Please I reall need help!!
1 answer:
Using a two-column proof, the given paragraph proof that proves AC = CE can be written as shown in the attachment below. (see attachment for image of the two-column proof).
A two-column proof is simply a table showing two columns.
The left column, you have a statement.
The right column, you have the reason that makes the statement in the left column to be true.
--
In this question, we are given a paragraph proof that proves that AC = CE.
Everything we need to prove that AC = CE have already been given in the paragraph proof. All you're to do is to translate or covert the paragraph proof to a two-column proof as shown below:
--
1. Statement: AB = CD
Reason: Given
>>
2. Statement: AB + BC = CD + BC
Reason: Addition Property of Equality
>>
3. Statement: BC = DE
Reason: Given
>>
4. Statement: AB + BC = CD + DE
Reason: Substitution Property of Equality
>>
5. Statement:
AB + BC = AC
CD + DE = CE
Reason: Segment Addition Postulate
>>
6. Statement: AC = CE
Reason: Substitution Property of Equality
--
Hence, the paragraph proof that proves AC = CE can be written as a two-column proof as shown in the attachment below.
You might be interested in