Reflection and Midpoint Concepts

The video tutorial explains how to determine the line of reflection on a coordinate plane by calculating midpoints of given points and deriving the equation of the line. It also demonstrates how a point on the line of reflection maps back to itself.

What is the initial step in identifying the line of reflection?

• Calculating the distance between points

• Drawing a perpendicular line

• Identifying the midpoints of the points

• Finding the slope of the line

How do you determine the midpoint of two points?

• By averaging the coordinates

• By multiplying the coordinates and dividing by 2

• By subtracting the coordinates and dividing by 2

• By adding the coordinates and dividing by 2

What is the midpoint of points H (2, -2) and G (-2, -6)?

• (0, -2)

• (-2, -2)

• (2, -4)

• (0, -4)

What is the midpoint of points S (1.5, 5.5) and T (-9.5, -5.5)?

• (1.5, -5.5)

• (-4, -4)

• (0, -4)

• (-4, 0)

What is the slope of the line of reflection passing through points (0, -4) and (-4, 0)?

• -1

• 4

• 0

• 1

What is the y-intercept of the line of reflection?

• -1

• 4

• 0

• -4

What is the equation of the line of reflection?

• y = -x - 4

• y = -x + 4

• y = x + 4

• y = x - 4

What happens to a point that lies on the line of reflection when it is reflected?

• It moves to a new location

• It becomes undefined

• It maps back to itself

• It doubles its distance from the line

What are the coordinates of the image of the point (-2, -2) under the reflection?

• (2, 2)

• (-2, -2)

• (2, -2)

• (-2, 2)

If a point is not on the line of reflection, how do you find its reflected image?

• By finding the slope of the line

• By calculating the midpoint

• By drawing a parallel line

• By dropping a perpendicular to the line and extending it the same distance on the other side