Proof Properties - the NOTES

If 7m = 35, then 7m + 4 = 35 + 4

• Addition

• Subtraction

• Multiplication

• Division

If x=y then 3x=3y

• multiplication

• addition

• reflexive

• symmetric

If 5(x - 2) = 20,

then 5x - 10 = 20.

• Distributive

• Division

• Subtraction

• Multiplication

If a = b and b = c, then a = c.

• Transitive

• Symmetric

• Reflexive

• Substitution

If m∠1 = 63 and m∠1 + m∠2 = 90, then

63 + m∠2 = 90

• Reflexive

• Symmetric

• Transitive

• Substitution

If a = b, then b = a.

• Transitive

• Reflexive

• Symmetric

• Substitution

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

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.7.G.B.5

If AC ⟂ BD, then ∠DBC is a right angle.

• Definition of Perpendicular Lines
• Definition of Right Angle
• Angle Addition Postulate
• Segment Addition Postulate

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

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

• Reflexive

• Symmetric

• Transitive

• Substitution