Geometry Parallel and Perpindicular Lines
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What are parallel lines?
Lines that are on the same plane and never intersect.
What are skew lines?
Skew lines are lines that are on different planes and never intersect.
What are two planes that never intersect called?
What is a transversal?
A line that intersects two or more coplanar lines at different points.
What are corrseponding angles?
ANgles that have corresponding positions. The angles are congruent if the lines are parallel and cut by a transversal.
What are alternate interior angles?
Angles that are on opposite sides of the transversal and are between the two lines. They are congruent if the lines are parallel.
What are alternate exterior angles?
Angles that are on opposite sides of the transversal and are outside of the two lines. They are congruent if the lines are parallel.
What are consecutive interior angles?
Angles that are on the same side of the transversal and between the two lines. They are are supplementary if the lines are parallel.
How can you prove that lines are parallel?
- When a tranversal is cut, use one of the following theories to prove that they are parallel:
- Converse of corresponding angles
- Converse of consecutive interior angles
- Converse of alternate exterior angles
- Converse of alternate interior angles
How do you find the slope in a line?
- Change in y/change in x
What is a negative slope?
A slope that goes down hill.
What is a positive slope?
A slope that goes up hill.
What is a slope of zero?
A flat line, where the equation is y=b, where b is a constant
What is an undefined slope?
A vertical line, where the equation is x=b, where b is a constant
What is slope-intercept form?
y=mx+b where m is the slope and b is the y-intercept
What is standard form?
Ax+By=C where A and B do not equal zero.
What is point-slope form?
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