Review Fall Final Exam Part 1

Front

What is the distance formula used to find the distance between two points (x1, y1) and (x2, y2)?

Back

Distance = √((x2 - x1)² + (y2 - y1)²)

Front

Calculate the distance between the points C(12, 6) and D(-8, 18).

Back

23.32

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that never meet; they have the same slope.

Front

What is the definition of perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees); their slopes are negative reciprocals.

Front

If the midpoint of a line segment AB is (x, y), and the coordinates of point A are (x1, y1), how do you find the coordinates of point B (x2, y2)?

Back

Use the formula: (x, y) = ((x1 + x2)/2, (y1 + y2)/2).

Front

Given the midpoint of AB is (–10, 4) and point A is (6, –8), what are the coordinates of point B?

Back

(–26, 16)

Front

What is the formula for finding the midpoint of a line segment?

Back

Midpoint = ((x1 + x2)/2, (y1 + y2)/2)

Front

What does it mean if two lines are neither parallel nor perpendicular?

Back

It means the lines intersect at an angle that is not 90 degrees and do not have the same slope.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x).

Front

How do you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if their slopes are equal.