Question

I need help with all four

Identify the cords, inscribed angles, and central angles in the figure. The center of the circles in #1,2, and 4 is C.

Answer 1

see below

Explanation:

Any line between two points on the circle is a chord.

Any angle with sides that are chords and with a vertex on the circle is an inscribed angle.

Any angle with sides that are radii and a vertex at the center of the circle is a central angle. Each central angle listed here should be considered a listing of two angles: the angle measured counterclockwise from the first radius and the angle measured clockwise from the first radius.

1.

chords: DE, EF

inscribed angles: DEF

central angles: DCF . . . . . note that C is always the vertex of a central angle

2.

chords: RS, RT, ST, SU

inscribed angles: SRT, RSU, RST, RTS, TSU

central angles: RCS, RCT, RCU, SCT, SCU, TCU

3.

chords: DF, DG, EF, EG

inscribed angles: FDG, FEG, DFE, DGE

central angles: none

4.

chords: AE

inscribed angles: none

central angles: ACB, ACD, ACE, BCD, BCE, DCE