Coordinate Geometry Concepts Review

The video tutorial covers a review of coordinate geometry, focusing on calculating slopes to determine if lines are parallel or perpendicular. It explains how to find the equation of a line perpendicular to a given line, calculate the midpoint of a segment, and determine the perimeter of a shape using the distance formula. The tutorial concludes with finding the area of a triangle using its altitude and base.

How do you determine if lines are parallel?

• By checking if their slopes are equal

• By measuring their lengths

• By checking if they intersect

• By calculating their midpoints

What is the slope of line BC if point B is (4, -5) and point C is (3, 2)?

• 7

• -1/7

• 1/7

• -7

If two lines have slopes of -7 and 1/7, how are they related?

• Identical

• Intersecting

• Perpendicular

• Parallel

What is the slope of a line perpendicular to a line with slope 3?

• 3

• -3

• 1/3

• -1/3

What is the equation of a line perpendicular to y = 3x - 3 that passes through (3,1)?

• y = -1/3x + 2

• y = 1/3x + 2

• y = 3x + 1

• y = -3x + 1

How do you find the x-value that splits a segment in half?

• By calculating the distance

• By finding the slope

• By averaging the x-values

• By averaging the y-values

What formula is used to calculate the distance between two points?

• Perimeter formula

• Slope formula

• Midpoint formula

• Distance formula

What is the perimeter of a shape with sides √5, √5, √10, and √10?

• √15 + √20

• 4√10

• 2√5 + 2√10

• 4√5

What is the area of a triangle with base 5 units and height 3 units?

• 8 units squared

• 7.5 units squared

• 10 units squared

• 15 units squared

How do you find the area of a triangle given an altitude?

• Base plus height

• Half base times height

• Base times height

• Twice the base times height