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Answer 1

Answer:

Addition Property of Equality If AB = CD then AB + BC = BC +CD

Subtraction Property of Equality If AB + BC = BC + CD then AB = CD

Multiplication Property of Equality If m∢A = 90 then 2(m∢A) = 180

Division Property of Equaliity If 2(m∢B) = 180 then m∢B = 90

Substitution Property If m∢A + m∢B =180 and m∢B then m∢A + 90 =180

Distributive Property AB + AB = 2AB

Reflexive Property m∢B = m∢B

Symmetric Property If AB + BC = AC then AC = AB + BC

Transitive Property If AB ≅ BC and BC ≅ CD then AB ≅ CD

Segment Addition Postulate If C is between B and D, then BC + CD = BD

Angle Addition Postulate If D is a point in the interior of ∢ABC then m∢ABD + m∢DBC = m∢ABC

Linear Pair Postulate If two angles form a linear pair, then they are supplementary

Definition of Right Angle If ∢B is a right angle then m∢B = 90

Definition of Midpoint If P is the midpoint of segment AB then AP =PB

Definition of Segment Bisector If k intersects segment AB at M the Midpoint then k bisects segment AB

Definition of Perpendicular Lines If two lines are ⊥ they form right angles

Definition of Congruent Segments If AB = CD then segment AB ≅ segment CD

Definition of Congruent Angles If ∡A ≅∡ B then m∡A=m∡B

Definition of Angle Bisector If ray AB bisects ∡CAD then∡ CAB ≅ ∡ BAD

Definition of Complementary Angles If ∡ Z and ∡Y are complementary m∡Z +m∡Y =90

Definition of Supplementary Angles If ∡ S and ∡T are supplementary m∡S +m∡T = 180

Step-by-step explanation: