2.5 Reasoning in Algebra and Geometry Assignment
Name: _____________________
Name the property of equality or congruence that justifies going from the first statement to the second statement.
1. 2x + 1 = 7
2. ST  QR
3. AB – BC = 12
2x = 6
QR  ST
AB = 12 + BC
Property:_____________________
Property: ______________________
Property:________________
5. Given: C is the midpoint of AD
4x
4.
Prove: x = 6
Statements
Reasons
1. 5x + 1 = 21
2. 5x = 20
3. X = 4
1.________
2. ________
3. _________
Statements
1. C is the midpoint of AD
2. AC  CD
3. AC = CD
4. 4x = 2x + 12
5. _________
6. x = 6
6. Fill out the following proof.
Given: KM = 35
Prove: KL = 15
Statements
Reasons
1. KM = 35
1.
2. KL + LM = KM
2.
3.
3.
4.
4.
5.
5.
6.
6.
7.
7.
8.
8.
A
2x + 12
C
D
Reasons
1. _________
2. _________
3. Congruent segm. Have equal length
4. _________
5. Subtraction Property of Equality
6. Division Property of Equality