if two parallel lines are cut by a transversal, then each pair of corresponding angles is congruent.
What is a corresponding angles postulate?
100
parallel lines have the same slope.
What is postulate 3-2?
100
Postulate 3-4, 3-5, theorems 3-5, 3-6, 3-7, 3-8.
Summarize five different methods you can use to prove two lines are parallel
100
lines in the same plane that do not intersect.
two lines that intersect to form a right angle.
(Note: there are 2 definitions here)
What are parallel and perpendicular lines?
200
A line that intersects two or more lines in a plane at different points.
What is transversal?
200
if two parallel lines are cut by a transversal, then each pair of alternate interior.
What is alternate interior angles theorem?
200
Perpendicular lines have opposite inverse slopes
What is postulate 3-3?
200
Slope CD= (4-0)/(4-3)=4/1 or 4
Prove AB are parallel to CD if A is (-2,0), B IS (-3,-4), C is (4,4) and D is (3,0)
200
Skew lines are two lines that do not intersect but are not parallel because they are not in the same plane
What is skew lines?
300
False; a transversal intersects 2 lines in a plane.
What is a line that intersects two skew lines is a transversal? (question #7 pg. 127)
300
in a plane, if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.
What is perpendicular transversal theorem?
300
rise over run
What is slope?
300
5x+90+14x+9=180 5(.09)+90
19x+99=180 0.5+90
19x=1.8 90.5=ABC
x=0.09
REFER TO GRAPH
Find the value of x and ABC so that p and q are parallel
(Example 1 pg. 148)
300
the lines are parallel if 2 lines in a plane are cut by a transversal so that corresponding angles are congruent.
if there is a line and a point not on the line, then there exist exactly one line through the point that is parallel to the given line.
(Note 2 definitions)
What are postulates 3-4 and 3-5?
400
The sides of the Great Pyramid are intersecting
What is the sides of the Great Pyramid? (question #17 from pg. 128)
400
if two parallel lines are cut by a transversal, then each pair of alternate exterior angles is congruent.
What is alternate exterior angles theorem?
400
(3+7)/(2+3)= 10/5 or 2
-1/2= (5+1)/(x-6)
-1/2= 6/(x-6)
x-6=-12
x=-18
find the value of x so the line that passes through (x,5) and
(6,-1) is perpendicular to the line that passes through (2,3) and (-3,-7).
400
7x-1=90
7x=91
x=13
REFER TO GRAPH
Find the value of x so that l and m is parallel (question #25 pg. 151)
400
Could be 2 out of any of these.
2 lines are parallel if 2 lines are cut by a transversal so they are exterior angles.
if two lines are cut by the transversal so they a pair of consecutive interior angles is supplementary the lines become parallel.
the lines are parallel if 2 lines are cut by a transversal so a pair of alternate interior angles are congruent.
they are parallel if in a plane 2 lines are perpendicular to the same line.
Name theorem 2 of theorems 3-5 to 3-8
500
the lines of a tennis court are parallel
What is the services lines on a tennis court? (question #21 from pg. 128)
500
if two parallel lines are cut by a transversal, then each pair of consecutive interior angles in supplementary.
What is consecutive interior angles theorem?
500
slope AB (1+2)/(9+3)= 3/12 or 1/4
slope CD (-2-6)/(5-3)=-8/2 or 4
AB⟂CD
Given A (-3,-2),B(9,1),C(3,-6), and D(5,-2), determine if AB is parallel or perpendicular to CD.
Example 2 pg. 139