3.1-3 Parallel and Perpendicular Lines
3.2 Parallel Lines Cut by a Transversal
3.1 Types of lines and 3.3 Proofs
3.5.1 Parallel and Perpendicular Equations
3.5.2 Partitioning
100
Name a pair of parallel lines
a and c
100
If m<1=140, what is the m<4?
m<4=140
100
What is the definition of parallel lines?
Two lines or segments, when extended, never intersect and are coplanar
100
What is the equation of a line that is parallel to the line y=2x+3 that passes through the point (5,2)?
y=2x-8
100
If my segment is partitioned in the ratio of 3:4, what is my fraction that I will use?
3/7
200
Name a pair of perpendicular lines
a and t
or
c and t
200
If m<5=155, what is the m<3?
m<3=25
200
What is the definition of perpendicular?
Two lines or segments that intersect and create right angles.
200
What is the equation of a line that is perpendicular to the line y=1/4x+2 that passes through the point (-1,3)?
y= -4x-1
200
If we are partitioning a segment AB where A(2, 4) and B(8, 10), what is the slope (change in y and change in x)?
Change in y = 6
Change in x = 6
300
Is line a parallel to line b? Explain why
No, they will eventually intersect.
300
If m<2=x+5 and m<8=3x+15, what is the value of x?
x=40
300
What are skew lines?
Two lines that never intersect and are NOT coplanar
300
What is the equation of a line that is parallel to the line 2y=-6x+10 that passes through the point (3,1)?
y=-3x+10
300
If we are partitioning a segment AB in the ratio 5:1 with A(2, 4) and B(8, 10), what is point P?
P(7, 9)
400
Is line b perpendicular to line t? Explain why
No, they intercept but they do not create a right angle.
400
If m<6=7x+18 and m<2=5x+62, what is the value of x
x=22
400
What would you write in your reason column if a and b are alternate interior angles:
Given: m ∥ n
Show:<a cong <b
Two parallel lines cut by a transversal make alternate interior angles congruent.
400
What is the equation of a line that is perpendicular to the line 3y=-x+5 that passes through the point (5,2)?
y=3x-13
400
Find the point that partitions the line segment into a ratio of 3 to 2 when given endpoints of (0, 0) and (4, 3).
(2.4, 1.2)
500
Is line a perpendicular to line t? Explain why.
Yes, since line a and c are parallel and line c and t perpendicular, then lines a and t have to be perpendicular as well.
500
If m<1= 12x+4 and m<6= 6x-4. what is the m<7?
m<7=56
500
What would you write in your reason column if a and b are corresponding angles:
Given: <a cong <b
Show: m ∥ n
Two lines cut by a transversal that make corresponding angles congruent, means the lines are parallel.
500
What is the equation of a line that is perpendicular to the line 3y+2=5x+4 that passes through the point (5,6)?
y=-3/5x+9
500
If A(4, 1) and B(-3, 0) find the point that divides AB two-thirds of the way from A to B.
(-0.6666, 0.3333) or (-2/3, 1/3)