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Theorems and Converses
100
Name a pair of parallel lines.
BD and EG or DG and EB
100
What type of angles are 4 and 6?
Alternate exteriors
100
If angle 1 = (10x + 17) degrees and angle 3 = (12x - 5) degrees, solve for x.
x = 11
100
Which segment represents the shortest distance between point P and line m?
PR
100
Name the theorem or converse that says, "If two parallel lines are cut by a transversal, then alternate exterior angles will be congruent."
Alternate Exterior Theorem
200
Name a pair of perpendicular lines
BE and EG or AF and AC
200
What type of angles are 2 and 5?
Corresponding
200
If the measure of angle 2 is (4x + 9) degrees and the measure of angle 3 is (12x - 5), what is the measure of angle 2?
Angle 2 = 53 degrees
200
If m ll n, then RP is ________________ to line n.
Perpendicular
200
Name the theorem or converse that says, "If two lines are parallel and one of them is perpendicular to a transversal, then the other line is also perpendicular to the transversal.
Perpendicular Transversal Theorem
300
Name two parallel planes
BDA and EFG or GDH and BEF or BDG and HCA
300
What type of angles are 3 and 5?
Alternate interiors
300
If angle 1 is (10x + 17) degrees and angle 5 is (12x - 5) degrees, how many degrees is angle 5?
127 degrees
300
Write an inequality to solve for x
x + 6 > 15
300
Name the theorem or converse that says, "If two lines are cut by a transversal and it creates corresponding angles that are congruent, then the two lines are parallel."
Converse of the Corresponding Angles Theorem
400
Name two lines that are skew
(Answers vary)
400
What type of angles are 3 and 7?
Same Side (or consecutive) Interiors
400
If angle 7 is 136 degrees and angle 3 is (4x + 16), solve for x.
x = 30
400
Write an inequality to solve for y
y + 18 > 15
400
Name the theorem or converse that says, "If two lines are cut by a transversal and same side interior angles are supplementary, then the two lines are parallel."
Converse of the Same Side Interior Angles Theorem
500
Where do planes BDE and EFH intersect?
Segment GE
500
What type of angles are 2 and 3?
Vertical
500
If angle 6 is (7x + 21) degrees, and angle 7 is (8x - 6) degrees, how many degrees is angle 7?
Angle 7 = 82 degrees
500
If m ll n and TP is congruent PV, then segment RP is a __________________
Perpendicular bisector
500
Name the theorem or converse that says, "If two lines intersect in such a way that they create a linear pair of angles that are congruent, then the two lines are perpendicular."
3 - 4 - 1 (or the congruent linear pair theorem)
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