The neighborhood association sent a survey asking families to rank their concerns for the neighborhood. the four items listed were crime, recycling, speeding, and trash collection. in how many ways can a family answer this survey?

Step-by-step explanation:

              Statements                                            Reasons

1). Triangle ABC is isosceles. D is          1). Given

   the midpoint of AC.

2). AD ≅ DC                                            2). Definition of midpoint

3). BA ≅ BC                                             3). Definition of an isosceles

                                                                     triangle.

4). BD exists                                            4). A single line segment can be

                                                                    drawn between any two points.

5). BD ≅ BD                                            5). Reflexive property

6). ΔABD ≅ ΔCBD                                 6). By SSS property of congruence

7). ∠BAC ≅ ∠BCA                                  7). CPCTC