24.05.2022

Use a paragraph, flow chart, or two-column proof to prove that ("zx" ) ̅ is the perpendicular bisector of side ("wy" ) ̅. given: ∠wzx ≅ ∠yzx; ("zw" ) ̅" "≅" " ("zy" ) ̅ prove: ("zx" ) ̅ is a perpendicular bisector of ("wy." ) ̅

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17.02.2022, solved by verified expert
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answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where Use a paragraph, flow chart, or two-column proof, №15218350, 24.05.2022 02:20

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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