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

since we know that the two functions are equal, f (x) = g

(x), therefore when we equate the two equations the result should be similar to

3x = x – 4:

a. f(x) = 3x, g(x) = x – 4

equating the two functions:

3x = x – 4             (correct)

so we now got our answer (a)