Given: In triangle ABC, BC Prove: ABAC
Complete the paragraph proof.
We are given that B - C. Assume segment AB is not
congruent to
If AB > AC, then m_C>m_B by the
A
If AB < AC, then m_C < m_B by the converse of the
triangle parts relationship theorem.
But by the definition of congruent, we know the
measure of angle B equals the measure of
by the given statement. Therefore, we
have a contradiction: AB = AC, and AB - AC.
B
С