1. Chapter 7 Review April 12, 2012

2. Warm-up: (15 mins) Practice Workbook:  Practice 7-7, # 1 - 8  Practice 7-8, # 1 – 3 a) Find length of arc (leave answer in terms of π) b) Find area of sector to nearest tenth. Find exact area of shaded segment.

3. Warm-up:

5. Questions on Homework?

6. Chapter 7 Test Review

7. Chapter Sections 7-1: Area of parallelograms and triangles 7-2: Pythagorean Theorem and Converse 7-3: Special Right Triangles 7-4: Areas of Trapezoids, Rhombuses, and Kites 7-5: Area of Regular Polygons 7-6: Circumference and Arc Length 7-7: Area of circles, sectors, and segments 7-8: Geometric Probability

8. Chapter Sections 7-1: Area of parallelograms and triangles 7-2: Pythagorean Theorem and Converse 7-3: Special Right Triangles 7-4: Areas of Trapezoids, Rhombuses, and Kites 7-5: Area of Regular Polygons 7-6: Circumference and Arc Length 7-7: Area of circles, sectors, and segments 7-8: Geometric Probability

9. Formulas  Parallelogram: A = b*h  Triangle: A = ½ b*h  Trapezoid: A = ½ h(b 1 + b 2 )  Rhombus/Kite: A = ½ d 1 d 2  Regular Polygons: A = ½ a*p  Circumference: C = 2 π r or π d  Circle: A = π r 2  Measure of Arc: mAB = angle measure  Arc Length = mAB * 2 π r (circumference of circle) 360  Sector: A = mAB * π r 2 (area of circle) 360  Segment of circle: A = (area of sector) – (area of triangle)

10. 7-1: Area of parallelograms and triangles Find h

11. 7-2: Pythagorean Theorem and Converse In a right triangle, a 2 + b 2 = c 2 If a 2 + b 2 = c 2 => right triangle If a 2 + b 2 > c 2 => acute triangle If a 2 + b 2 obtuse triangle

12. 7-3: Special Right Triangles 30-60-90: hyp = 2*short leg long leg = √3*short leg 45-45-90: hyp = side*√2

13. 7-3: Special Right Triangles (con’t) Find variables

14. 7-3: Special Right Triangles (cont’d) Find variables 7-4: Trapezoids, Rhombuses and Kites: Remember: Diagonals of parallelograms bisect each other

15. 7-5: Regular Polygons Find numbered angles and exact area of this hexagon

16. Miscellaneous: Know how to find  Area – of multiple figures.  Perimeter – using coordinates.  Area (including probability) and/or perimeter of figures on a grid:

17. Test Review/Homework  p. 409, # 1-31  p. 412, # 1 – 13, 15 – 22, 24, 25

18. Extra Problems: 7-4 to 7-7