Question

Given: ABC , BD is an altitude to side AC, & D is a midpoint Prove: AB BC

Answer 1

Answer:

Step-by-step explanation:

BD is an altitude                            given

D is midpoint of AC                       given

BD ⊥ AC                                         an altitude is a perpendicular segment

                                                       from a vertex to the opposite side

AD = DC                                         because BD is a perpendicular bisector

BD = BD                                          reflexive property

∠ADB ≅ ∠CDB                               because BD ⊥ AC

ΔADB ≅ ΔCDB                              SAS

AB ≅BC                                          corresponding sides of congruent triangles

                                                        are congruent

Answer 2

Answer:

steps below

Step-by-step explanation:

BD⊥AC    ∠ADB = ∠CDB = 90°

D is mid-point: AD = CD

BD = BD

ΔADB ≅ ΔCDB

AB = BC