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A student used a compass and a straightedge to construct [tex]\overline{CE}[/tex] in ABC. Which statement must always be true for this construction?(1) ∠CEA, ∠CEB(2) ∠ACE, ∠BCE(3) [tex]\overline{AE}, \overline{BE}[/tex](4) [tex]\overline{EC}, \overline{AC}[/tex]

Respuesta :

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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