates

• Add 1 to both coordinates

• Interchange the x and y coordinates

• Multiply both coordinates by -1

What is the slope of the line y = x?

• 0

• 1

• -1

• Undefined