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Laabri

Lesson 3 Inscribed Angles

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48 Nsɛmmisa
Untitled Section 1

Textbooky Notes on Inscribed Angles

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More Textbooky Notes -Sub Theorems

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Extra Problems
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Asemmisa {{asɛmmisaAhyɛnsode}}
1a.

Click on "Show Inscribed Angle"

a) The vertex of the inscribed angle is of the circle.

c) In other words we can say that an inscribed angle is formed when twothe circle.

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Asemmisa {{asɛmmisaAhyɛnsode}}
1b.

Click on "Show

"

Where is

in relation to inscribed angle
?

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Asemmisa {{asɛmmisaAhyɛnsode}}
1c.

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 INSCRIBED ANGLE

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Asemmisa {{asɛmmisaAhyɛnsode}}
1d.
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2.

m

m

=

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3.

m

m

=

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4.

Find the measure of an inscribed angle that intercepts an arc

whose measure is

.

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

A central angle and an inscribed angle intercept the same arc.

Find the measure of the inscribed angle if the central angle measures

.

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

A central angle and an inscribed angle intercept the same arc.

Find the measure of the central angle if the inscribed angle measures

.

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

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8.

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9.

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10.

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11.

m

m
m

More Textbooky Notes -Sub Theorems

Formative Exploratory Applet

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

Quadrilateral is inscribed in circle V.

Find:

m

m

More Textbooky Notes -Sub Theorems

Formative Angle Inscribed in Semicircle

Asemmisa {{asɛmmisaAhyɛnsode}}
13.

m

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14.

x =

y =

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15.

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16.

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17.

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18.

m

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19.

m

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20.

m

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21.

m

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22.

m

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23.

m

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24.

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25.

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26.

m

m of yellow arc =

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27.

m

m

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28.

In Circle A, find:

m

m

Asemmisa {{asɛmmisaAhyɛnsode}}
29.

In Circle A with diameter

, find:

m

m

m

m

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30.

In Circle A, find:

m

m

m

m

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31.

m

m

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32.

In Circle A, diameter

is drawn. Find:

m

m

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Asemmisa {{asɛmmisaAhyɛnsode}}
33a.

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?

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Asemmisa {{asɛmmisaAhyɛnsode}}
33b.

Explain.

Asemmisa {{asɛmmisaAhyɛnsode}}
34.

In Circle A, diameter

is drawn. Find:

m

m

m

Asemmisa {{asɛmmisaAhyɛnsode}}
35.

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36.

Which one has the largest minor arc? (Blue arc)

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37a.

Your classmate claims that

.

Are they correct?

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37b.

Explain your reasoning.

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38.

In the diagram shown,

is the diameter of circle A.

Point D, which is unique from points B and C, is plotted somewhere on circle A. Which statement must always be true?

Asemmisa {{asɛmmisaAhyɛnsode}}
39.

In the circle shown, chords

and
intersect at P, which is the center of the circle, and the measure of
is 30°.

What is the degree m
?

Asemmisa {{asɛmmisaAhyɛnsode}}
40.

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41.

In Circle A,

is drawn. If
find:

m

m

m

Asemmisa {{asɛmmisaAhyɛnsode}}
42.

In circle A,

is an inscribed angle. What is m
?

Asemmisa {{asɛmmisaAhyɛnsode}}
43.

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 inscribed angle.