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statement reason
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1.angle CDE congruent to angle CED 1.Givens
AD congruent to EB
2.CDA + CDE = 180 2.Partition postulate
CEB + CED = 180
3.CDA+CDE = CEB+CED 3.transitive prop.
4.CDE+CDE = CEB+CDE 4.substition prop(CDE congruent CED)
5.CDE congruent CBE 5.subtraction prop.
6.CD congruent to CE 6.corresponding sides and angles of
isosceles triangle are congruent
7.tri ACD congruent tri BCE 7.SAS
8.ACD congruent BCE 8. CPCTC
partition post.-the whole is equal to the sum of the parts.
:
SAS- If two sides and the included angle of one triangle ar congruent
to the correspoinding parts of another triangle then triangles are congruent
:
CPCTC- Corresponding parts of congruent triangles are congruent