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Jose was working on the proof below. He said that the statement for #2 would be TU\≅VSby the reflexive property. Identify his mistake for statement #2 and explain in a complete sentence what he did wrong and what the correct answer would be.

Jose was working on the proof below He said that the statement for 2 would be TUVSby the reflexive property Identify his mistake for statement 2 and explain in class=

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MrRoyal

The reflexive property of equality states that: If [tex]a= b[/tex], then [tex]b = a.[/tex]

The second statement is in the proof is:[tex]VU \cong ST[/tex], and not [tex]TU \cong VS[/tex]

Given that:

[tex]ST \cong VU[/tex]

So, the first statement will be:

[tex]ST \cong VU[/tex]

Because it is given

We have that:

If [tex]a= b[/tex], then [tex]b = a.[/tex]

So; Jose' statement that:

[tex]TU \cong VS[/tex] is a reflexive property of [tex]ST \cong VU[/tex] is incorrect

Because

The property if [tex]a= b[/tex], then [tex]b = a.[/tex] means that, we only need to swap the positions of ST and VU.

This gives:

[tex]VU \cong ST[/tex]

Hence, the second statement is:

[tex]VU \cong ST[/tex]

Because it is a reflexive property of [tex]ST \cong VU[/tex]

Read more about reflexive properties at:

https://brainly.com/question/862440

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