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.
