Circles Part 1

A secant intersects the circle twice; a tangent touches the circle once

A tangent intersects the circle twice; a secant touches the circle once

A secant goes through the center of the circle; a tangent does not

A secant is outside the circle; a tangent is inside the circle

$$\overline{ST}$$

Segment ST

Point S

Segment XW $$\overline{XW}$$

$$\overline{VU}$$

Line VU

$$\overline{QV}$$

Segment QV

Line PR

$$\cap RVT$$

Arc RVT

$$\cap QP$$

Arc QP

Point V

$$\cap QXV$$

Arc QXV

Central Angle = Intercepted Arc

$$\frac{Central\ Angle}{Intercepted\ Arc}$$

$$\frac{Intercepted\ Arc}{2}$$

2(Intercepted Arc)

60

310

155

50

$$\frac{Intercepted\ Arc}{2}$$

Equal to the Intercepted Arc

2(Intercepted Arc)

$$\frac{2(Intercepted\ Arc)}{2}$$

Supplementary

Congruent

Complimentary

$$\frac{Inscribed\ Angle}{2}$$

Equal to the Inscribed Angle

2(Inscribed Angle)

$$\frac{2(Inscribed\ Angle)}{2}$$

102

51

204

40

Obtuse

Right

Acute