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Justify the last two steps of the proof.

Justify the last two steps of the proof.-example-1
User Nick ODell
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2 Answers

1 vote

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.

User Amith Kumar
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6.9k points
1 vote
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.
User Otabek Kholikov
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7.1k points