11-2 Arcs and Chords 11-2 Arcs and Chords
11-2 Arcs and Chords 11-2 Arcs and Chords
11-2 Arcs and Chords 11-2 Arcs and Chords
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
<strong>11</strong>-2 <strong>Arcs</strong> <strong>and</strong> <strong>Chords</strong><br />
<strong>11</strong>-2 <strong>Arcs</strong> <strong>and</strong> <strong>Chords</strong><br />
Warm Up<br />
Lesson Presentation<br />
Lesson Quiz<br />
Holt McDougal Geometry<br />
Geometry
<strong>11</strong>-2 <strong>Arcs</strong> <strong>and</strong> <strong>Chords</strong><br />
Objectives<br />
Apply properties of arcs.<br />
Apply properties of chords.<br />
Holt McDougal Geometry
<strong>11</strong>-2 <strong>Arcs</strong> <strong>and</strong> <strong>Chords</strong><br />
Vocabulary<br />
central angle<br />
arc<br />
minor arc<br />
major arc<br />
semicircle<br />
adjacent arcs<br />
congruent arcs<br />
Holt McDougal Geometry
<strong>11</strong>-2 <strong>Arcs</strong> <strong>and</strong> <strong>Chords</strong><br />
A central angle is an angle whose<br />
vertex is the center of a circle. An arc is<br />
an unbroken part of a circle consisting of<br />
two points called the endpoints <strong>and</strong> all<br />
the points on the circle between them.<br />
Holt McDougal Geometry
<strong>11</strong>-2 <strong>Arcs</strong> <strong>and</strong> <strong>Chords</strong><br />
Holt McDougal Geometry
<strong>11</strong>-2 <strong>Arcs</strong> <strong>and</strong> <strong>Chords</strong><br />
Writing Math<br />
Minor arcs may be named by two points. Major arcs<br />
<strong>and</strong> semicircles must be named by three points.<br />
Holt McDougal Geometry
<strong>11</strong>-2 <strong>Arcs</strong> <strong>and</strong> <strong>Chords</strong><br />
Adjacent arcs are arcs of the same<br />
circle that intersect at exactly one point.<br />
RS <strong>and</strong> ST are adjacent arcs.<br />
Holt McDougal Geometry
<strong>11</strong>-2 <strong>Arcs</strong> <strong>and</strong> <strong>Chords</strong><br />
Example 2: Using the Arc Addition Postulate<br />
Find mBD.<br />
Holt McDougal Geometry
<strong>11</strong>-2 <strong>Arcs</strong> <strong>and</strong> <strong>Chords</strong><br />
Find each measure.<br />
mJKL<br />
Check It Out! Example 2a<br />
Holt McDougal Geometry
<strong>11</strong>-2 <strong>Arcs</strong> <strong>and</strong> <strong>Chords</strong><br />
Find each measure.<br />
mLJN<br />
Check It Out! Example 2b<br />
Holt McDougal Geometry
<strong>11</strong>-2 <strong>Arcs</strong> <strong>and</strong> <strong>Chords</strong><br />
Within a circle or congruent circles,<br />
congruent arcs are two arcs that have the<br />
same measure. In the figure ST UV.<br />
Holt McDougal Geometry
<strong>11</strong>-2 <strong>Arcs</strong> <strong>and</strong> <strong>Chords</strong><br />
Holt McDougal Geometry
<strong>11</strong>-2 <strong>Arcs</strong> <strong>and</strong> <strong>Chords</strong><br />
Example 3A: Applying Congruent Angles, <strong>Arcs</strong>, <strong>and</strong><br />
<strong>Chords</strong><br />
TV<br />
WS. Find mWS.<br />
Holt McDougal Geometry
<strong>11</strong>-2 <strong>Arcs</strong> <strong>and</strong> <strong>Chords</strong><br />
PT bisects<br />
Check It Out! Example 3a<br />
RPS. Find RT.<br />
Holt McDougal Geometry
<strong>11</strong>-2 <strong>Arcs</strong> <strong>and</strong> <strong>Chords</strong><br />
Lesson Quiz: Part II<br />
Find each measure.<br />
1. NGH<br />
2. HL<br />
Holt McDougal Geometry
Change language