2.4-2.6 Review

Identify the reason that justifies the following statement.

If 3x + y = 14 and y = 9, then 3x + 9 = 14.

• Reflexive Property of Equality

• Symmetric Property of Equality

• Transitive Property of Equality

• Substitution Property of Equality

Tags

CCSS.HSA.REI.A.1

Identify the reason that justifies the following statement.

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.SRT.B.4

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.8.G.A.5

Identify the reason that justifies the following statement.

If ∠A and ∠B are complementary,

then m∠A + m∠B = 90°.

• Definition of Supplementary Angles

• Angle Addition Postulate

• Definition of Right Angle

• Definition of Complementary Angles

Tags

CCSS.7.G.B.5

Identify the reason that justifies the following statement.

If ∠1 and ∠2 are supplementary,

then m∠1 + m∠2 = 180°.

• Definition of Supplementary Angles

• Angle Addition Postulate

• Vertical Angles Theorem

• Definition of Complementary Angles

Tags

CCSS.7.G.B.5

Identify the reason that justifies the following statement.

If ∠1 = ∠2 and ∠2 = ∠3, then ∠1 = ∠3.

• Addition Property of Equality

• Symmetric Property of Equality

• Reflexive Property of Equality

• Transitive Property of Equality

Tags

CCSS.HSG.SRT.B.5

Identify the reason that justifies the following statement.

If ∠BAT and ∠MAN are vertical angles,

then ∠BAT ≅ ∠MAN.

• Vertical Angles Congruence Theorem

• Definition of Congruent Angles

• Angle Addition Postulate

• Definition of Angle Bisector

Tags

CCSS.7.G.B.5

Identify the reason that justifies the following statement.

If 5(x - 2) = 20,

then 5x - 10 = 20.

• Distributive Property of Equality

• Division Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

Tags

CCSS.HSA.REI.A.1

Identify the reason that justifies the following statement.

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.CO.C.9

Identify the reason that justifies the following statement.

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

• Segment Addition Postulate

• Angle Addition Postulate

• Definition of Congruent Segments

• Vertical Angles Theorem