Presentation is loading. Please wait.

Presentation is loading. Please wait.

6.5 Other Angle Relationships in Circles. Theorem 6.13 If a tangent and a chord intersect at a point on the circle, then the measure of each angle formed.

Similar presentations


Presentation on theme: "6.5 Other Angle Relationships in Circles. Theorem 6.13 If a tangent and a chord intersect at a point on the circle, then the measure of each angle formed."— Presentation transcript:

1 6.5 Other Angle Relationships in Circles

2 Theorem 6.13 If a tangent and a chord intersect at a point on the circle, then the measure of each angle formed is one half the measure of its intercepted arc. http://demonstrations.wolfram.com/TangentChordAngle/

3 Worksheet # 1 - 12

4 Theorem 6.14 Angles Inside the Circle Theorem: If two chords intersect inside a circle, then the measure of each angle is one half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

5 Worksheet # 13 - 24

6 Theorem 6.15 Angles Outside the Circle Theorem: If a tangent and a secant, two tangents or two secants intersect outside a circle, then the measure of the angle formed is one half the difference of the measures of the intercepted arcs.

7 Worksheet # 25 - 36

8 Angles: On, Inside, Outside On: Angle is half the intercepted arc. Inside: Angle is half the sum of the intercepted arcs. Outside: Angle is half the difference of the intercepted arcs.

9 Find m<1

10 Find mEFG

11 Find the values of x and y.

12 Find the value of x.

13

14

15 Worksheet # 37 – 67 odds Homework # 38 – 69 evens


Download ppt "6.5 Other Angle Relationships in Circles. Theorem 6.13 If a tangent and a chord intersect at a point on the circle, then the measure of each angle formed."

Similar presentations


Ads by Google