Distance and Position on Coordinate Plane

This lesson covers the concept of distance on the coordinate plane, focusing on perpendicular roads and mapping towns. It explains how to calculate distances between points on the x-axis and y-axis using absolute values. The lesson also explores vertical line segments in different quadrants and provides practice exercises to reinforce the concepts.

What does it mean when two roads are perpendicular on a coordinate plane?

• They never meet.

• They run parallel to each other.

• They intersect at a right angle.

• They form a circle.

If Albertsville is 8 miles to the left of the origin and Dewey Falls is 6 miles to the right, what is the distance between them?

• 14 miles

• 2 miles

• 6 miles

• 8 miles

What do points with a y-coordinate of zero have in common on a coordinate plane?

• They are on the y-axis.

• They are on the x-axis.

• They are in the first quadrant.

• They are at the origin.

How do you find the distance between two points on the x-axis?

• Subtract the absolute values of their y-coordinates.

• Subtract their x-coordinates.

• Add their y-coordinates.

• Add the absolute values of their x-coordinates.

What is the location of a line segment if both endpoints have an x-coordinate of zero?

• On the x-axis

• On the y-axis

• In the fourth quadrant

• In the first quadrant

How do you calculate the length of a line segment on the y-axis?

• Add the y-coordinates.

• Subtract the x-coordinates.

• Find the difference of the absolute values of the y-coordinates.

• Add the absolute values of the x-coordinates.

What does it indicate if two points have the same x-coordinate but different y-coordinates?

• They are on the y-axis.

• They form a horizontal line.

• They form a vertical line.

• They are on the x-axis.

How do you find the length of a vertical line segment not on an axis?

• Subtract the x-coordinates.

• Subtract the absolute values of the x-coordinates.

• Add the y-coordinates.

• Add the absolute values of the y-coordinates.

If a line segment has endpoints with the same y-coordinate, what type of line is it?

• Vertical

• Horizontal

• Diagonal

• Curved

What is the distance between the points (0, -11) and (0, 8) on the y-axis?

• 11 units

• 3 units

• 8 units

• 19 units