Lesson 3 Inscribed Angles
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Extra Problems
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Click on "Show Inscribed Angle"
a) The vertex of the inscribed angle is the circle.
b) The two sides of the inscribed angle are of the circle.
c) In other words we can say that an inscribed angle is formed when twoof circle intersect the circle.
Click on "Show
"Where is
in relation to inscribed angle ?Click on "Show m
" so we can look at the relationship between the measure of an inscribed angle and the the arc it intercepts.Measure of an INSCRIBED ANGLE measure of its ARC
Measure of an ARC Measure of its INSCRIBED ANGLE
Click on Show Central
and m to examine the relationship between the measures of a central angle and in scribed angle that share the same arc.When a central angle and an inscribed angle share the same arc, the measure of inscribed angle is equal to the measure of the central angle.
When a central angle and an inscribed angle share the same arc, the measure of the central angle is equal to the measure of inscribed angle.
m
m
=m
m
=Find the measure of an inscribed angle that intercepts an arc
whose measure is
.A central angle and an inscribed angle intercept the same arc.
Find the measure of the inscribed angle if the central angle measures
.A central angle and an inscribed angle intercept the same arc.
Find the measure of the central angle if the inscribed angle measures
.
m
Quadrilateral is inscribed in circle V.
Find:
m
m
Formative Angle Inscribed in Semicircle
m
x =
y =
m
m
m
m
m
m
m
m of yellow arc =
m
m
In Circle A, find:
m
m
In Circle A with diameter
, find:m
m
m
m
In Circle A, find:
m
m
m
m
m
m
In Circle A, diameter
is drawn. Find:m
m
To calculate the value of x in circle C shown below, Emma set up the following equation:
Is Emma on her way to a correct answer?
Explain.
In Circle A, diameter
is drawn. Find:m
m
m
Which one has the largest minor arc? (Blue arc)
Your classmate claims that
.Are they correct?
Explain your reasoning.
In the diagram shown,
is the diameter of circle A.In the circle shown, chords
and intersect at P, which is the center of the circle, and the measure of is 30°.In Circle A,
is drawn. If find:m
m
m
In circle A,
is an inscribed angle. What is m?
