# Introduction to Proof

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 Which are correct statements regarding proofs? Check all that apply. In a paragraph proof, statements and their justifications are written in sentences in a logical order. A two-column proof consists of a list of statements and the reasons the statements are true. A paragraph proof id a two-column proof in sentence form. A flowchart proof includes a logical series of statements in boxes with connecting arrows. Given that D is the midpoint of AB and K is the midpoint of BC, which statement must be true? d. AK + BK = AC Segment AB is congruent to segment AB. This statement shows the __________ property. reflexive A two-column proof b. contains a table with a logical series of statements and reasons that reach a conclusion. A paragraph proof d. contains a set of sentence explaining the steps needed to reach a conclusion. Proof: We are given that m<AEB = 45° and <AEC is a right angle. The measure of <AEC is 90° by the definition of a right angle. Applying the _________________________ gives m<AEB + m<AEC. Applying the substitution property gives 45°, so…. angle addition postulate What is the missing justification? a. transitive property Given that BA bisects <DBC, which statement must be true? a. m

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