If in Fig 6.1, O is the point of intersection of two chords AB
and CD such that OB = OD, then triangles OAC and ODB are
(A)equilateral but not similar
(B) isosceles but not similar
(C) equilateral and similar
(D) isosceles and similar
Last updated at Aug. 11, 2021 by Teachoo
Transcript
Question 1 If in Fig 6.1, O is the point of intersection of two chords AB and CD such that OB = OD, then triangles OAC and ODB are equilateral but not similar (B) isosceles but not similar (C) equilateral and similar (D) isosceles and similar Here, In Δ OAC OA = OC = Both Radius And, In Δ ODB OD = OB = Both Radius Thus, Δ OAC and Δ OAC are isosceles triangles Also, ∠ ODB = OAC Now, In Δ OAC & Δ ODB OA = OD ∠ ODB = OAC OC = OB ∴ Δ OAC ≅ Δ ODB Since congruent triangles are also similar ∴ Δ OAC ~ Δ ODB Hence, Δ OAC & Δ ODB are Isosceles Similar So, the correct answer is (D)
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