Sumali sa IDNStudy.com at makakuha ng mabilis at maaasahang mga sagot. Tuklasin ang mga maaasahang impormasyon sa anumang paksa sa pamamagitan ng aming network ng bihasang mga propesyonal.

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


Sagot :

Yes.  Vertical Angle Theorem in a circle:  If two line intersects at the center of the circle, they form two pairs of congruent non-adjacent central angles.

The measure of central angle is equal to the arc it intercepts.

Therefore, the arcs intercepted by the two pairs non-adjacent central angles formed by two lines intersecting at the center are congruent.