Help with Geometry Proofs: Proving Congruent Angles

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    Geometry Proofs
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SUMMARY

The discussion centers on proving the congruence of angles in a geometry problem involving Angle ABG, Angle DEH, Angle GBC, and Angle HEF. The user needs to demonstrate that Angle ABC is congruent to Angle DEF based on the given congruences. The solution involves applying the properties of congruence and the angle addition postulate. The user also requires a statement and reason chart to accompany the proof.

PREREQUISITES
  • Understanding of angle congruence properties
  • Familiarity with the angle addition postulate
  • Knowledge of constructing statement and reason charts
  • Basic skills in geometric proofs
NEXT STEPS
  • Study the properties of congruent angles in geometry
  • Learn how to apply the angle addition postulate effectively
  • Practice creating statement and reason charts for geometric proofs
  • Explore additional examples of angle congruence proofs
USEFUL FOR

Students studying geometry, particularly those working on proofs involving angle congruence, and educators looking for examples of teaching geometric proof techniques.

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Well, I have a take-home quiz and I need help with 6 geometry proofs. It is due tomorrow (Monday) and I honestly have no clue about any of it... here is the first question, please help me!

Homework Statement


Given: Angle ABG is congruent to Angle DEH
Angle GBC is congruent to Angle HEF

Prove: Angle ABC is congruent to Angle DEF

If you need a picture, let me know! Ill make one in paint.

I also need a statement and reason chart to go with it, I know the concept of making one, just need help solving and making the steps!

Homework Equations





The Attempt at a Solution

 
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ABG and DEH are congruent
GBC and HEF are congruent

angle ABG = angle DEH
angle GBC = angle HEF

AGB + GBC = DEH + HEF

ABC is congruent with DEF

Can you give reasons why this is?
(Hint: the first is given, the second has to do with properties of congruence)
 

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