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21 Cards in this Set

  • Front
  • Back
If A=B and B=C, then A=C.
Transitive Property of Equality
If A=B, then B=A.
Symmetric Property of Equality
A=A

Reflexive Property of Equality

True facts about the diagram that you build upon to reach your goal, the prove statement.

Givens

Line segments that are equal in length.
Line segments that are equal in length.


Congruent Segments

If A=B, then B can replace A in any equation.

Substitution Property of Equality


Transitive Property of Congruence

If A=B, then A+C=B+C.

Addition Property of Equality

If A=B, then A–C=B–C.

Subtraction Property of Equality

If a point B lies on a line segment , then .

If point B lies on line segment AC, then


AB + BC = AC.

Segment Addition Postulate
A(B+C)=AD+BC
Distributive Property
Something that cuts an object into two equal parts. It is applied to angles and line segments.
Definition of a Bisector
A line that cuts an 
angle into two equal parts.

A line that cuts an


angle into two equal parts.

Angle Bisector
A line which cuts 
another line segment into two equal parts.

A line which cuts


another line segment into two equal parts.

Line Segment Bisector
The point of a line segment that divides it into two parts of the same length.
Definition of a Midpoint
Angle A = Angle B

Angle A = Angle B

Vertical Angles

Theorem: Vertical angles are always congruent. 
	In the figure, Angle 1  is congruent to Angle 3 and Angle 2  is congruent to Angle 4.
Theorem: Vertical angles are always congruent. In the figure, Angle 1 is congruent to Angle 3 and Angle 2 is congruent to Angle 4.

Vertical Angles Theorem

either of two angles whose sum is 180°

supplementary angle

either of two angles whose sum is 90°

complementary angle

y=mx+b
where m is the slope and b is the y-intercept.
equation of a line
parallel postulate