Coordinate Geometry Concepts and Problems

This video tutorial covers key concepts in coordinate geometry, including graphing points, calculating distances using the Pythagorean theorem, finding midpoints, determining missing endpoints, and understanding the slopes of parallel and perpendicular lines. The tutorial emphasizes practical graphing techniques and provides step-by-step instructions for solving geometry problems.

What is the primary tool recommended for coordinate geometry problems?

• Calculator

• Graph paper

• Protractor

• Compass

Which formula is used to find the distance between two points?

• Area formula

• Pythagorean theorem

• Slope formula

• Midpoint formula

If the coordinates of two points are (-6, -2) and (4, 3), what is the distance between them?

• 5

• 12

• 10

• 11.18

What is the midpoint of the points (-2, 3) and (5, -3)?

• (2, 1)

• (3, -1)

• (0, 0)

• (1.5, 0)

How do you find the midpoint between two points?

• Add the coordinates

• Subtract the coordinates

• Multiply the coordinates

• Average the coordinates

Given one endpoint and the midpoint, how can you find the other endpoint?

• Use the midpoint formula

• Use the slope formula

• Use the distance formula

• Reflect the known endpoint over the midpoint

If one endpoint is (-5, -6) and the midpoint is (0, -2), what is the other endpoint?

• (5, -2)

• (5, 2)

• (0, 0)

• (5, -6)

What is the relationship between the slopes of parallel lines?

• They are negative reciprocals

• They are equal

• They are zero

• They are perpendicular

If a line has a slope of 2/3, what is the slope of a line perpendicular to it?

• 2/3

• -3/2

• 3/2

• -2/3

How can a ruler help in finding parallel lines on a graph?

• By drawing perpendicular lines

• By aligning with the original line

• By measuring angles

• By measuring distances