Download Slide 1 - msmatthewsschs

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

page
1
page
2
page
3
page
4
page
5
page
6
page
7
page
8
page
9
page
10
page
11
page
12
page
13
page
14
page
15
page
16
page
17
page
18
page
19
page
20
page
21
page
22
page
23
page
24
page
25
page
26
page
27
page
28
page
29
page
30
page
31
page
32
page
33
page
34
page
35
page
36
page
37
page
38
page
39
page
40
page
41
page
42
page
43
page
44
page
45
page
46
Document related concepts
no text concepts found
Transcript 
10.2 & 10.4 – Use Properties of Tangents
And Use Inscribed Angles and Polygons
Term
Definition
Picture
A
C
Central
Angle
An angle
whose
vertex is the
center of
the circle
P
APC
Term
Definition
Picture
A
C
Minor Arc
Arc of a
circle that
is less than
180°
P
Two letters:
AC
Term
Definition
Picture
A
C
Major Arc
Arc of a
circle that
is more
than 180°
P
B
3 letters:
ABC
Term
Definition
Picture
A
Semicircle
Arc of a
circle that
is 180°
P
B
C
3 letters:
ABC
Term
Congruent
circles
Definition
Two circles
with the
same radius
Picture
Term
Congruent
arcs
Definition
Arcs that
have the
same
central
angle
Picture
A
B
D
C
AB  CD
The measure of a minor arc is the
central
measure of its _____________
angle.
A
x°
x°
P
C
MN
73°
minor
73°
73°
NQ
26°
73°
minor
26°
MP
154°
73°
minor
26°
MRP
206°
major
73°
107°
26°
PN
81°
minor
73°
107°
26°
MNQ
180°
semicircle
73°
107°
26°
MRQ
180°
Semicircle
73°
107°
26°
MRN
287°
major
73°
107°
26°
10.4 – Use Inscribed Angles and
Polygons
Inscribed angle: An angle whose vertex is on
a circle and whose sides are
chords of the circle
Intercepted Arc: An arc that is inside an
inscribed angle
Inscribed Polygon : A polygon that has all of its
vertices on a circle
Circumscribed Circle: The circle that contains
the vertices of a polygon
half
The measures of an inscribed angle is ________
the measure of its ______________
arc.
intercepted
2x°
x°
D = AB
2
intercept
If two inscribed angles of a circle _____________
the same arc, then the angles are _____________.
congruent
D  C
A ________
right triangle is inscribed in a circle iff
the _______________
is a diameter of the circle.
hypotenuse
B is a right angle
because it inscribes a
semicircle.
quadrilateral
A ____________________
can be inscribed in a
circle iff its opposite angles are ______________.
supplementary
mD + mF = 180°
mE + mG = 180°
Find the indicated measure.
158
=
= 79°
2
Find the indicated measure.
180
=
= 90°
2
90°
180°
Find the indicated measure.
= 40  2 = 80°
Find the indicated measure.
88°
92°
92
=
= 46°
2
Find the indicated measure.
80
=
= 40°
2
100°
80°
Find the indicated measure.
56
=
= 28°
2
56°
Find the measure of A and C.
80
mA =
= 40°
2
64°
80°
64
mC =
= 32°
2
Find the measure of A and C.
146°
146
mA =
= 73°
2
62
mC =
= 31°
2
62°
68
mPNO = 2 = 34°
62
mQNP = 2 = 31°
62°
= 62°
62°
= 130°
62°
= 112°
112°
62°
= 248°
112°
62°
Decide whether a circle can be circumscribed
about the figure.
No,
70 + 130  180
Decide whether a circle can be circumscribed
about the figure.
Yes,
91 + 89 = 180
91°
Decide whether a circle can be circumscribed
about the figure.
No,
115 + 63  180
Find the value of the variables.
5x + 110 = 180
5x = 70
x = 14°
2y + 104 = 180
2y = 76
y = 38°
Find the value of the variables.
x + 108 = 180
y + y = 180
x = 72°
2y = 180
y = 90°
Find the value of the variables.
44°
4x = 84+44
1
2
7y = 152+44
1
2
8x = 128
14y = 196
x = 16°
y = 14°
Find the value of the variables.
171°
12x = 96+48
1
2
24x = 144
x = 6°
3y = 48+171
1
2
6y = 219
y = 36.5°
Related documents