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: |
angle addition postulate |
What is the missing justification? |
a. transitive property |
Given that BA bisects <DBC, which statement must be true? |
a. m<ABD = m<ABC |
Given that <ABC ~= <DBE, which statement must be true? |
b. <ABD ~= <CBE |
The last line of a proof represents |
c. the conclusion. |
If m<A = M<B and m<A + m<C = <D, then m<B + m<C = <D. Which property is shown? |
b. substitution property. |
Which statement is true about the diagram? |
a. K is the midpoint of AB |
Which statement is true about the given information? |
c. BD ~= CE |
Introduction to Proof
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