KnowledgeBoat Logo

Mathematics

In the given figure, OD = 2 × OB, OC = 2 × OA and CD = 2 × AB then △ AOB ~ △ COD by :

  1. AA

  2. SS

  3. SAS

  4. SSS

In the given figure, OD = 2 × OB, OC = 2 × OA and CD = 2 × AB then △ AOB ~ △ COD by : Similarity, Concise Mathematics Solutions ICSE Class 10.

Similarity

6 Likes

Answer

Given,

⇒ OD = 2 × OB

⇒ ODOB\dfrac{OD}{OB} = 2 …….(1)

⇒ OC = 2 × OA

⇒ OCOA\dfrac{OC}{OA} = 2 …….(2)

⇒ CD = 2 × AB

⇒ CDAB\dfrac{CD}{AB} = 2 …….(3)

From equation (1), (2) and (3), we get :

⇒ ODOB=OCOA=CDAB\dfrac{OD}{OB} = \dfrac{OC}{OA} = \dfrac{CD}{AB}

∴ △ AOB ~ △ COD (By S.S.S. postulate)

Hence, Option 4 is the correct option.

Answered By

3 Likes

Related Questions