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Connections to Algebra
3.4 Styles of Proofs
Finding Angle Measure
3.5 Theorems and Postulates
3.6 Theorems and 3.3 Laws of Logic
100
If the equations of two lines have exactly one solution, describe the lines.
What is Intersecting
100
Name the three styles of proofs.
What is Paragraph, 2 Column, Flow
100
Find the measure of angle 1
What is 43 degrees
100
If two parallel lines are cut by a transversal, then the pairs of ___________ exterior angles are congruent.
What is Alternate
100
If p then q. If q then r. Therefore, if p then r. This is an example of _____________. (2 possible answers)
What is the Law of Syllogism or the Transitivity of Conditionals.
200
If there is a line and point not on the line, then there is exactly ___________ through the point parallel to the given line.
What is One Line
200
Any right angle is ________ to any other right angle.
What is Congruent
200
Find the measure of angle 2
What is 90 degrees
200
What is wrong with this statement? Angle 1 and Angle 2 are congruent by the Corresponding Angles Theorem.
What is The Corresponding Angles Postulate.
200
Using the Law of Detachment, make a conclusion from the following statement. If we play Jeopardy today, then we have a test tomorrow. We are playing Jeopardy today.
What is we have a test tomorrow.
300
What is the relationship between these lines? y= -2x + 4 y= 1/2x - 3
What is Perpendicular
300
Given that the measure of angle 1 equals 80 degrees and the measure of angle 2 equals 80 degrees, why can we say that the measure of angle 1 is equal to the measure of angle 2?
What is The Transitive Property of Equality
300
Find the measure of angle 3
What is 47 degrees
300
If a transversal is perpendicular to one of two parallel lines, then _____________________.
What is it is perpendicular to the second
300
If two lines are cut by a transversal so that the alternate interior angles are ___________, then the lines are parallel
What is Congruent
400
Find x and y. y - 1/2x = 1 y - x = 0
What is x=2, y=2
400
If two lines intersect to form a pair of ______ _______ angles, then the lines are perpendicular.
What is Adjacent Congruent
400
Find the measure of angle 4
What is 32 degrees
400
If two parallel lines are cut by a transversal, then the pairs of ______________________ angles are supplementary
What is consecutive interior
400
What is the contrapositive of the following statement? If it is cold, then I will not wear shorts.
What is If I will wear shorts, then it is not cold.
500
Write the equation of the line perpendicular to y = -5/6 + 1 and passes through the point (0, -3)
What is y = 6/5x - 3
500
If point B is between A and C, why can we say AB + BC = AC?
What is The Segment Addition Postulate
500
Find the measure of angle 5
What is 101 degrees.
500
True or False, if two parallel lines are cut by a transversal, then the resulting consecutive interior angles can never be congruent. If true state the theorem or postulate to prove it. If false provide a counterexample
What is False, two parallel lines and the transversal is a perpendicular line. All angles = 90 degrees
500
State the Corresponding Angles Converse (Postulate 16)
What is If two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel