Download Lesson 10-3: Arcs and Chords

Lesson 10-3: Arcs
and Chords
Geometry
Theorem #1:
If two chords are congruent, then their arcs are also
congruent.
Arc AB is congruent to Arc CD.
Theorem #2:
In inscribed quadrilaterals, the opposite angles
are supplementary.
m<A + m<C = 180 and m<B + m< D = 180
C
Theorem #3:
If a radius or diameter is perpendicular to a chord, it
bisects the chord and its arc.
Segment LZ = Segment ZM
and
Arc LX = Arc XM
Theorem #4:
If two chords are equidistant from the center of the circle, the
chords are congruent.
Practice Problems

1. Find x and if arc RS measures 850 find
arc TV.
Practice Problems
2.
Practice Problems
3.
Practice Problems
4.
Practice Problems
5.
In the circle below, diameter QS is 14 inches
long and chord RT is 10 inches long. Find VU.
Practice Problems
6.
Practice Problems
7.