Prove: AB ≅ AC
![subject](/tpl/images/cats/mat.png)
Mathematics, 17.12.2020 21:10 at28235
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
![ansver](/tpl/images/cats/User.png)
Answers: 1
Another question on Mathematics
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 15:20
The speed of a falling object increases at a constant rate as time increases since the object was dropped. which graph could represent the relationship betweent time in seconds, and s, speed in meters per second? speed of a falling object object over time
Answers: 1
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/mat.png)
Mathematics, 22.06.2019 01:00
How would you find the height of points on the circle? the topic is trigonometry.
Answers: 3
You know the right answer?
Consider the diagram and proof by contradiction.
Given: △ABC with ∠B ≅ ∠C
Prove: AB ≅ AC
Prove: AB ≅ AC
Questions
![question](/tpl/images/cats/mat.png)
Mathematics, 13.07.2020 17:01
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/ekonomika.png)
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/mat.png)
Mathematics, 13.07.2020 17:01
![question](/tpl/images/cats/mat.png)
Mathematics, 13.07.2020 17:01
![question](/tpl/images/cats/istoriya.png)
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/mat.png)
Mathematics, 13.07.2020 17:01
![question](/tpl/images/cats/mat.png)
Mathematics, 13.07.2020 17:01
![question](/tpl/images/cats/mat.png)
Mathematics, 13.07.2020 17:01
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/istoriya.png)
![question](/tpl/images/cats/istoriya.png)
History, 13.07.2020 17:01
![question](/tpl/images/cats/obshestvoznanie.png)
![question](/tpl/images/cats/es.png)
Spanish, 13.07.2020 17:01