Lesson 10-3: Arcs and Chords

Geometry CP

Mrs. Mongold

If two chords are congruent, then their arcs are also congruent

A

B

D

C

In inscribed quadrilaterals, the opposite angles are supplementary

A

B

C

D

If a radius or diameter is perpendicular to a chord, it bisects the chord and its arc

If two chords are equidistant from the center of the circle, the chords are congruent

B

C

E

If FE=BC, then arc FE = arc BC

Quad. BCEF is an inscribed polygon – opposite angles are supplementary angles B and E & angles F and C

Diameter AD is perpendicular to chord EC – so chord EC and arc EC are bisected

E

A

B

C F D

X

*You can use the pythagorean

theorem to find the radius when a chord is

perpendicular to a segment from the

center

EX = FX so chords AB and CD

are congruent because they are

equidistant from the center

Practice Problems

Find x and if arc RS measures 850 find arc TV.

Practice Problems

Practice Problems

Practice Problems

Practice Problems

In the circle below, diameter QS is 14 inches long and chord RT is 10 inches long. Find VU.

Practice Problems

Practice Problems