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CONTINUATION THEOREMS

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CONTINUATION THEOREMS

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Lesson 1 and 2

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Janna
Janna
Philippines

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CONTINUATION THEOREMS
 

CONTINUATION THEOREMSOnline version

Lesson 1 and 2

by Janna
1

Examples of inscribed polygon.

2

LESSON 1: CIRCLES AND RELATED SEGMENTS AND ANGLES

Theorem 6.1.9

3

4

Theorem 6.2.1

Opposite angles of a inscribed quadrilateral are supplementary

5

LESSON 2: ANGLE MEASURES IN THE CIRCLE

WHAT IS TANGENT?

WHAT IS SECANT?

6

EXAMPLE

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EXAMPLE 2

8

FIGURE

9

Intersecting Secant Theorem

When two secants intersect outside a circle, the measure of the angle formed is equal to half the difference of the measures of the intercepted arcs.

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Interior Angle

An interior angle is formed when two chords (line segments connecting two points on the circle) intersect inside the circle.

11

Intercepted Arcs

The sides of the interior angle cut out two arcs (portions of the circle's circumference) on the circle.

12

Theorem

The measure of an interior angle is equal to half the sum of the measures of the two intercepted arcs.

13

Formula

If the two intercepted arcs have measures of 'a' and 'b', then the measure of the interior angle (let's call it 'x') is calculated as: x = (a + b) / 2.

14

Example

FIGURE
 
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