Justifying Statements in Geometry

2(3x + 4) = 6x + 8 is an example of which property?

• Community Property of Multiplication

• Distributive Property

• Commutative Property of Addition

• Associative Property of Addition

Tags

CCSS.6.EE.A.3

If 2x = 14, then x = 7

• Division Property of Equality

• Multiplication Property of Equality

• Subtraction Property of Equality

• Addition Property of Equality

Tags

CCSS.HSA.REI.A.1

If -5x - 1 = -11, then -5x = -10

• Addition Property of Equality

• Subtraction Property of Equality

• Division Property of Equality

• Multiplication Property of Equality

Tags

CCSS.HSA.REI.A.1

For any numbers a, b, and c, if a = b and b = c, then a = c.

• Transitive Property         
• Symmetric Property
• Reflexive Property
• Substitution Property

Tags

CCSS.7.EE.A.1

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.GPE.B.6

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.4.MD.C.7

If DB bisects ∠ABC, then ∠ABD = ∠CBD.

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

Tags

CCSS.HSG.SRT.B.5

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

• Segment Addition Postulate
• Angle Addition Postulate
• Definition of Congruent Segments
• Vertical Angles Theorem

Which property says that if m∠1 = m∠3, then m∠1 + m∠2 = m∠3 + m∠2?

• Addition Property

• Subtraction Property

• Multiplication Property

• Division Property

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

• Definition of Right Angle

• Definition of Perpendicular Lines

• Angle Addition Postulate

• Segment Addition Postulate

Tags

CCSS.4.G.A.1