Reflection Rules and Properties in Geometry

The video tutorial covers various methods of reflecting shapes using XY coordinates. It begins with an introduction to reflections, followed by practical examples of reflecting over lines and points without coordinates. The tutorial then explores reflections using coordinates, including reflections over the x-axis, y-axis, horizontal and vertical lines, and diagonal lines like y=x and y=-x. Finally, it discusses reflecting shapes in the origin, providing general rules and formulas for each type of reflection.

What is the main topic of section nine point one?

• Translations

• Reflections

• Dilations

• Rotations

When reflecting over a line without coordinates, what tool is used to create a perpendicular line?

• Ruler

• Compass

• Protractor

• Calculator

How do you determine the position of a reflected point when reflecting in a point?

• Measure the distance to the line

• Use a compass

• Measure the distance to the center point

• Use a ruler

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

• Identify the line of reflection

• Measure the distance

• Use a compass

• Plot the image

What happens to the y-coordinate when reflecting over the x-axis?

• It doubles

• It remains the same

• It becomes zero

• It changes sign

What is the general rule for reflecting over the line y = -3?

• XY maps to X, -Y

• XY maps to X, -Y+6

• XY maps to X, Y-3

• XY maps to X, Y+3

When reflecting in the y-axis, what happens to the x-coordinate?

• It remains the same

• It changes sign

• It becomes zero

• It doubles

What is the general rule for reflecting in any vertical line?

• XY maps to -X, Y

• XY maps to X, -Y

• XY maps to X, Y

• XY maps to -X+2a, Y

What is the slope of the line y = x?

• -1

• 1

• 0

• Undefined

What is the general rule for reflecting in the line y = x?

• XY maps to X, Y

• XY maps to -X, Y

• XY maps to -Y, -X

• XY maps to Y, X