Chapter 7 Review
April 12, 2012
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.
Warm-up:
Warm-up:
Questions on Homework?
Chapter 7 Test Review
Chapter Sections
7-1: Area of parallelograms and triangles7-2: Pythagorean Theorem and Converse7-3: Special Right Triangles7-4: Areas of Trapezoids, Rhombuses, and
Kites7-5: Area of Regular Polygons7-6: Circumference and Arc Length7-7: Area of circles, sectors, and segments7-8: Geometric Probability
Chapter Sections
7-1: Area of parallelograms and triangles7-2: Pythagorean Theorem and Converse7-3: Special Right Triangles7-4: Areas of Trapezoids, Rhombuses, and
Kites7-5: Area of Regular Polygons7-6: Circumference and Arc Length7-7: Area of circles, sectors, and segments7-8: Geometric Probability
Formulas Parallelogram: A = b*h Triangle: A = ½ b*h Trapezoid: A = ½ h(b1 + b2) Rhombus/Kite: A = ½ d1d2 Regular Polygons: A = ½ a*p Circumference: C = 2πr or πd Circle: A = πr2
Measure of Arc: mAB = angle measure Arc Length = mAB * 2πr (circumference of circle) 360 Sector: A = mAB * πr2 (area of circle) 360 Segment of circle: A = (area of sector) – (area of
triangle)
7-1: Area of parallelograms and triangles
Find h
7-2: Pythagorean Theorem and Converse
In a right triangle, a2 + b2 = c2
If a2 + b2 = c2 => right triangle If a2 + b2 > c2 => acute triangle If a2 + b2 < c2 => obtuse triangle
7-3: Special Right Triangles
30-60-90: hyp = 2*short leg long leg = √3*short leg
45-45-90: hyp = side*√2
7-3: Special Right Triangles (con’t)
Find variables
7-3: Special Right Triangles (cont’d)
Find variables
7-4: Trapezoids, Rhombuses and Kites: Remember: Diagonals of parallelograms bisect each other
7-5: Regular Polygons
Find numbered angles and exact area of this hexagon
Miscellaneous: Know how to find
Area – of multiple figures. Perimeter – using coordinates. Area (including probability) and/or perimeter of
figures on a grid:
Test Review/Homework
p. 409, # 1-31 p. 412, # 1 – 13, 15 – 22, 24, 25
Extra Problems: 7-4 to 7-7