Angles formed by Transversals
A line that intersects two or more lines is called what?
A Transversal
If angles 1 and 2 are vertical angles and angle 1 equals 47 degrees, what is the measure of angle 2?
47 degrees
If angle 1 is supplementary to angle 2, what reason allows me to the say that the measure of angle 1 + the measure of angle 2 = 180 degrees
Definition of Supplementary
A line going downhill from left to right will always have a ___________ slope.
Negative
What does the "b" stand for in slope intercept form:
y=mx + b
The y-intercept
Interior Angles that are on the same side of the transversal are what type of angles?
Alternate interior angles that are connected by a transversal that intersects 2 parallel lines are?
Supplementary or Congruent
Congruent
If line a and line b are cut by a transversal so that a pair of alternate interior angles are congruent, what reason allows me to know that line a is parallel to line b?
Alternate Interior Angles Converse
Slope = rise over ______.
run
Two lines that have negative reciprocal slopes are __________?
perpendicular
Angles on the same side of the transversal and in the same position are what type of angles?
Corresponding Angles
If angles 1 and 2 form a linear pair and angle 2 is 105 degrees, then what is the measure of angle 1?
75 degrees
If line t is parallel to line s and line s is parallel to line r, then what property allows me to know that line t is parallel to line r? (Be specific)
Transitive Property of Parallel Lines
True or False: Y2 - X2/Y1 - X1 is the correct formula used to find the slope of a line when given 2 points on the line.
False
Correct formula is: Y2 - Y1/X2 - X1
If line a has a slope of zero and line b has a slope of undefined, are lines a and b parallel, perpendicular or neither
perpendicular
Exterior angles that are non-adjacent and on opposite sides of the transversal are what type of angles
Alternate Exterior Angles
If angles 5 and 8 are corresponding angles that are connected by a transversal that cuts through 2 parallel lines and angle 5 equals 64 degrees, what is the measure of angle 8?
64 degrees
If the reason justifying a statement in a proof is 1 of the 5 converses, then the statement must be what?
That 2 lines are parallel
What is the negative reciprocal of -3
1/3
4x + 3y = 7 is an example of a linear equation in __________ form?
Standard
Non-coplanar lines that never intersect are called?
Skew Lines
If angles 1 and 2 are consecutive exterior angles connected by a transversal that cuts through 2 parallel lines and angle 1 equals 40 degrees, what is the measure of angle 2?
140 degrees
If angles 1 and 3 are supplementary and angles 2 and 3 are supplementary, what reason allows me to say that angle 1 is congruent to angle 2?
Congruent Supplements Theorem
Given the 2 equations below, are these two lines parallel, perpendicular or neither?
y = -3/2x +4
y = -2/3x -7
Neither
Given a line with a slope of 2/3 that passes through point (2,5), how would I write the equation of the line in point slope form?
y - 5 = 2/3(x-2)