Parallel Lines
Perpendicular Lines
Parallel Lines and Triangles
Proofs
Constructions
100
Find the slope of the line parallel to:
y = 53/436x + 14,678
53/436
100
Find the slope of the line perpendicular to:
y = 53/436x + 14,678
-436/53
100
Write a true equation for the value of "d" in the figure below
d = a + b
100
In the figure below, which theorem states that
angle3~=angle7
Corresponding angles theorem
100
What is the first step for constructing the line parallel to AB that passes through C?
Connecting C to either A or B then extending
200
How many angles are formed when a transversal crosses two parallel lines?
8
200
What is the minimum number of times that 2 perpendicular lines can cross each other?
1
200
Find the value of x in the figure below
x = 109^o
200
State the exact wordage of the following theorem:
Converse of Alternate Interior Angles Theorem
"If Alternate Interior Angles are congruent, then the lines are parallel"
200
What is the "easy method" of finding the center of regular shapes like the one below
Connecting Corners
300
Find each angle measured in the figure below (assume the lines are parallel)
All either
50^o or 130^o
300
Two lines (A and B) are both perpendicular to line C. What can we conclude about A and B?
A and B are parallel
300
FInd the measures of a, b, and c in the figure below (hint: the lines are parallel)
a = 58^o
b=48^o
c=74^o
300
Which theorem can be used to conclude that line j is parallel to like k (must include full correct name for points)
Converse of Alternate Exterior Angles Theorem
300
What is the shortest distance in the figure below from point C to line AB?
The perpendicular line to AB that passes through point C
400
Write the equation of the line parallel to the line y = 1/6x + 7 that passes through the point (-6, 1)
y = 1/6x +2
400
Write the equation of the line perpendicular to the line
y = 1/2x + 3
that passes through the point (4, 1)
y = -2x +9
400
Find the value of x in the figure below
x = 5
400
State the first two reasons in the given proof:
1) Given
2) Definition of Complementary
400
How do we draw a
15^o
from scratch?
Draw a 60 degree angle, then bisect it twice
500
2 parallel Transversals cross a different set of 3 parallel lines. How many different angles are formed?
24
500
List the equations of lines that would create a rectangle graph that has an area of
24 units^2
Example Answer:
x = 1, x = 7
y = 0, y = 4
500
Find the value of Angle 4 in the figure below
angle4= 145^o
500
See Proof
500
This famous Greek mathematician invented geometry and construction with his first published book:
Euclids Elements