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The proof that ux ≅ sv is shown. Given: △stu an equilateral triangle ∠txu ≅ ∠tvs prove: ux ≅ sv what is the missing statement in the proof? Statement reason 1. ∠txu ≅ ∠tvs 1. Given 2. ∠stv ≅ ∠utx 2. Reflex. Prop. 3. △stu is an equilateral triangle 3. Given 4. St ≅ ut 4. Sides of an equilat. △ are ≅ 5. ? 5. Aas 6. Ux ≅ sv 6. Cpctc △sxu ≅ △tvs △uvx ≅ △sxv △swx ≅ △uwv △tux ≅ △tsv

Respuesta :

tramserran

1. ∠txu ≅ ∠tvs                1. given

2. ∠stv ≅ ∠utx               2. reflexive property

3. Δstu is equilateral     3. given

4. st ≅ ut                        4. sides of an equilateral triangle are congruent

5. Δxtu ≅ Δ vts           5. AAS

6. ux ≅ sv                       6. CPCTC


shubhamchouhanvrVT

Statement 5 is missing that is Δxtu ≅ Δ vts by Angle-Anlge-Side property.

What is the similarity?

If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.

We have the following information:-

1. ∠txu ≅ ∠tvs                1. given

2. ∠stv ≅ ∠utx               2. reflexive property

3. Δstu is equilateral     3. given

4. st ≅ ut                        4. sides of an equilateral triangle are congruent

5. Δxtu ≅ Δ vts           5. AAS

6. ux ≅ sv                       6. CPCTC

Hence the missing statement is Δxtu ≅ Δ vts by AAS property.

To know more about similarities follow

https://brainly.com/question/24184322

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