Select the correct answer. given: ∆abc is an isosceles triangle where ab = bc prove: m∠bac = m∠bca statement reason 1. let ∆abc be an isosceles triangle where ab = bc. given 2. create point d on side so that bisects ∠abc as shown. constructing an angle bisector 3. m∠abd = m∠cbd 4. bd = bd reflexive property of equality 5. ∆abd ≅ ∆cbd sas 6. m∠bac = m∠bca corresponding angles of congruent triangles have equal measures. what is the reason for statement 3 in this proof? a. definition of angle bisector b. alternate interior angles theorem c. corresponding angles theorem d. corresponding angles of congruent triangles are congruent.

A. definition of angle bisector

Step-by-step explanation:

Since, An angle bisector always divides an angle into two congruent angles.

Given: ∆ABC is an isosceles triangle

Where AB = BC

Prove: m∠BAC = m∠BCA

              Statement                                                          Reason

1. Let ∆ABC be an isosceles triangle where AB = BC  1. Given

2. Create point D on side so that bisects ∠ABC          2. constructing an                              

                                                                                         angle bisector

3.m∠ABD = m∠CBD                                                        3. definition of angle                          

                                                                                          bisector

4. BD = BD                                                                       4.Reflexive Property of  

                                                                                          Equality

5.∆ABD ≅ ∆CBD                                                             5. SAS

6. m∠BAC = m∠BCA                                                       6. CPCTC

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: