A student used a compass and a straightedge to construct
title="\overline{CE}" alt="\overline{CE}" align="absmiddle" class="latex-formula"> in ABC. Which statement must always be true for this construction?(1) ∠CEA, ∠CEB(2) ∠ACE, ∠BCE(3) 
(4) 
1 answer:
Answer:
2) ∠ACE ≅ ∠BCE
Step-by-step explanation:
Considering the complete question attached in Figure below, geometry shows that ∠ACB is bisected into two angles ∠ACE and ∠BCE and we know that bisection means to divide an angle into two equal angles. According to this the resultant angles ∠ACE and ∠BCE must be equal and congruent.
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