Geometry Homework - Section 5.1Perpendicular Lines and Bisectors

Front

What is the definition of perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees).

Front

What is the slope of a line that is perpendicular to a line with a slope of 2?

Back

The slope of a line that is perpendicular to a line with a slope of 2 is -1/2.

Front

What is the midpoint formula for finding the midpoint of a line segment between two points (x1, y1) and (x2, y2)?

Back

The midpoint M is given by M = ((x1 + x2)/2, (y1 + y2)/2).

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the equation of a line in point-slope form?

Back

The equation of a line in point-slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

What does it mean for a point to be equidistant from two figures?

Back

A point is equidistant from two figures if it is the same distance from both figures.

Front

What is the relationship between the slopes of two perpendicular lines?

Back

The slopes of two perpendicular lines are negative reciprocals of each other.

Front

If a line has a slope of -4, what is the slope of a line that is perpendicular to it?

Back

The slope of a line that is perpendicular to a line with a slope of -4 is 1/4.

Front

What is the definition of a bisector in geometry?

Back

A bisector is a line, segment, or ray that divides another segment or angle into two equal parts.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope and different y-intercepts.