What do vertical lines imply?
Vertical lines are strong and rigid. They can suggest stability, especially when thicker. Vertical lines accentuate height and convey a lack of movement, which is usually seen as horizontal. They stretch from the earth to the heavens and are often connected with religious feelings.
What feelings do diagonal lines create?
Diagonal lines convey a feeling of movement. Objects in a diagonal position are unstable. Because they are neither vertical nor horizontal, they are either about to fall or are already in motion.
What are the angle relationships in parallel lines?
When the lines are parallel, the interior angles on the same side of the transversal are supplementary. If two parallel lines are cut by a transversal, the interior angles on the same side of the transversal are supplementary.
How do you solve parallel lines?
Parallel Lines Two lines are parallel if the have the same slope. Example 1: Find the slope of the line parallel to the line 4x – 5y = 12. To find the slope of this line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line 4x – 5y = 12 is m = 4/5.
How do you know if lines are parallel?
We can determine from their equations whether two lines are parallel by comparing their slopes. If the slopes are the same and the y-intercepts are different, the lines are parallel. If the slopes are different, the lines are not parallel. Unlike parallel lines, perpendicular lines do intersect.
Which lines are parallel justify your answer?
If two lines are cut by a transversal and alternate interior angles are congruent, then the lines are parallel.
When two lines are perpendicular Their slopes are?
Theorem 105: If two nonvertical lines are perpendicular, then their slopes are opposite reciprocals of one another, or the product of their slopes is −1.
What kind of slopes do parallel lines have?
In other words, the slopes of parallel lines are equal. Note that two lines are parallel if their slopes are equal and they have different y-intercepts. In other words, perpendicular slopes are negative reciprocals of each other.
Can two lines with positive slopes be perpendicular?
is not possible for two lines with positive slopes to be perpendicular to each other.
Can two lines with negative slopes be perpendicular?
If the slopes of two lines are negative reciprocals, the lines are perpendicular. since their slopes of 0 have undefined reciprocals.
How do you know if a slope is perpendicular to a diagonal?
Determine if this is true. To do this, we find the slope of each line and then check to see if one slope is the negative reciprocal of the other. If the lines are perpendicular, each will be the negative reciprocal of the other.