A proof that is connected by arrows, to show which statement leads to the next statement.
What is a flow proof?
100
I am the slope of the line connecting points C (0,7) and
D (4, 8).
What is 1/4?
100
I am the value of x that would ensure that the lines are parallel.
What is 20?
100
I am a geometric name to describe angles 1 and 8.
What are alternate exterior angles?
200
I am perpendicular to line CD.
What is line BC or line GD?
200
Two coplanar lines with the same slope.
What are parallel lines?
200
I am the slope of the line that connects E (-1, -2) and
F (-6, -4).
What is 2/5?
200
I am the value of x that ensures that the lines are parallel.
What is 18?
200
I am a geometric description angles 4 and 6.
What is consecutive (or same side) interior angles?
300
I am a line that is skew to BC.
What is FE or FG or HE or AF or DE?
300
A line that intersects two or more coplanar lines at different points.
What is a transversal?
300
I am the relationship between lines AC and BD, if A is (3,3), B is (4, 1), C is (1, -2), and D is (-1, 3).
What is perpendicular?
300
The postulate or theorem that I would use to prove that lines a and b are parallel.
What is the alternate interior angles converse theorem?
300
We are a set of supplementary angles, only if the lines are parallel.
What are angles 3 and 5 or angles 4 and 6?
400
A plane parallel to plane BGC.
What is plane AFE (H)?
400
They lie in the same plane and the product of their slopes is -1.
What are perpendicular lines?
400
I am the line that is parallel to y = 1/2 x - 9 and passes through point (-6, -11).
What is y = 1/2 x - 8?
400
The postulate or theorem that I would use to prove that lines a and b are parallel.
What is the corresponding angle converse postulate?
400
I am a word to describe the lines with equations y = x + 5 and y = -x.
What is perpendicular?
500
I am noncoplanar with point H.
What is point G?
500
They are lines that do not intersect, and are noncoplanar.
What are skew lines?
500
I am the line that is perpendicular to y = 1/6 x + 5 and passes through point (-3, 1).
What is y = -6 x - 17
500
I am what allows you to logically conclude (with statements and reasons) that if transversal t cuts line l and m and angle 2 is congruent to angle 1, then l is congruent to m.
What is a two-column proof like the following?
Given - Given
1 is congruent to 3 - vertical angles are congruent
3 is congruent to 2 - transitive property for angle congruence
l is parallel to m - corresponding angle converse postulate
500
We are the theorems that discuss 3 lines that are parallel and/or perpendicular.
What are the theorems: if a two lines are parallel to a common third line, then they are parallel to each other; and if two lines are each perpendicular to a third line, then they are parallel to each other.