Exploring Slopes of Parallel and Perpendicular Lines

What are the learning goals of this lesson?

• To understand the concept of slope

• To make conjectures about the slopes of parallel and perpendicular lines and use slope to determine if lines are parallel or perpendicular

• To calculate the area of a skateboard ramp

• To learn about the history of skateboarding

Which segments of the skateboard ramp appear to be parallel?

• Segment BD and Segment DF

• Segment BA and Segment AC

• Segment BD and Segment EF

• Segment BC and Segment CD

What is the definition of slope in algebra?

• The sum of the y-coordinates

• The ratio of the vertical change to the horizontal change

• The product of the x-coordinates

• The ratio of the horizontal change to the vertical change

How do you calculate the slope using the coordinates of two points?

• Add the x-coordinates and y-coordinates

• Subtract the x-coordinates and divide by the y-coordinates

• Subtract the y-coordinates and divide by the x-coordinates

• Multiply the x-coordinates and y-coordinates

What is the slope of segment XW if the vertical change is 2/3 and the horizontal change is 2?

• 1/2

• 1/3

• 2/3

• 3/2

What is the slope of segment AB if point A is at (-12, 0) and point B is at (0, 4)?

• 3/1

• 4/12

• 1/3

• 1/4

What is the slope of segment WG if point W is at (-10, 6) and point G is at (-9, 3)?

• 3

• 1/3

• -1/3

• -3

What is the relationship between the slopes of parallel lines?

• They are negative

• They are the same

• They are opposite reciprocals

• They are zero

What is the relationship between the slopes of perpendicular lines?

• They are undefined

• They are opposite reciprocals

• They are zero

• They are the same

How can you determine if two lines are perpendicular using their slopes?

• If their slopes are the same

• If their slopes are undefined

• If their slopes are zero

• If their slopes are opposite reciprocals