Defintions & Theorems
Intersecting Lines
Transversals & Parallels
Perpendicular lines
Equations of Perpendicular & Parallel lines
100
The angles formed by intersecting that are lines opposite each other.
What are vertical angles?
100
120
What is the value of x?
100
These lines appear to be parallel.
What are lines p and q?
100
In this diagram, measure of angle 1 + measure of angle 3 is 180 degrees.
Give another true statement about the diagram.
What is lines l and m are perpendicular?
100
A line parallel to the following equation has this slope.
y=3/5x+6.
What is
3/5?
200
Angles 3 and 6 in this diagram create a pair.
What are same-side interior angles?
200
Angles 4 & 6 and 3 & 5
What are Alternate Interior Angles?
200
Describe what information is needed to prove that opposite sides of this figure are parallel.
What is the measurement of a corresponding angle or same side interior angle?
200
The measure of angle 1 is 90 degrees. Give the measure of the other 3 angles.
What is 90 degrees for the measure of angles 2, 3, and 4? By Vertical angles and Linear pair theorem
200
The equation for a line perpendicular to the given line and traveling through point (0, 9).
y=3/5x+6
What is
y=-5/3x+9?
300
These theorems are created by swapping the if-then portions to create a new theorem.
State ONE of these after your question.What are converses?
Converse of the Same-Side Interior angles Postulate
Converse of the Alternate Interior angles theorem
Converse of the Corresponding angles theorem
Converse of the Perpendicular Bisector theorem
300
This is another name for angle y.
What is 60 degrees?
300
Parallel lines create 4 different types of angle. List each and important facts. ONLY use the diagram as a reference.
What are ...
Vertical angles which are congruent,
Corresponding angles which are congruent,
Alternate Interior angles which are congruent,
Same side interior angles which are supplementary?
300
This type of perpendicular line will cut another line into equal sections.
What is a perpendicular bisector?
300
Use the given information to write the equation for a line perpendicular to and through point (12, 0)
y=-1/3x-5
What is
y=3(x+12) or y=3x+36?
400
Two angles whose sum is 180 degrees.
What is a linear pair?
400
Angle 8 measures 35 degrees. These angles are all congruent using theorems in Module 4.
What are angles 2, 4 & 6?
Using Corresponding angle or vertical angle theorems.
400
The number of angles that must be given in order to list the remaining 7 angle measures.
What is ONE angle?
Since we have theorems that help us find all linear pairs, vertical, corresponding, same-side interior and alternate interior angles only ONE angle measure is needed to find the other 7 angle measures.
400
Line l is the perpendicular bisector of line AB. Give the length of AC.
What is 3 cm?
400
Given
3x-4y=8 find any line parallel.
What is
y=3/4x + c? where c is any number other than -2
500
When two items are considered to have equal value, you can replace one with the other using this property.
What is the Substitution Property of Equality?
500
In this figure, the measure of angle 1 is 135 degrees. And lines m & n are parallel. State other facts about the angles. Justify your question.
What is angles 3, 5, & 7 measure 135 degrees? By corresponding angles theorem or vertical angles postulate
OR
What is angles 2, 4, 6, & 8 measure 65 degrees? By linear pair theorem
500
Given that lines r (Regent Ave), m (Madison Ave), and n (Noben Ave.) are parallel streets that run from the Northwest quadrant of town into the Southeast quadrant. The transversal p is a newly proposed road (Parker Lane) that would intersect lines m (Madison) and n (Noben).
Describe some information needed to make the decision to begin constructing Parker Lane.
Why was this location chosen?
What purpose is Parker Lane being put in?
Will Parker Lane solve the current traffic dilemma or will it add unseen issues?
500
Use the given information to show that sides AC and BC are perpendicular. Justify your question.
What is the slopes of AC and BC are negative reciprocals?
Line BC slope =(7-1)/(-3+3) = 6/0 undefined
Line AC slope =(1-1)/(-8+3) =0/5 zero
500
Find the equation for a line perpendicular to the given line.
3x -4y=8
What is
y=-4/3x+c where c is any number?