iran-konkur 2020 Q131

iran-konkur · Other · konkur-riazi_1399_specialized_old-curriculum Circles Chord Length and Chord Properties
131- In the figure below, segment $AC$ equals chord $AB$. Which of the following is necessarily true?
[Figure: Circle with points A, B, C, D where AC is a chord equal to chord AB]
  • [(1)] $BC = BA$
  • [(2)] $BD = AC$
  • [(3)] $BC = BD$
  • [(4)] $DA = DC$
\textbf{131-} In the figure below, segment $AC$ equals chord $AB$. Which of the following is necessarily true?

\textit{[Figure: Circle with points A, B, C, D where AC is a chord equal to chord AB]}

\begin{itemize}
    \item[(1)] $BC = BA$
    \item[(2)] $BD = AC$
    \item[(3)] $BC = BD$
    \item[(4)] $DA = DC$
\end{itemize}