Vocabulary
Angle Relationships
Proofs
Equations of Lines
Miscellaneous
100
If two lines are perpendicular, their slopes are?
negative reciprocals
100
If two parallel lines are cut by a transversal, then the pair of __________________ angles are supplementary.
same side interior
100
If 2 lines are perpendicular to the same line, then those lines are
parallel (Theorem 3.9)
100
Write an equation of the line in point slope form that contains the point (-4, 3) and has a slope of -2.
What is y+3 =-2(x+4)
100
What is the negative reciprocal of -3
1/3
200
If the slopes of two lines are the same, then the two lines are ______________.
What is parallel.
200
These angles are on the inside of two lines cut by a transversal and are on opposite sides.
What is alternate interior?
200
If <1 is congruent to <5, then line a is parallel to line b because:
Converse of Alternate Exterior Angles
200
Determine whether two lines are perpendicular/parallel/neither based on their equations.
y = -3/2 (x + 1)
3 x + 2y = 9
What is parallel.
200
If three angles or a triangle are 37, 53, and x Solve for x
What is 90 degrees
300
These types of lines form a 90 degree angle.
What is perpendicular?
300
Two angles that form a straight line add up to this
180 degrees
300
If <3 is congruent to <11, then line c is parallel to line d because:
Converse of corresponding angles
300
Write an equation of the line that passes through point P(0, 0) and is PERPENDICULAR to the line y = -9x -1.
What is y = 1/9x.
300
If <4 is supplementary to <5 and <5 is supplementary to <6, what can we conclude and why?
<4 is congruent to <6 because of the congruent supplements theorem.
400
Alternate interior angles involving parallel lines are said to be ______.
What is congruent?
400
The interior angles of a triangle add up to this
What is 180
400
If line a is parallel to line b and line b is parallel to line c, how are line a and c related to each other and WHY?
a and c are parallel - transitive property of parallel lines
400
Write an equation of the line that passes through point P(-8, 0) and is parallel to the line
y=3/5x+4
What is
y-0=3/5(x+8)
400
The slope of a line perpendicular to a line that goes through the two points: (2,5) and (3, 9) is ____.
What is -1/4
500
Two angles that are on the same side of a transversal, which cuts through two parallel lines, that are equal are called ________.
What is corresponding angles?
500
A pair of same side interior angles measure the following: (7x+24) degrees and (6x) degrees. Find the value of x AND the measures of the angles.
What is x=12, 72 degrees, and 108 degrees
500
What lines must be parallel in order for <7 and <9 to be congruent?
Lines c and d
500
Write the equation of a line through the given points (0, 4) (2, -8)
y-4= -6(x + 0) or y+8=-6(x-2)
500
Are these 2 lines parallel, perpendicular, or neither?
x=4y+9
y=-4x+4
perpendicular