Lines and Angles
I can haz Proof?
Angle Pair Relationships
Are these parallel?
Parallel or Perpendicular or Neither?
100
These are lines that coplanar and do not intersect.
What are parallel lines?
100
This uses arrows to show the flow of logical arguments where each justification is written below.
What are flow proofs?
100
If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.
What is the Corresponding Angles Postulate?
100
On page 153 of your book, do #16.
What is x=60?
100
y=-2x-1 y=-2x-3
What is parallel?
200
These are lines that are not coplanar and do not intersect.
What are skew lines?
200
This is what you would use to prove #34 on page 155 of your book.
What is the Consecutive Interior Angles Converse Theorem?
200
If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
What is the Alternate Interior Angles Theorem?
200
On page 153 of your book, do #18.
What is x=20?
200
y=-1/2x+3 2y=-x+10
What is parallel?
300
These are two angles that lie outside the two lines and on opposite sides of the transversal.
What are alternate exterior angles?
300
This is what allows us to conclude that angles 1 and 2 are complementary in #14 on page 139 of your book.
What is "If two sides of two adjacent acute angles are perpendicular, then the angles are complementary"?
300
If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent.
What is the Alternate Exterior Angles Theorem?
300
On page 153 of your book, do #17.
What is x=45?
300
y=-3x+1 y=1/3x+1
What is perpendicular?
400
If there is a line and an point not on a line, then there is exactly one line through the point parallel to the given line.
What is the Parallel Postulate?
400
On page 139 of your book, this is what allows us to state that all 4 angles in #15 are right angles.
What is "If two lines are perpendicular, then they intersect to form 4 right angles"?
400
If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary.
What is the Consecutive Interior Angles Theorem?
400
On pg 161 of your book, do #21.
What are lines p and q are parallel, q and r are parallel, and p and r are parallel?
400
y=4x+10 y=-2x+5
What is neither?
500
If there is a line and an point not on the line, then there is exactly one line through the point perpendicular to the given line.
What is the Perpendicular Postulate?
500
This is what allows us to conclude that lines j and k are perpendicular in problem #4 on page 138 of your book.
What is "If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular"?
500
If a transversal is perpendicular to one of two parallel lines, the it is perpendicular to the other.
What is the Perpendicular Transversal Theorem?
500
On page 154 of your book, do #27.
What is lines j and n are parallel?
500
3y-4x=3 4y+3x=-12
What is perpendicular?
M
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n
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