In the given figure- OA-OB- OC-OD- angle AOB-angle COD- Which of the following statements is true- -AC-CDOA-ODAC-BDangle OCA-angle ODC

Question

Toppr Admin · Accepted Answer

The correct option is C AC-BDIn -x25B3-s AOC-xA0- and BODOA-OB-xA0-xA0-xA0-xA0-xA0-xA0-xA0-xA0-xA0- -Given-OC-OD-xA0-xA0-xA0-xA0-xA0-xA0-xA0-xA0-xA0- -Given-x2220-AOB-x2212-x2220-COB-x2220-COD-x2212-x2220-COB-i-e- -x2220-AOC-x2220-BOD-x2234- -x25B3-AOC-x2245-x25B3-BOD-xA0-xA0-xA0-xA0-xA0-xA0-xA0-xA0-xA0- -SAS-x21D2- AC-BD-xA0-xA0-xA0-xA0-xA0-xA0-xA0-xA0-xA0- -cpct-

In the given figure, $O A = O B, O C = O D, ∠ A O B = ∠ C O D .$ Which of the following statements is true $?$

$A C = C D$
$O A = O D$
$A C = B D$
$∠ O C A = ∠ O D C$

The correct option is C $A C = B D$
In $△$ s $A O C$ and $B O D$
$O A = O B$ (Given)
$O C = O D$ (Given)
$∠ A O B - ∠ C O B = ∠ C O D - ∠ C O B,$
i.e., $∠ A O C = ∠ B O D$
$∴$ $△ A O C ≅ △ B O D$ (SAS)
$\Rightarrow$ $A C = B D$ (cpct)

In the given figure, OA=OB,OC=OD,∠AOB=∠COD. Which of the following statements is true?AC=CDOA=ODAC=BD∠OCA=∠ODC

The correct option is C AC=BDIn △s AOC and BODOA=OB (Given)OC=OD (Given)∠AOB−∠COB=∠COD−∠COB,i.e., ∠AOC=∠BOD∴ △AOC≅△BOD (SAS)⇒ AC=BD (cpct)

In the given figure, $O A = O B, O C = O D, ∠ A O B = ∠ C O D .$ Which of the following statements is true $?$

$A C = C D$
$O A = O D$
$A C = B D$
$∠ O C A = ∠ O D C$

The correct option is C $A C = B D$
In $△$ s $A O C$ and $B O D$
$O A = O B$ (Given)
$O C = O D$ (Given)
$∠ A O B - ∠ C O B = ∠ C O D - ∠ C O B,$
i.e., $∠ A O C = ∠ B O D$
$∴$ $△ A O C ≅ △ B O D$ (SAS)
$\Rightarrow$ $A C = B D$ (cpct)