Parallel/Perpendicular Lines in the Coordinate Plane
Lines and Angles
Proof and Perpendicular Lines
Parallel Lines and Transversals
100
m = rise/run = Change in y/Change in x = (y2-y1)/(x2-x1)
What is formula for slope?
100
If there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line.
What is Postulate 13 - Parallel Postulate?
100
This form of geometric proof has numbered statements and reasons that should the logical order of an argument.
What is a two column proof?
100
If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent.
What is Alternate Exterior Angles Theorem?
200
y = mx + b
What is the slope-intercept form of a linear equation?
200
If there is a line and a point not on the line, then there is exactly one line through the point perpendicular to the given line.
What is Postulate 14 - Perpendicular Postulate?
200
If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular.
What is Theorem 3.1 on page 137?
200
If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
What is Alternate Interior Angles Theorem?
300
In a coordinate plane, two nonvertical lines are parallel if and only if they have the same slope. Any two vertical lines are parallel.
What is Postulate 17 - Slopes of Parallel lines Postulate?
300
A line that intersects two or more coplanar lines at different points.
What is a transversal?
300
If two sides of two adjacent acute angles are perpendicular, then the angles are complementary.
What is Theorem 3.2 on page 137?
300
If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other.
What is Perpendicular Transversal Theorem?
400
In a coordinate plane, two nonvertical lines are perpendicular if and only if the product of their slopes is -1.
Hint: Think of "Opposite, reciprocals."
What is Postulate 18 - Slopes of Perpendicular Lines?
400
Two angles that occupy corresponding positions.
What are corresponding angles?
400
If two lines are perpendicular, then they intersect to form four right angles.
What is Theorem 3.3 on page 137?
400
If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
What is Corresponding Angles Postulate?
500
line 1: y = 3x + 2
line 2: y = (-1/3)x - 6
What is the lines are perpendicular?
500
Two angles that lie between the two lines and on the same side of the transversal.
What are consecutive interior angles?
500
Two-Column Proofs, Flow Proofs, and Paragraph Proofs.
What are Types of Proofs?
500
If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary.