455,945 views
36 votes
36 votes
Given: KW perpendicular to JO. JP perpendicular to KO. KW intersects JP=Q Prove: triangle OKW similar to triangle OJP

User TheGreatContini
by
2.9k points

1 Answer

22 votes
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
by
3.1k points