Justify the last two steps of the proof.
Justify the last two steps of the proof.
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.
Answer with Step-by-step explanation:
We are given that
\(RS\cong UT\) and \(RT\cong US\)
We have to prove that \(\triangle RST\cong \triangle UTS\)
We have to find the missing reason in given proof.
Proof:
Statement 1:\(RS\cong UT\)
Reason: given
Statement 2:\(RT\cong US\)
Reason: given
Statement 3:\(ST\cong TS\)
Reason:Reflexive property
Statement 4:\(\triangle RST\cong \triangle UTS\)
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.