Unit 2 Test - Logic and Proof

Identify the reason that justifies the statement: "If PQ + RS = PS and RS = XY, then PQ + XY = PS".

• A. Symmetric Property

• B. Segment Addition Postulate

• C. Substitution Property

• D. Transitive Property

• Subtraction Property

Tags

CCSS.HSA.REI.A.1

Identify the reason that justifies the statement: "If CD = EF, then CD ≅ EF".

• A. Definition of Congruence

• B. Reflexive Property

• C. Symmetric Property

• D. Definition of Midpoint

• Subtraction Propery

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.8

Identify the reason that justifies the statement: "If AB + BC = AC and AC = EF + FG, then AB + BC = EF + FG".

• A. Addition Property

• B. Subtraction Property

• C. Transitive Property

• D. Segment Addition Postulate

• Definition of Midpoint

Identify the reason that justifies the statement: "If JK + LM = NP + LM, then JK = NP".

• Reflexive Property

• Substitution Property

• Addition Property

• Subtraction Property

• Angle Addition

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Given: m∠ABD + m∠DBC = m∠ABC. Identify the reason.

• Angle Addition Postulate

• Definition of Angle Bisector

• Addition Property

• Definition of Congruence

• Definition of Midpoint

Tags

CCSS.HSG.CO.C.9

Identify the reason that justifies the statement: "If ∠1 ≅ ∠2, then ∠1 ≅ ∠2"

• A. Definition of Congruence

• B. Angle Addition Postulate

• C. Linear Pair Theorem

• D. Vertical Angles Theorem

• Division Property of Equality

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.C.9

If ∠A and ∠B are complementary, then m∠A + m∠B = 90°

• Complement Theorem

• Definition of a Right Angle

• Congruent Complements Theorem

• Definition of Complementary Angles

• Linear Pair Theorem

Tags

CCSS.HSG.SRT.C.7

If l ⊥ m, then ∠1 is a right angle

• Definition of Complementary Angles

• Definition of a Right Angle

• Definition of Perpendicular

• Complement Theorem

• Definition of Supplementary Angles

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

Do you hold yourself accountable?

• yes

• no

What is reason 2?

• Given
• Addition Property of Equality
• Subtraction Property of Equality
• Substitution Property of Equality
• Definition of Angle Bisector

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.REI.C.5