Download Reflexive Property

Do-Now
Solve each equation. Show each step.
3x – 11 = 2x + 1
2(x + 5) + 3x = 11x – 2
Terms in Euclidean Geometry
Postulate – statement whose truth is accepted without proof.
Reflexive Property – a = a
Symmetric Property – If a = b, then b = a.
Transitive Property – If a = b and b = c, then a = c.
Addition Property If a = b, then a + c = b + c.
Subtraction Property If a = b, then a – c = b – c .
Multiplication Property If a = b, then a•c = b•c.
Division Property If a = b and c ≠ 0, then a c = b c.
Theorem – statement that is proved (usually by someone else).
Example: Solve 5x – 18 = 3x + 2 and write a reason for each step.
May be a
Statements
Reasons
given,
1)5x – 18 = 3x + 2 1) Given
definition,
2) 2x – 18 = 2
2) Subtraction Property of Equality
postulate, or
previously
3) 2x = 20
3) Addition Property of Equality
proved
4) x = 10
4) Division Property of Equality
theorem.
Example: Solve 55x – 3(9x + 12) = –64
and write a reason for each step.
Example: Solve 2(3x + 1) = 5x + 14 and write a reason for each step.
Example: Solve 4x – 20 + 8x = 6x – 8 and write a reason for each step.
Example: Solve 5x – 10 = 3(x + 4) and write a reason for each step.
Example: Solve 3x – 6x + 5 = 2x – 10 and write a reason for each step.
Example: Solve 5(x – 10) + 3x – 8 = 8 and write a reason for each step.