Central Angles, Chords, and Minor Arcs
Use the slider to change the size of the central angle. Move point O or point A to resize or relocate the circle in the coordinate plane.
Point M is the midpoint of chord AB. What happens when radius OC intersects AB at point M? Prove that triangle BOM is congruent to triangle AOM. Click to hide radius OC. Click to show congruent chord demo. Prove that triangles DOE and AOB are congruent. Complete each sentence: If two chords on the same circle are congruent, then... If two arcs on the same circle are congruent, then...