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GEOMETRY, H
Mrs. Diaz
NAME:_______________________________
DATE:_______________________________
UNIT 2
ASSIGNMENT #1
Reasoning in Algebra with Geometry
DIRECTIONS: We are going to write a proof for the statement below, but before that
lets work on our “Think Plan.”
Write a two-column proof.
Given: KM = 35
Prove: KL = 15
Know
1. What information are you given?
2. Use the figure. What information do you know from the figure?
Need
3. To solve the problem, what will you need to prove?
Plan
4. You can determine information using the figure. Analyze the figure. What equation
can you write?
5. How can you use the equation
and the information you know
to find the value of x?
6. How can you use the value of x
to show that KL = 15?
7. Use the space below to write the proof.
Statements
1) KM = 35
Reasons
1) Given
2) ____________________________
2) ____________________________
3) ____________________________
3) ____________________________
4) ____________________________
4) ____________________________
5) ____________________________
5) ____________________________
6) ____________________________
6) ____________________________
7) ____________________________
7) ____________________________
8) ____________________________
8) ____________________________
Additional Vocabulary Support
Concept List
Addition Property of Equality
Distributive Property
Division Property of Equality
Multiplication Property of Equality
Reflexive Property of Equality
Substitution Property
Subtraction Property of Equality
Symmetric Property of Equality
Transitive Property of Equality
Choose the concept from the list above that best represents the item in each box.
1. If a = b,
then a + c = b + c
4. If a = b, and b = c, then
2. If a = b, and c  0,
then
a b

c c
5. If a = b, then b = a
a=c
7. 3(12 – 4)
= (3)(12) – (3)(4)
3. 12.5 = 12.5
6. If a = b, then
a·c=b·c
8. If a = b, then
a–c=b–c
9. a = –4
6a + 2 = 6(–4) + 2