Properties of Equality
What is the addition and subtraction property if A=B?
Addition: A+C = B+C
Subtraction: A-C = B-C
What is Reflexive Property of Congruence?
Segment AB ≅ Segment AB
It is a RAY that divides an angle into two congruent angles
What is the Symbolic form of the Segment Addition Postulate?
Segment AB + Segment BC = Segment AC
In your own words, describe the vertical angles theorem and give an example
\ 25 /
/\
/ 25 \
/ \
What is the multiplication and division property if A=B?
Multiplication: AxC = BxC
Division: A/C = B/C
What is Symmetric Property of Congruence?
If Segment AB ≅ Segment CD, then Segment CD ≅ Segment AB
What is the definition of Perpendicular?
When two lines intersect and form right angles
What is the symbolic form of the Angle Addition Postulate?
The measure of angle ABD + angle DBC = angle ABC
What does the Congruent Supplements Theorem say?
If two angles are supplementary to the same angle, then those two separate angles are congruent
Apply the Distributive Property to A(B+C).
AB+AC
What is Transitive Property of Congruence?
If Segment AB ≅ Segment CD and Segment CD ≅ Segment EF then Segment AB ≅ Segment EF
What are angles called that add up to 180 degrees? What about 90 degrees
Supplementary and Complementary angles
If angle ABD = 76 and Ray AD is an angle bisector, what is the measure of angle ABC?
152 Degrees
What is the Linear Pair Theorem? What is its secondary name?
If two angles form a linear pair, then they are also supplementary. Supplement Theorem is its secondary name
What is the literal language for Symmetric Property?
If A = B then B = A
Create an example of the Transitive Property of Congruence
See boards
What is the distinction between a Linear Pair and Supplementary angles?
Both can be true at the same time, but Linear Pairs share a common side and are adjacent angles
Point B lies between points A and C on a line. If AB = 2x + 3, BC = x – 1, and AC = 14, what is the value of AB?
x=4
AB= 11
What is the Complement Theorem?
When two angles form a right angle, they are complementary.
What property uses A=B, B=C, and A=C?
Transitive Property
What is the difference between the properties of equality and the properties of congruence?
Numbers and Shapes - Explain*
The definition of Congruence is which of the following types of statements?
A. Conditional Statement
B. Biconditional Statement
C. Postulate
D. Theorem
Ray BD lies in the interior of ∠ABC. If ∠ABD = 3x + 5, ∠DBC = 2x – 1, and ∠ABC = 64°
what is the value of DBC
x=12
DBC= 23
What is the distinction between the Congruent Supplements Theorem and the Definition of Supplementary Angles?
The Congruent Supplements Theorem allows you to prove that two angles are congruent based on their relationship to a third angle while the Definition of Supplementary Angles simply says two angles that add up to 180 degrees are Supplementary.