Reflection Across the Line y = x

The video tutorial explains how to perform a reflection of a point across the line y = x. It begins by describing the line y = x as a diagonal line across the x and y axes. The tutorial then explains that reflecting a point across this line involves swapping the x and y coordinates. An example is provided using the point (-12, 6), demonstrating the process of reflection and verifying the result. The tutorial concludes by emphasizing the symmetry of the reflection process.

What is the orientation of the line y = x on a graph?

• Horizontal line

• Curved line

• Vertical line

• Diagonal line

How do you find the reflection of a point across the line y = x?

• Subtract the coordinates

• Add the coordinates

• Multiply the coordinates

• Flip the coordinates

What is the reflection of the point (-12, 6) across the line y = x?

• (12, -6)

• (-12, 6)

• (-6, 12)

• (6, -12)

In the reflection process, what does the term 'A prime' refer to?

• The axis of reflection

• The reflected point

• The original point

• The midpoint

What is the first step in reflecting a point across the line y = x?

• Flip the x and y coordinates

• Rotate the point 90 degrees

• Double the coordinates

• Move to the origin

Why does the reflection across the line y = x make sense geometrically?

• It forms a right angle

• It cuts the distance in half

• It maintains the original distance

• It creates a parallel line

What is the significance of the line y = x in reflections?

• It is a horizontal line

• It is a curved line

• It acts as a mirror line

• It is a vertical line