Question

FAC is congruent to GEC. Which statement can NOT be proven?

• A. $AF\cong GE$
• B. $\angle FCA\cong \angle GCE$
• C. $\angle CAF\cong \angle CDG$
• D. $AC\cong EC$

Answer 1

The correct option is C $\angle CAF\cong \angle CDG$

Give, $△FAC$ and $△GEC$ are congruent.

The corresponding angles and sides are congruent.

i.e., $FC\cong CG$ , $AC\cong CE$, $AF\cong EG$

$\angle CAF\cong \angle GEC$, $\angle FCA\cong \angle ECG$, $\angle AFC\cong \angle CGE$

From the options only $\angle CAF\cong \angle CDG$ is not true.