[Answer] Since it is given that AB ≅ AC it must also be true that AB = AC. Assume ∠B and ∠C are not congruent. Then the measure of one angle is greater than the other. If m∠B > m∠C then AC > AB because of the triangle parts relationship theorem. For the same reason if m∠B < m∠C then AC < AB. This is a contradiction to what is given. Therefore it can be concluded that ________.

Answer: Angle B is congruent to angle C

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Since it is given that AB ≅ AC it must also be true that AB = AC. Assume ∠B and ∠C are not congruent. Then the measure of one angle is greater than the other. If m∠B > m∠C then AC > AB because of the triangle parts relationship theorem. For the same reason if m∠B < m∠C then AC < AB. This is a contradiction to what is given. Therefore it can be concluded that ________. Since it is given that AB ≅ AC it must also be true that AB = AC . Assume ∠ B and ∠C are not congruent . Then the measure of one angle is greater than the other . If m∠B > m∠C then AC > AB because of the triangle parts relationship theorem . For the same reason if m∠B m∠C then AC AB . This is a contradiction to what is given . The Angle -Side Relationships theorem (or triangle parts relationship theorem ) states that if one side of a triangle is longer than another side then the angle opposite the longer side will have a greater degree measure than the angle opposite the shorter side. The converse to the Angle -Side Relationships theorem (or triangle parts relationship theorem ) states that if one angle of a triangle ... Given : ABC with AB ≅ AC Since it is given that AB ≅ AC it must also be true that AB = AC . Assume ∠ B and ∠C are not congruent . Then the measure of one angle is greater than the other . If m∠B > m∠C then AC > AB because of the triangle parts relationship theorem . For the same reason if m∠B < m∠C then AC < AB . the measure of an...

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