Q32 - Geometry

Question

Given the diagram, state whether you can reach the conclusion shown.

$\angle AOC\cong \angle BOC$

Step-by-Step Solution

Answer

We can conclude that $\mathbf{\angle }\mathit{A}\mathit{O}\mathit{C}\mathbf{\cong }\mathbf{\angle }\mathit{B}\mathit{O}\mathit{C}$

Step 1. Observe the given diagram.

Step 2. Highlight the ∠AOC and ∠BOC in the given diagram.

Step 3. Explain whether you can reach the given conclusion.

Here two lines $\overline{AB}$ and $\overline{CD}$ are perpendicular to each other, that is, they intersect each other at $90°$ which implies that $\angle AOC\cong \angle BOC$.