Logic and Proofs Review

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

If k = 3, then 3 = k.

• Substitution Property of Equality
• Reflexive Property of Equality
• Symmetric Property of Equality
• Transitive Property of Equality

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

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 ∠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.HSG.CO.A.1

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.HSG.CO.A.1

CCSS.HSG.CO.C.9

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.CO.C.9

If ∠BAT and ∠MAN are vertical angles,
then ∠BAT ≅ ∠MAN.

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

Tags

CCSS.HSG.CO.C.9

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

CCSS.HSG.CO.D.12

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

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

If x = y, then x + 5 = y + 5.

• Addition Property of Equality
• Subtraction Property of Equality
• Reflexive Property of Equality
• Transitive Property of Equality

Tags

CCSS.HSA.REI.A.1