Objective: Central angles, inscribed angles
Unit 7 Day 3 Notes (2/6)
The measure of an arc is _____________ the measure of its central angle.
The length of an arc is ____________________________________________________________.
Postulate 10 – 1 Arc Addition Postulate
The measure of the arc formed by two adjacent arcs is the ______ of the
measures of the two arcs.
_______ + ________
A central angle is an angle that has its center point on the _____________ of
the circle.
Target 1: Identify major and minor arcs in a circle
Identify the following:
a) one major arc
b) one semicircle
c) an acute central angle
Target 1 continued
d) one minor arc
e) a pair of adjacent arcs
f) an obtuse central angle
Target 2: Find the measures of arcs. XM and WY are diameters.
Ex. 1 Find
Ex. 2 Find
in circle C.
in circle C.
An inscribed angle is an angle that has its ___________ on the circle and its sides contained in ___________
of the circle.
ABC is a/an _____________ angle.
ABC is a/an ______________ angle.
Example 1 – what is the relationship
between mABC and arc AC?
Example 2 – what is the relationship
between mABC and arc AC?
Corollaries:
#1: An angle inscribed on a semicircle is _________________________.
#2: Opposite sides of an inscribed quadrilateral are
__________________________________.
Why?
7.3 Target Practice
Name_________________________
Find the value of x!!!
1.
2.
3.
4.
5.
6.
7. arc RST is 122
8.
9.