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Given: KW perpendicular to JO. JP perpendicular to KO. KW intersects JP=Q Prove: triangle OKW similar to triangle OJP

User TheGreatContini
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1 Answer

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22 votes

Answer:

OKW similar to triangle OJP using Angle Angle

Explanation:

Given

See attachment for triangles

Required

Prove their similarity

From the attachmen:


\angle JPO = \angle OWK = 90

Also:


\angle O = \angle O for both triangles i.e. reflexive property

Hence:

OKW similar to triangle OJP by AA i.e. Angle Angle

Given: KW perpendicular to JO. JP perpendicular to KO. KW intersects JP=Q Prove: triangle-example-1
User Artem Kovalov
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3.1k points