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

Question

asked Jul 11, 2020 144k views

2 Answers

Raubas · Answer 1 · 2020-07-15T14:36:26+0000

Answer: SSS

Explanation:

In the picture, we are given:
$\overline{TQ}\text{ bisects }\overline{RS}$

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.