2. Date: 11.3 Notes: Congruent Chords and Arcs Lesson Objective: Recognize and use relationships between arcs, chords and diameters. CCSS: G.C.2, G.MG.3 You will need: compass, ruler, colored pens Real-World App: How can we tell the slices of pizza are congruent? This is Jeopardy!: This is the exact circumference of a circle with an inscribed rectangle with length 4 and width 2.

3. Lesson 1: Congruent Chords and Arcs Drop down about 2” and plot P on a blue line about 2” from the margin. Use a compass to draw a 3” circle to model a pizza. Divide your pizza into 8 equal pieces using a compass. P P

4. Lesson 1: Congruent Chords and Arcs Highlight 2 pieces of pizza that are not adjacent to each other. Label one AB and one CD. What tells you that the pieces are equal in size? P P A B D C

5. Lesson 1: Congruent Chords and Arcs Why is / APB / CPD? P P A B D C

6. Lesson 1: Congruent Chords and Arcs Draw chords AB and CD. P P A B D C

7. Lesson 1: Congruent Chords and Arcs If central / s are, then the cor­re­spon­ding arcs and chords are : / APB / CPD, AB CB, AB CB P P A B D C

8. Lesson 1: Congruent Chords and Arcs A.

9. Lesson 1: Congruent Chords and Arcs B.

10. Lesson 2: More Congruent Chords

11. Lesson 2: More Congruent Chords

12. Lesson 3: | Chords and Diameters Construct circle C with 2” dia­meter. Draw chord XY. Construct AB | XY. Label the intersection of AB and XY point Z. What do you notice about AB? X Y C

13. Lesson 3: | Chords and Diameters A X Y B C Z

14. Lesson 3: | Chords and Diameters A.

15. Lesson 3: | Chords and Diameters B.Find NP.

16. Lesson 3: | Chords and Diameters C.

17. 11.3: Do I Get It? Yes or No 1. 2. 3.

18. 11.3: Do I Get It? Continued In the stained glass window, diameter GH is 30” long, chord KM is 22” long and arc KM is 85°. Find the following: 4.KL 5.JL 6.mHM