Proof Properties

Which postulate or definition states that
m∠ADB + m∠BDC = m∠ADC?

• Segment Addition Postulate
• Angle Addition Postulate
• Definition of Angle Bisector
• Definition of Congruent Angles

Tags

CCSS.HSG.CO.A.1

If m∠1 = m∠2 and m∠2 = m∠3, then m∠1 = m∠3.

• Addition Property of Equality

• Symmetric Property of Equality

• Reflexive Property of Equality

• Transitive Property of Equality

If ∠CAT is a right angle, then m∠CAT = 90°.

• Definition of Right Angle
• Definition of Congruent Angles
• Angle Addition Postulate
• Segment Addition Postulate

Tags

CCSS.HSG.CO.A.1

If DB bisects ∠ABC, then m∠ABD = m∠CBD.

• Definition of Congruent Angles

• Definition of Angle Bisector

• Angle Addition Postulate

• Definition of Right Angle

If O is between FX, then FO + OX = FX.

• Segment Addition Postulate

• Angle Addition Postulate

• Definition of Congruent Segments

• Vertical Angles Theorem

If 5x = 30,

then x = 6.

• Division Property of Equality

• Multiplication Property of Equality

• Addition Property of Equality

• Subtraction Property of Equality

Name the Property that the statement illustrates:

If KL=OP then OP=KL

• Symmetric Property

• Reflexive Property

• Substitution Property

• Transitive Property

Name the Property that the statement illustrates:

MN = MN

• reflexive property

• symmetric property

• transitive property

• multiplication property

If ∠1 and ∠2 are a linear pair, then m∠1 + m∠2 = 180°.

• Definition of Supplementary

• Definition of Congruent Angles

• Angle Addition Postulate

• Definition of Linear Pair

If B is the midpoint of AC, then AB ≅ BC.

• Definition of Congruent Segments
• Definition of Midpoint
• Vertical Angles Theorem
• Definition of Angle Bisector

Tags

CCSS.HSG.CO.C.10