Geo - Unit 4.6 HW - Parallel and Perpendicular Lines

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They have the same slope and are equidistant from each other at all points.

Front

What are perpendicular lines?

Back

Perpendicular lines are lines that intersect at a right angle (90 degrees). The slopes of two perpendicular lines are negative reciprocals of each other.

Front

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

Back

Two lines are parallel if their slopes are equal.

Front

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

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the slope formula?

Back

The slope (m) of a line through two points (x1, y1) and (x2, y2) is calculated as m = (y2 - y1) / (x2 - x1).

Front

Given points P(-4, 17) and Q(1, -3), how do you find the slope of line PQ?

Back

Using the slope formula: m = (-3 - 17) / (1 - (-4)) = -20 / 5 = -4.

Front

Given points R(-9, 3) and S(-5, 4), how do you find the slope of line RS?

Back

Using the slope formula: m = (4 - 3) / (-5 - (-9)) = 1 / 4.

Front

If line PQ has a slope of -4 and line RS has a slope of 1/4, are the lines parallel, perpendicular, or neither?

Back

The lines are perpendicular because the product of their slopes (-4 * 1/4) equals -1.

Front

What is the significance of the slope in determining the relationship between two lines?

Back

The slope indicates the steepness and direction of a line. It is crucial for determining if lines are parallel, perpendicular, or neither.

Front

How can you visually identify parallel lines on a graph?

Back

Parallel lines will never intersect and will maintain a constant distance apart, appearing to run alongside each other.