Prove: AB ≅ AC
Mathematics, 14.06.2020 00:57 KaseyT
Consider the diagram and proof by contradiction.
Given: △ABC with ∠B ≅ ∠C
Prove: AB ≅ AC
Triangle A B C is shown. Angles A B C and B C A are congruent.
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?
converse of the triangle parts relationship theorem
substitution
definition of congruency
converse of the isosceles triangle theorem
Answers: 3
Mathematics, 21.06.2019 18:30
Iwill give ! if m∠a=59 and m∠3=81°, what is m∠b? m∠b= _[blank]_°
Answers: 2
Mathematics, 22.06.2019 00:00
Answer asap! show all work! find the number of complex roots, the possible number of real roots and the possible rational roots of the polynomial function. then, solve for all roots. x^3 + 2x^2 + 3x + 6 = 0
Answers: 1
Mathematics, 22.06.2019 00:40
Can you divide 25 into 4 equal groups? explain why or why not.
Answers: 1
Consider the diagram and proof by contradiction.
Given: △ABC with ∠B ≅ ∠C
Prove: AB ≅ AC
Prove: AB ≅ AC
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