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Finish the proof that segment BC `cong` segment DE by filling in the missing statement...

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novjb | Salutatorian

Posted July 4, 2013 at 1:28 AM via web

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Finish the proof that segment BC `cong` segment DE by filling in the missing statement and reasons.

Statements                              Reasons

1._______                              1.Given

2.<BAC`cong` <DAE                       2.________

3.segment AC `cong` segment AE   3.Given

4.______                                4.__________

5. segment BC `cong` segment DE   5.__________

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ishpiro | Teacher | (Level 2) Associate Educator

Posted July 4, 2013 at 1:49 AM (Answer #1)

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1.  `AB cong AD`      1. given (as indicated by the marks on the picture)

2. `<BAC cong <DAE`        2. Angles with colinear sides are congruent

 

3. `AC cong AE`                     3. Given

4. `Delta AED cong Delta ABC`      4. Triangles are congruent when two sides and the angles in between them are congruent.

5.`BC cong DE`                      5. In congruent trianlges, all sides are congruent.

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