Do you agree that if two lines intersect at the center of a circle, then the lines intercept two pairs of congruent arcs? Explaine your answer

Sagot :

yes i agree ×[tex] \left \{ {{y=2} \atop {x=2}} \right. [/tex]
If two lines intersect at the center of the circle, two pairs of vertical angles (non-adjacent) are formed.  Vertical angles with common vertex at the center of the circle are congruent.  Therefore, the arcs intercepted by each pair of vertical angles are also congruent.

Proof:  Vertical angles theorem with the center as the point of intersection.