Circles have infinitely many arcs, not just 3.
Trefoil
Adjacent Arcs
No
Yes, two arcs of a circle are congruent if and only if their associated radii are congruent. This is because congruent arcs subtend equal angles at the center of the circle, which means the radii connecting the center to the endpoints of the arcs must also be equal in length. Thus, the congruence of the arcs directly correlates to the congruence of their respective radii.
Diameter
Trefoil
A circle divides a plane into three parts.
Yes, there can be congruent arcs on a circle. Arcs which subtend the same angle at the center are considered as congruent.
Congruent Arcs
Adjacent Arcs
Half of the circle is an arc
The angle of rotation for a point on a circle to draw an equilateral triangle is 120 degrees, as the triangle's three equal angles divide the circle into three equal 120° arcs.
No
An arc is a portion of a circle. The default method for drawing arcs is to specify three points-the start point, a second point, and the endpoint. You can draw an arc using several different methods.
Because they are parts of the circumference of a circle
Diameter
In the same circle, or in congruent circles, two minor arcs are congruent if and only if their corresponding chords are congruent.