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Side Side Side Postulate-> If the three sides of a triangle are congruent to the three sides of another triangle, then the two triangles are congruent. |
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1) AB = AC | 1) Given |
2) AD is a median | 2) Given |
3) BD = DC | 3) By definition of median. |
4) AD = AD | 4) Reflexive (common side) |
5) ΔADC ≅ ΔADB | 5) By SSS postulate |
6) ∠ABD = ∠ACD | 6) CPCTC |
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1) AB = AC | 1) Given |
2) BD = CD | 2) Given |
3) AD = AD | 3) Reflexive (common side) |
4) ΔABD ≅ ΔACD | 4) By SSS postulate |
5) ∠BAP = ∠CAP | 5) By CPCTC ∠BAD = ∠CAD |
6) AP = AP | 6) Reflexive(common side) |
7) ΔBAP ≅ ΔCAP | 7) By SAS postulate |
8) ∠APB = ∠APC | 8) CPCTC |
9) BP = CP | 9) CPCTC |
10) ∠APB + ∠APC = 180 | 10) These two angles are linear pair angles and they are supplementary |
11) 2∠APB = 180 | 11) Addition property |
12) ang;APB = 900 | 12) Division property |
13) AP is the perpendicular bisector of BC | 13) By definition of perpendicular bisector and from (9) and (12) |
Russia-Ukraine crisis update - 3rd Mar 2022
The UN General assembly voted at an emergency session to demand an immediate halt to Moscow's attack on Ukraine and withdrawal of Russian troops.