Question

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

Answer 1

The answer is TUX=TSV I took the test and got a 100% boi.

Answer 2

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