The set {0, 2, 5} is under addition, as is illustrated by the fact that adding 2 and 5 results in 7, which is not included in the set. The set of all integers is closed under addition, as is illustrated by the fact that adding -20 and 6 result in -14, which is in the set. The set of all polynomials is under addition, which is illustrated by the fact that adding 3x2 − 2 and 7x4 + 4x results in 7x4 + 3x2 + 4x − 2, which is in the set.

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.

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i hope this with your

then