Circles have infinitely many arcs, not just 3.
Trefoil
Adjacent Arcs
Yes, two arcs with the same measure that are arcs of the same circle or congruent circles are congruent to each other. This means they have the same length and subtend the same angle at the center of their respective circles. Therefore, if the circles are congruent, the arcs will be identical in measure, regardless of the size of the circles.
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.
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.
Yes, two arcs with the same measure that are arcs of the same circle or congruent circles are congruent to each other. This means they have the same length and subtend the same angle at the center of their respective circles. Therefore, if the circles are congruent, the arcs will be identical in measure, regardless of the size of the circles.
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.
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.
Diameter