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