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Geometry Vocabulary 1.2/2.8
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Terms in this set (29)
Definition of congruent angles
angles that have the same measures
Angle Addition Postulate
the measure of the larger angle is the sum of the measures of the two smaller ones.
Right angle theorem
If two angles are right angles, then they are congruent
Line Postulate
for every two points, there is exactly one line that passes through those points
Plane Postulate
Three non collinear points (in a plane) form a triangle
Straight Angle Theorem
If two angles are straight angles, then they are congruent
Definition of Angle Bisector
ray that divides an angle into 2 congruent angles
Definition of Segment Bisector
a line, segment, or ray that intersects a segment at its midpoint
Definition of Perpendicular
Lines, rays, or segments that intersect at right angles
Definition of Complementary Angles
Two angles whose sum is 90°
Definition of Supplementary Angles
Two angles whose sum is 180°
Supplement Postulate
If two angles form a linear pair, then they are supplementary
Supplement Theorem
If two angles are supplementary to the same or to congruent angles, then they are congruent
Complement Theorem
If two angles are complementary to the same or to congruent angles, then they are congruent
Unnamed Theorem
If two adjacent angles form a right angle, then they are complementary
Reflexive Property
any segment or angle measure is congruent to itself
Unnamed Theorem
If two angles are supplementary and congruent, then each is a right angle
Segment Addition Property
If congruent segments are added to congruent segments, then their sums are congruent
Angle Addition Property
If congruent angles are added to congruent angles, then their sums are congruent
Segment Subtraction Property
If congruent segments are subtracted from congruent segments, then their differences are congruent
Angle Subtraction Property
If congruent angles are subtracted from congruent angles, then their differences are congruent
Addition Property of Equality
If a = b and d=c, then a+c = b+d
Segment Multiplication Property
If segments are congruent, then their like multiples are congruent
Angle Multiplication Property
If angles are congruent, then their like multiples are congruent
Segment Division Property
If segments are congruent, then their like divisions are congruent
Angle Division Property
If angles are congruent, then their like divisions are congruent
Transitive Property
If angles (or segments) are congruent to the same or congruent angles (or segments), then they are congruent
Substitution Property
If a=b, then a can be substituted for b in any equation or expression
Definition of Midpoint
M is the midpoint of AB if
1: A
M
B
2: AM = MB
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