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NO LINKS!! Please help me with the Segment Proofs Part 2​

NO LINKS!! Please help me with the Segment Proofs Part 2​-example-1
User Mmed
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1 Answer

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Answer:

1. Given.

2. Definition of congruent segments.

3. Segment Addition Postulate.

4. Substitution Property of Equality.

5. Transitive Property of Equality.

6. Subtraction Property of Equality.

7. Definition of congruent segments.

Explanation:

Statement 1


\overline{AB} \cong \overline{CD}; \; \overline{CE} \cong \overline{AE}

Reason: Given.

Statement 2


AB=CD; \;CE=AE

Reason: Definition of congruent segments.

Congruent segments are segments that have the same length.

Statement 3


AE+EB=AB; \; CE+ED=CD

Reason: Segment Addition Postulate.

A line segment divided into smaller pieces is the sum of the lengths of all those smaller segments.

Statement 4


CE+EB=CD

Reason: Substitution Property of Equality.

For all numbers a and b, if a=b, then a may be replaced by b in any equation or expression.

Statement 5


CE+ED=CE+EB

Reason: Transitive Property of Equality.

For all numbers a, b and c, if a=b and b=c, then a=c.

Statement 6


ED=EB

Reason: Subtraction Property of Equality.

For all numbers a, b and c, if a=b, then a-c=b-c.

Statement 7


\overline{ED} \cong \overline{EB}

Reason: Definition of congruent segments.

Congruent segments are segments that have the same length.

User Abhinav Goyal
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