Day 2 Notes Paragraph Proofs Pre­AP Geometry
Notes 2.5
Paragraph Proofs
Name_________________________
Date________________Per_______
* deductive Proof: A logical argument that uses ___________ reasoning to reach a * conclusion valid _____________.
* statement Paragraph Proof: Write a paragraph to explain why a _____________ * true
is ________.
* proved
Theorem: A statement that can be ___________ true
The Midpoint Theorem
1. Given: M is the midpoint of . Prove: M is the midpoint of , then from the def. of midpoint of a segment, we know PM = MQ. This means that and have the same measure. By the def. of congruence, if two segments have the same measure, then they are congruent.
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2. It is given that , M is the midpoint of , and N is the midpoint of . Write a paragraph proof to show that BM = EN.
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3. Given that S is the midpoint of , T is the midpoint of , and P is the midpoint of , write a paragraph proof to show that QS = TR.
R
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Q
S
P
T
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