The correct statement is that it is done by the converse of the triangle parts relationship theorem. The correct answer is option D.
The complete answer is given below and the figure is attached with the answer.
Consider the diagram and proof by contradiction.
Given: △ABC with ∠B ≅ ∠C
Prove: AB ≅ AC
It is given that ∠B ≅ ∠C. Assume AB and AC are not congruent. If AB > AC, then m∠C > m∠B by ________. If AC > AB, then m∠B > m∠C for the same reason. However, using the given statement and the definition of congruency, we know that m∠B = m∠C. Therefore, AB = AC and AB ≅ AC.
What is the missing reason in the proof?
the converse of the triangle parts relationship theorem
substitution
definition of congruency
the converse of the isosceles triangle theorem
What is the triangle?
Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
Isosceles triangle two sides of the triangle are equal and their opposite angles too.
Given
△ABC with ∠B ≅ ∠C
Prove that
AB ≅ AC
How to give a conclusion?
From the definition of the Isosceles triangle, it is proved that if ∠B ≅ ∠C Then AB ≅ AC. We know that if the length o the side increases then the opposite angle decreases. It is done by the converse of the triangle parts relationship theorem.
More about the triangle link is given below.
brainly.com/question/25813512
SPJ1
