micawalk4530
Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

Given: RS is the perpendicular bisector of AB
Prove: RA ≅ RB

Given RS Is The Perpendicular Bisector Of AB Prove RA RB class=

Sagot :

Answer:

See answer below

Step-by-step explanation:

RS ⊥ bisector of AB                                   Given

AS ≅ BS                                                       Definition of ⊥ bisector

∠RSB is a right angle                                  Given

∠RSB = 90°                                                  Definition of right angle

∠RSB & ∠RSA form a linear pair                Definition of linear pair  

∠RSB + ∠RSA = 180                                     A linear pair = 180°

   90° +  ∠RSA = 180°                                   Substitution

     ∠RSA =   90                                            Subtraction

   ∠RSB = ∠RSA                                            Substitution            

    ∠RSB ≅ ∠RSA                                         If equal then congruent

   RS ≅   RS                                                  Reflexive

  Δ RAS ≅ ΔRBS                                           SAS

      RA ≅ RB                                                 CPCTC    (corresponding parts of

                                                                                     congruent triangles  ≅

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.