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1. MODERN GEOMETRY
Sections 7.1,
7.2
Thompson

2. ANNOUNCEMENTS
Exam IV (Chapter 7)
Thursday 4/16
Teaching Presentations
Tuesday 4/21 & Thursday 4/23
Final Exam (Cumulative)
Thursday 5/7

3. TEACHING PROJECT
 Hippocrates’ Quadrature of the Lune (440 B.C.)
 Euclid’s Proof of the Pythagorean Theorem (300
B.C.)
 Archimedes Determination of Circular Area (225
B.C.)
 Heron’s Formula for Triangular Area (75 A.D)
 A Gem from Isaac Newton (1665)

4. INSCRIBED ANGLES

5. INSCRIBED ANGLES
CONJECTURE
1.Construct Circle P
2.Construct inscribed angle ∠RST
3.Construct central angle ∠RPT
4.Find m∠RST
5.Find m∠RPT
6.Conjecture?

6. INSCRIBED ANGLES

7. THE “STAR TREK” LEMMA

8. PROOF! Conjecture: m∠RST = 2 m∠RPT

9. INSCRIBED SEMICIRCLE
COROLLARY

10. PROBLEM SOLVING

11. PROBLEM SOLVING

12. CIRCLE SEGMENT

13. CIRCLE SEGMENT
Find the
area of the
segment

14. CIRCLE SEGMENT
1. Construct Circle P with radius
2in.
2. Construct central angle of 80°
3. Find the area of the segment
produced.

15. CLASSWORK / HOMEWORK
Page 369
1 – 4, 5 – 30 odd, 39, 43, 48, 57
Page 378
1 – 11 odd, 19 – 22