Reflecting Points and Line Properties

The video tutorial explains how to reflect line segments over a line using geometry principles. It begins with an introduction to line segments IN and TO, which are reflected over the line Y = -X - 2. The tutorial covers the slope-intercept form, the concept of perpendicular lines, and how to calculate the exact reflection points by maintaining equidistance from the line of reflection. The process is demonstrated for points I, N, T, and O, ensuring accuracy in the reflection.

What is the slope of the line Y = -X - 2?

• 1

• -1

• 2

• 0

What is the Y-intercept of the line Y = -X - 2?

• 2

• 0

• -2

• -1

Why is it important to use the interactive graph accurately?

• To change the slope of the line

• To ensure the reflection is exact

• To adjust the Y-intercept

• To make the reflection look artistic

What is the first step in reflecting a point over a line?

• Draw a parallel line

• Move the point horizontally

• Drop a perpendicular to the line

• Change the slope of the line

What is the slope of a line perpendicular to Y = -X - 2?

• 1

• 2

• 0

• -1

What are the coordinates of the reflected point I?

• (-6, -4)

• (3, -8)

• (0, -2)

• (-2, -6)

What are the coordinates of the reflected point N?

• (-6, -4)

• (3, -8)

• (0, -2)

• (-2, -6)

What is the change in X for reflecting point T?

• 4.5

• -4.5

• 5

• -5

What are the coordinates of the reflected point T?

• (-4, -9)

• (-4, -7)

• (0, -5)

• (5, 0)

What are the coordinates of the reflected point O?

• (0, -5)

• (-4, -9)

• (-4, -7)

• (5, 0)