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

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  1. Chapter 6 Class 10 Triangles (Term 1)
  2. Serial order wise

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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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.