2-5 reasoning in algebra and geometry. properties of equality
Post on 23-Dec-2015
213 Views
Preview:
TRANSCRIPT
2-5 Reasoning in Algebra and Geometry
Properties of Equality
The Distributive Property
Problem 1: Justifying Steps when Solving an Equation
What is the value of x? Justify each step
1) 180
2)2 30 180
3)3 30 180
4)3 150
5) 50
AOM MOC
x x
x
x
x
Problem 1: Justifying Steps when Solving an Equation
What is the value of x? Justify each step
1) 2 75
2) 75
3) 75
x x
x
x
Properties of Congruence
Problem 2: Using Properties of Equality and Congruence
What is the name of the property of equality or congruence that justifies going from the 1st statement to the second statement?
What is the name of the property of equality or congruence that justifies going from the 1st statement to the second statement?
What is the name of the property of equality or congruence that justifies going from the 1st statement to the second statement?
Proof: a convincing argument that uses deductive reasoning (shows why a conjecture is true)
Two-Column Proof: lists each statement on the left and the justification or reason for each statement on the right. Each step must follow logically from the steps before it.
Problem 3: Writing a Two-Column Proof
1) 1 3
2) 2 2
3) 1 2 3 2
4) 1 2
3 2
5)
m m
m m
m m m m
m m AEC
m m DEB
m AEC m DEB
1)
2)
3)
4)
5)
6)
7)
AB CD
AB CD
BC BC
AB BC BC CD
AB BC AC
BC CD BD
AC BC
AC BC
top related