Answer :

MissPhiladelphia
ST = TS is reflexive property
 
Note: ST and TS refer to the same segment

Triangle RST = Triangle UTS by the SSS property of congruence
 you can probably just get away with saying SSS for that line.

I hope this helps.
lublana

Answer with Step-by-step explanation:

We are given that

[tex]RS\cong UT[/tex] and [tex]RT\cong US[/tex]

We have to prove that [tex]\triangle RST\cong \triangle UTS[/tex]

We have to find the missing reason in given proof.

Proof:

Statement 1:[tex]RS\cong UT[/tex]

Reason: given

Statement 2:[tex]RT\cong US[/tex]

Reason: given

Statement 3:[tex]ST\cong TS[/tex]

Reason:Reflexive property

Statement 4:[tex]\triangle RST\cong \triangle UTS[/tex]

Reason:SSS postulate

SSS congruence property: when three sides of one triangle are congruent to corresponding sides of other triangle.Then, two triangles are congruent by SSS Postulate.

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