The proof that UX ≅ SV is shown. Given: △STU an equilateral triangle

∠TXU ≅ ∠TVS

Prove: UX ≅ SV

Triangle T X V is shown. Point S is on side T X and point U is on side T V. A line is drawn from points S to U to form equilateral triangle T S U. Lines are drawn from point S to point V and from point U to point X and intersect at point W.

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

5. Statement: △TUX ≅ △TSV

Step-by-step explanation:

Given, triangle STU is an equilateral triangle.

To prove that

Proof:

1. Statement: ∠TXU ≅ ∠TVS

Reason: Given in question .

2. Statement: ∠STV ≅ ∠UTX

Reason: By using reflection proeperty of rotation.

3. Statement: △STU  is an equilateral triangle.

Reason:  given.

4. Statement: ST ≅ UT

Reason: Sides of equilateral triangle STU.

5. △TUX ≅ △TSV

Reason: AAS congruence property of triangle.

6. Statement:  UX ≅ SV

Reason: CPCT ( corresponding parts of congruence triangles).

Step-by-step explanation:

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0.6, 3/5, and 6% are the 3 same portion.

but, when they're all changed to a decimal they would equal to 0.6.

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