9.4. Chords in Circles http://www.ck12.org
In the second picture, we have 4 BAE∼= 4 CADbecause the central angles are congruent andBA∼=AC∼=AD∼=AE
because they are all radii (SAS). By CPCTC,BE∼=CD.
Investigation: Perpendicular Bisector of a Chord
Tools Needed: paper, pencil, compass, ruler
- Draw a circle. Label the centerA.
- Draw a chord in
⊙
A. Label itBC.- Find the midpoint ofBCby using a ruler. Label itD.
- ConnectAandDto form a diameter. How doesADrelate to the chord,BC?