Inscribed angles

Transcript

1. MATHEMATICS 10 Prepared by: Lance S. Amada
2. LET’S HAVE A RECALL
3. WHAT IS A RADIUS? a line segment connecting the center point and any point on the circle
4. WHAT IS A CHORD? a segment which has points on the circle as its endpoints
5. WHAT IS A DIAMETER? It is a chord that passes through the center
6. WHAT IS A CENTRAL ANGLE? Its vertex is the center of the circle and its sides are the radii
7. WHAT IS AN INTERCEPTED ARC? is an arc enclosed by angle on the circle
8. IT’S TIME FOR AN ACTIVITY!
9. INSTRUCTION: GIVEN THAT ____ IS _____, FIND THE MEASURE OF _____. ALSO, USING YOUR PROTRACTOR, MEASURE ______.
10. INSTRUCTION: USING YOUR PROTRACTOR, MEASURE ______ AND _____. GIVEN THE MEASURE OF _____, WHAT IS THE MEASURE OF ______?
11. WHAT DO WE KNOW?
12. WE ALL KNOW THAT WHATEVER THE MEASURE OF THE CENTRAL ANGLE, IT IS EQUIVALENT TO THE MEASURE OF ITS INTERCEPTED ARC. WHAT I HAVE NOTICED WITH THE MEASURE OF THE OTHER ANGLE IS THAT IT IS ½ THE MEASURE OF THE INTERCEPTED ARC.
13. WHAT DID WE LEARN?
14. INSCRIBED ANGLES an angle whose vertex is on the circle and the sides are the chords of the circle; The measure of the inscribed angle is half the measure of its intercepted arc
15. THINGS TO DO AT HOME!
16. GIVEN: -DE AND AB ARE DIAMETERS OF THE CIRCLE -DE AND AB ARE PERPENDICULAR -ARC AC = 18 DEGREES     FIND: Angle CDE Arc CE Angle AFB Angle DGB