Question: Given that ABC is an isosceles triangle with AB is congruent to AC and AD bisecting

Given that ABC is an isosceles triangle with AB is congruent to AC and AD bisecting

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Option A:

  1. AB is congruent to AC (Given)
  2. AD bisects
  4. AD is congruent to AD (Reflex prop of congruency)
  5. Triangle BAD is congruent to Triangle CAD (SAS Steps 1, 3, 4)

Option B:

  1. AB is congruent to AC (Given)
  2. AD bisects
  4. AD is congruent to BD (Sym. Prop of congruency)
  5. Triangle BAD is congruent to CAD (SAS Steps 1, 3, 4)

Option C:

  1. AB is congruent to AC (Given)
  2. AD bisects
  3. BD is congruent to AD (Def of bisect)
  4. BD is congruent to DC (Sym. Prop of congruency)
  5. Triangle BAD is congruent to Triangle CAD (SAS steps 1, 3,4)

Option D:

  1. AB is congruent to AC (Given)
  2. AD bisects
  3. BD is congruent to DC (Def. of bisect)
  4. AD is congruent to AD (Reflex. Prop of congruency)
  5. Triangle BAD is congruent to Triangle CAD (SAS Steps 1, 3, 4)

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