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Reese1394
23.03.2021 •
Mathematics
Prove segment AMAM is congruent to segment CMCM.(will mark branilest)
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Ответ:
Statement Reason
1. ∠1 and ∠3 are vertical angles. 1. Given
2. ∠1 and ∠2 form a linear pair. VAT
∠2 and ∠3 form a linear pair. 2. Definition of linear pair
3. ∠1 and ∠2 are supplementary. Substitution Property
∠2 and ∠3 are supplementary. SAME SIDE INTERIOR ANGLES THEOREM
3. VERTICAL ANGLES THEOREM
4. m∠1 + m∠2 = 180˚ SAME SIDE INTERIOR ANGLES THEOREM
m∠2 + m∠3 = 180˚ SAME SIDE INTERIOR ANGLES THEOREM
5. m∠1 + m∠2 = m∠2 + m∠3
(SUBSTITUTION PROPERTY)
6. m∠1 = m∠3 opposite angles
7. ∠1 ≅ ∠3 7. Given