Consider the diagram and proof by contradiction.
Given: △ABC with AB ≅ AC
Triangle A B...
Mathematics, 02.12.2021 03:40 eaves001
Consider the diagram and proof by contradiction.
Given: △ABC with AB ≅ AC
Triangle A B C is shown. The lengths of sides A B and A C are congruent.
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 .
AB ≠ AC
∠B ≅ ∠C
ABC is not a triangle
∠A ≅ ∠B ≅ ∠C
Answers: 3
Mathematics, 21.06.2019 13:30, brittanydeanlen
Answer the questions in the attachment. a rescue helicopter is at point a and a rescue boat is at point e. the helicopter pilot spots boats in distress at points d and c, with angles as marked in the diagram. figure abce is a rectangle. the altitude of the rescue helicopter, represented by ae, is 5000 feet.
Answers: 1
Mathematics, 21.06.2019 17:00, smelcher3900
The angle of a triangle are given as 6x,(x-3), and (3x+7). find x then find the measures of the angles
Answers: 2
Mathematics, 21.06.2019 21:50, spookymod8967
What is the 17th term in the arithmetic sequence in which a6 is 101 and a9 is 83
Answers: 3
Biology, 25.08.2019 06:30
Social Studies, 25.08.2019 06:30
Mathematics, 25.08.2019 06:30
History, 25.08.2019 06:30
Mathematics, 25.08.2019 06:30
Business, 25.08.2019 06:30