Download 15.1 and 15.2 Notes

February 14, 2017
15.1 and 15.2
Geometry
Agenda: 2/14
1. Warm up/Schedule/Changes
2. Notes 15.1 & 15.2
3. Homework Time
4. Cool Down
15.1 and 15.2
February 14, 2017
CHANGES:
1) No more extensions on:
- stamp sheets, tests, projects
*** Excused Absences only!
2) No Work can be turned in during finals
and no retakes can be done during finals!
3) Retakes only if: all homework is in, all
notes are in, and all test mistakes are on a
separate sheet of paper.
February 14, 2017
15.1 and 15.2
Warm up 2/14
1. Find the measure of angle
<ACB.
75o B
A
2. Find the measure of arc
ADB.
10 cm
C
D
February 14, 2017
15.1 and 15.2
Lesson 15.1: Central Angles and Inscribed angles
EQ: How can you determine the measures of central angles
and inscribed angles of a circle?
(10 spaces)
Chord: A segment whose endpoints lie on
a circle
Central Angle: An angle less than 180o
whose vertex lies at the center of the circle
Inscribed Angle: An angle's arc lies
on a circle and whose sides contain chords
of the circle.
A
Chord:________
D
Central Angle:______
Inscribed Angle:_______
B
C
February 14, 2017
15.1 and 15.2
Minor Arc An arc that is less than 180 o
Major Arc: An arc that is more than 180 o
Semicircle: An arc that measure 180 o
A
D
B
C
E
Minor Arc:________
Major Arc:________
Semicircle:________
February 14, 2017
15.1 and 15.2
Glue in table
15.1 and 15.2
February 14, 2017
Summary:
____ I can find the measures of inscribed angles.
February 14, 2017
15.1 and 15.2
Lesson 15.2: Angles in Inscribed Quadrilaterals
EQ: What can you conclude about the angles of a
quadrilateral inscribed in a circle?
(10 spaces)
Inscribed Quadrilateral Theorem: If a
quadrilateral is inscribed in a circle, then
it's opposite angles are supplementary.
B
95o
120o
A
C
x
y
D
Chord:________
Central Angle:______
Inscribed Angle:_______
February 14, 2017
15.1 and 15.2
Example 1:
Q
(15y + 17)o
R
P
(5y + 3)o
S (y2 + 53)o
1. Find the value of y
2. Find the value of each angle
15.1 and 15.2
February 14, 2017
Summary
___ I can find the angles of an inscribed
quadrilateral
February 14, 2017
15.1 and 15.2
Homework...
1. 15.1/15.2
February 14, 2017
15.1 and 15.2
Cool Down 2/12 & 2/16
Find the value of x and y
x
y
110o
30o
15.1 and 15.2
February 14, 2017