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Vlad [161]
3 years ago
15

Please I reall need help!!

Mathematics
1 answer:
Eduardwww [97]3 years ago
3 0

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.

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