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Complete the following proof related to the figure below.


Given: bisects RT = ST

Prove:


Which of the following would be the reason for line 4 in the proof?

SSS

ASA

SAS

Complete the following proof related to the figure below Given bisects RT ST Prove Which of the following would be the reason for line 4 in the proof SSS ASA SA class=

Respuesta :

5naka

the answer is SSS man

JeanaShupp

Answer:   SSS  

Step-by-step explanation:

In the picture, we are given: [tex]\overline{TQ}\text{ bisects }\overline{RS}[/tex]

RT=ST

Now, in ΔRTQ and ΔSTQ, we have

RT=ST

RQ=SQ   [Definition of bisector of segment]

TQ=TQ     [Reflexive property]

By SSS property of congruence, we have

ΔRTQ ≅ΔSTQ

  • SSS property of congruence tells that if all three sides in a triangle have the same length as the corresponding sides in the other triangle then the triangles are said to be congruent.

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