Exploring Reflection Rules in Geometry

This video tutorial explains the rules of reflection in geometry, focusing on identifying lines of reflection and applying these rules to reflect points over the x-axis, y-axis, y=x, and y=-x. The tutorial provides examples for each type of reflection, demonstrating how to switch coordinates and change signs as needed. The video concludes with a summary of the reflection rules and encourages viewers to subscribe and like the content.

What is the first step in performing a reflection?

• Identify the coordinates of the point

• Identify the line of reflection

• Change the x-coordinate

• Change the y-coordinate

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

• It becomes negative

• It becomes positive

• It remains the same

• It is doubled

If a point (2, 2) is reflected over the x-axis, what is the new point?

• (2, 2)

• (-2, 2)

• (-2, -2)

• (2, -2)

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

• It becomes negative

• It becomes positive

• It is doubled

• It remains the same

If a point (-1, -2) is reflected over the y-axis, what is the new point?

• (1, 2)

• (1, -2)

• (-1, 2)

• (-1, -2)

What is the result of reflecting a point over the line y = x?

• The coordinates are switched

• The y-coordinate is doubled

• The x-coordinate is doubled

• The coordinates remain the same

If a point (2, 3) is reflected over the line y = x, what is the new point?

• (3, 2)

• (-3, -2)

• (2, 3)

• (-2, -3)

When reflecting a point over the line y = -x, what happens to the coordinates?

• Only the x-coordinate changes

• They are switched and both become negative

• They are switched and both become positive

• They remain the same

If a point (2, 3) is reflected over the line y = -x, what is the new point?

• (-2, -3)

• (-3, -2)

• (3, 2)

• (2, 3)

What is the line of reflection for the equation y = -x?

• A vertical line

• A horizontal line

• A line that goes from bottom-left to top-right

• A line that goes from top-left to bottom-right