2.4 Arcs and Angles . pptx presentation

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1. Homework 2.2 Work on Written Math (A, 3 – 5) on page 231.

2. Congruent a rcs are arcs with the same measure If two minor arcs of a circle or of congruent circles are congruent, then their corresponding chords are congruent . If two chords of a circle or of congruent circles are congruent, then their corresponding minor arcs are congruent . If two central angles of a circle or of congruent circles are congruent, then their corresponding minor arcs are congruent. If two minor arcs of a circle or of congruent circles are congruent, then their corresponding central angles are congruent . If two central angles of a circle or of congruent circles are congruent, then their corresponding chords are congruent . If two chords of a circle or of congruent circles are congruent, then their corresponding central angles are congruent.

3. Inscribed Angle - An angle whose vertex lies on the circle and whose sides contain chords of a circle

4. Inscribed Angle - An angle whose vertex lies on the circle and whose sides contain chords of a circle

5. Inscribed Angle            

6. Draw a circle. Draw an inscribed angle whose sides contain the endpoints of the diameter of the circle. Carefully measure the angle. What is the angle formed?

7. An angle inscribed in a semicircle is a right triangle.

8. Corollary 108.2 If two inscribed angles intercept the same arc or congruent arcs, then the angles are congruent.

9. Corollary 108.2 If two inscribed angles intercept the same arc or congruent arcs, then the angles are congruent.  

10. Corollary 108.3 Opposite angles of an inscribed quadrilateral are supplementary.

11. Corollary 108.4 If two arcs of a circle are inscribed between parallel secants, then the arcs are congruent.

12. Seatwork 2.4 Work on Written Math (B, 6 – 12 ) on page 231.

13. Homework 2.3 Work on Written Math (C, 13 – 16) on page 232.