Tangent and Chord Properties

Segments and Lines in relation to circles

Review of Terms and Ideas

Tangent

Line or segment that touches a circle at one point ( point of tangency)This line or segment is perpendicular to the radius at this point

Tangent Segments

Two segments tangent to a circle from the same point outside the circle are congruent.

Tangent Circles

Two circles that are tangent to each other, touch at only 1 pointInternally Tangent – one circle inside the other

Externally Tangent

Central Angle and Minor Arc

Central angle is the same as the arc it formsMinor arc is between the rays of the central angle

Chords

Segment insides a circle, connecting two points on the circleDiameter is the longest chord in a circle

Central Angle

Has vertex at the center of the circle, both sides are radii of the circle

Inscribed Angles

Vertex of angle is on the circle and sides are chords of the circle

Chord Central Angle

If two chords in a circle are congruent, then they determine two central angles that are congruent

Chord Arcs

If two chords in a circle are congruent, then their intercepted arcs are congruent

Chord Distance to Center

Two Congruent chords in a circle are equidistant to the center of the circle

Perpendicular to a Chord

The radius perpendicular to the chord will bisect the chord

Perpendicular Bisector of a Chord

The perpendicular bisector of a chord passes through the center of the circle

HW

Pg 313 1-5Pg 320 1-9 Honors 11 and 12