Section 1
Preview this deck
Segment bisector
Front
| 5 | 0 | ||
| 4 | 0 | ||
| 3 | 0 | ||
| 2 | 0 | ||
| 1 | 0 |
Active users
0
All-time users
0
Favorites
0
Last updated
5 years ago
Date created
Mar 1, 2020
Cards (60)
Section 1
(50 cards)
Segment bisector
Something that intersects a segment at it's midpoint.
Alternate exterior angles
Two angles formed by two lines and a transversal and lie outside the two lines on the opposite sides of the transversal
If two parallel lines are cut by a transversal, then ______________ interior angles are congruent.
alternate
Supplementary angles
Two angles whose measure has a sum of 180 degrees.
Congruent supplements theorem
If two angles are supplements to the same angle, then they are congruent.
Reflexive Property
A=A
protractor
a tool used to measure angles
Complementary angles
Two angles whose measures have a sum of 90 degrees.
All right angles are ____________
congruent
Symmetric Property
If A=B, then B=A
If two lines intersect to form adjacent congruent angles, then the lines are _____________________.
perpendicular
Parallel planes
Two planes that do not intersect
If two lines are cut by a transversal so that alternate exterior angles are congruent, then the lines are _____________________.
parallel
Corresponding angles
Two angles formed by two lines and a transversal, and occupy corresponding positions
Adjacent angles
Two angles with a common vertex and side but no common interior points.
In a plane, if two lines are perpendicular to the same line, then they are ___________ to each other.
parallel
Conclusion
The "then" part of an if-then statement
Deductive reasoning
Using facts, definitions, accepted properties to make a logical argument.
Alternate interior angles
Two angles formed by two lines and a transversal and lie between the two lines on the opposite sides of the transversal
If two lines are perpendicular, then they intersect to form four _______ ________.
right angles
obtuse angle
an angle that is greater than 90 degrees and less than 180 degrees
Transitive Property
Vertical angles theorem
Vertical angles are congruent.
Vertical angles
Two nonadjacent angles formed by two intersecting lines.
Angle bisector
A ray that divides an angle into two equal angles.
2.2 Congruent Supplements Theorem
If two angles are supplements to the same angle, then they are congruent.
Midpoint
The point on a segment that divides the segment into two equal parts.
If two sides of adjacent acute angles are perpendicular, then the angles are ___________________.
complementary
If two parallel lines are cut by a transversal, then _____________ exterior angles are congruent.
alternate
Same-side interior angles
Two angles formed by two lines and a transversal and lie between the two lines on the same side of the transversal
Linear pair
Two adjacent angles whose noncommon sides are on the same line (supplementary).
acute angle
an angle that is greater than 0 degrees and less than 90 degrees
2.3 Vertical Angles Theorem
When two lines intersect, they form two sets of vertical angels. Vertical angles are congruent. <a=<b
Converse
The statement formed by switching the hypothesis and the conclusion in an if-then statement
If two lines are cut by a transversal so that alternate interior angles are congruent, then the lines are ___________________.
parallel
Transversal
A line that intersects two or more coplanar lines at different points
Congruent complements theorem
If two angles are complementary to the same angle, then they are congruent.
Parallel lines
Two lines that lie in the same plane and do not intersect.
2.1 Congruent Complements Theorem
If two angles are complements to the same angle, then they are congruent.
Bisect
To divide into two congruent parts.
right angle
an angle that equals 90 degrees
If two parallel lines are cut by a transversal, then _______________ interior angles are supplementary.
same-side
If two lines are parallel to the same line, then they are _________ to each other.
parallel
angle
a geometric figure formed by two rays with a common end point
Hypothesis
The "if" part of an if-then statement
Skew lines
Two lines that do not lie in the same plane and do not intersect
Theorem
A true statement that follows from other true statements.
Perpendicular lines
Two lines that intersect to form a right angle.
If-then statements
A statement with a hypothesis (if) and conclusion (then).
If two lines are cut by a transversal so that same-side interior angles are _________________, then the lines are parallel.
supplementary
Section 2
(10 cards)