8-4 Trigonometry Continued
What if you wanted to know the measure of the acute angles of a right triangle
and you only had the side lengths?
What about the measure of angles D and E?
Example 1 Solve t
8-7 Vectors
Some quantities are described by a real number known as a scalar, which describes the
magnitude or SIZE of the quantity.
Other quantities are described by a _. This describes both the
_ an
IP 17
Name _
Geometry
Date _
Honors
Square ACBD is inscribed in a circle with center E.
Find the following measurements. Give the exact answers.
BD = 6, CG = 3 + 3 3
CD = _
GJ = _
FB = _
ED = _
GB = _
10-2 Arc Length
GSP Investigation
In the EDIT menu, go to Preferences and change Precision to tenths for Angle,
Distance and Other.
Constructing Arcs
Construct a circle and two points on the circle.
T
WS 10-2.2
Name _
Honors Geometry
Date _
A circle with radius r is inscribed in a square and circumscribed about a regular hexagon.
r
1. What are the perimeters of the square and hexagon in terms of r?
10-3 Arcs and Chords
Recall: Biconditional Statement
_
_
_
_
Intercepted Arc
_
_
_
For circle A, name the arc intercepted by the following:
E
DE
BAC
DF
EDF
D
F
A
B
C
If a segment, ray or line divide
10-3 Arcs and Chords
Recall: Biconditional Statement
_
_
_
_
Intercepted Arc
_
_
_
For circle A, name the arc intercepted by the following:
E
DE
BAC
DF
EDF
D
F
A
B
C
If a segment, ray or line divide
10-4 Inscribed Angles
Inscribed Angle an angle whose vertex is on
_
and contains _
GSP Investigation
In the EDIT menu, go to Preferences and change Precision to tenths for Angle,
Distance and Other.
I
WS 10-5.2
Name _
Honors Geometry
Date _
Examples
Mixed
1. Find the coordinates of the center of the circle.
B (3,11)
A (-14,4)
C (11,-1)
suu
r
suu
r
AT is tangent to circle P. Find the equation of AT
Name _
Honors Geometry
Date _
Proofs
Circle
Complete each of the following proofs. (5 pts each)
Due the day of the Chapter 10 Test.
o #1 6 (Section 10-3)
o #7 13 (Section 10-4)
o #14 16 (Section 10-
10-8 Equations of Circles
Recall: A circle is the set of all points equidistant from a given point (the center).
We can write the equation of a circle, just like we can write the equation of a line
(
10-7 Special Segments in a Circle
Chord Segments
Secant Segment
External Secant Segment
Tangent Segment
GSP Investigation
In the EDIT menu, go to Preferences and change Precision to tenths for Ang
Ch.11 Area (Part I)
Height triangle =
_
Parallelogram/Trapezoid =
_
_
_
Formulas
Triangle
Parallelogram
Trapezoid
Rhombus
Kite
Derivation of Rhombus and Kite Formulas
G
C
B
F
J
E
D
A
I
Herons Formula
7-5 Parts of Similar Triangles
GSP Investigation
In the EDIT menu, go to Preferences and change Precision to hundredths for Angle,
Distance and Other.
Investigation #1 Save this sketch as LastName_Par
WS 8-4.3
Name _
Date _
Honors Geometry
Challenging Trig Problems
1. If AB = 10, find the value of h.
(Hint: use a system of two equations with variables x and h)
D
h
40
A
10
54
B
x
2. An airplane is