An isosceles triangle is one with two equal sides and two equal angles. So that the following can be deduced from the given question:
A. AB ≅ AC (segment property of isosceles triangle).
B. By the triangle sides and angle theorem.
C. Side AB is congruent to side AC (i.e AB = AC).
D. m<B = m<C (congruent angle property of isosceles triangles)
A triangle is said to be isosceles when it has two sides and angles to be equal. So that in the given question, it can be deduced that:
AB ≅ AC (segment property of isosceles triangle)
If the two base angles are not congruent, then it can be inferred that:
AB [tex]\neq[/tex] AC
Also,
If m∠B is greater than m∠C (the base angles), then segment AC is greater than AB by the triangle sides and angles theorem. The theorem state that; the longer side of a triangle is always opposite to the greater angle.
Therefore, we can not prove that side AB is congruent to AC.
Only if we want to prove that AB = AC, then;
m<B = m<C (congruent angle property of isosceles triangles)
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