circle angles day 2 practice and intersecting

circle angles day 2 practice and intersecting chords notes.notebook
April 24, 2017
4/22/17
Objective: how do we find the measure of angles in a circle formed by intersecting chords? 120
x
110
Do Now: Solve for x
1
circle angles day 2 practice and intersecting chords notes.notebook
April 24, 2017
U
Fun circle facts:
S
1) IF an angle is inscribed in a semicircle, it is a
right angle
N
O
2) If a triangle is inscribed in a semicircle it is a
right triangle
3) A line drawn outside a circle that touches a
circle in exactly one point is a tangent line
K
D
A
4) An angle formed by a tangent and a
chord = 1/2 of its intercepted arc
R
2
circle angles day 2 practice and intersecting chords notes.notebook
1)
April 24, 2017
230
y
2)
x
70
x y
4)
x
108
74
3)
y
x
A
115
O
B
3
circle angles day 2 practice and intersecting chords notes.notebook
April 24, 2017
4
circle angles day 2 practice and intersecting chords notes.notebook
April 24, 2017
5)
C
B
E
A
The m AB = 70 degrees
m CD = 80 degrees
Find the m < AEB D
and m < BEC
5
circle angles day 2 practice and intersecting chords notes.notebook
6)
April 24, 2017
The ratios of arcs AB:BC:CD:AD are
3:2:4:6 respectively. Find the measure of each
arc and find the measure of <AED
C
B
E
A
D
6
circle angles day 2 practice and intersecting chords notes.notebook
7)
April 24, 2017
The measure of <BEC = 55 degrees and
the measure of arc BC = 40 degrees.
Find the measure of arc AD
C
B
E
A
D
7
circle angles day 2 practice and intersecting chords notes.notebook
8)
April 24, 2017
m AB = 64 degrees and m CD = 100
degrees.
Find m <BEC
C
B
E
A
D
8
circle angles day 2 practice and intersecting chords notes.notebook
9)
April 24, 2017
The m BC = 64 degrees, m AD = 128 degrees, and
m CD = 96 degrees.
C
B
Find m <AED and
m <CAD
E
A
D
9
circle angles day 2 practice and intersecting chords notes.notebook
April 24, 2017
10