Match the following reasons with the statements given. Prove: The median from the vertex angle of an isosceles triangle divides the triangle into two congruent triangles. Given: RAS is isosceles AM is median Prove: RAM SAM 1. Triangle RAS is isosceles, AM is a median Definition of isosceles triangle. 2. AR = AS SSS 3. AM = AM Reflexive 4. MR = MS Given 5. Triangle RAM congruent to Triangle SAM Definition of median

QUESTION POSTED AT 01/06/2020 - 03:59 PM

Answered by admin AT 01/06/2020 - 03:59 PM

To prove that the median from the vertex angle of an isosceles triangle divides the triangle into two congruent triangles.

Given: RAS is isosceles AM is median, we match the statements and reasons of the proof of RAM is congruent to SAM

                                 Statement                                      Reason
1. Triangle RAS is isosceles, AM is a median                  Given
2. AR = AS                                                       
Definition of isosceles triangle.
3. AM = AM                                                                    Reflexive
4. MR = MS                                                          
Definition of median             
5. Triangle RAM congruent to Triangle SAM                     SSS

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