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10.7: Chapter 10 Review

Difficulty Level: At Grade Created by: CK-12

Keywords, Theorems and Formulas

  • Perimeter
  • Area of a Rectangle: A=bh
  • Perimeter of a Rectangle P=2b+2h
  • Perimeter of a Square: P=4s
  • Area of a Square: A=s2
  • Congruent Areas Postulate
  • Area Addition Postulate
  • Area of a Parallelogram: A=bh.
  • Area of a Triangle: A=12bh or A=bh2
  • Area of a Trapezoid: A=12h(b1+b2)
  • Area of a Rhombus: A=12d1d2
  • Area of a Kite: A=12d1d2
  • Area of Similar Polygons Theorem
  • π
  • Circumference: C=πd or C=2πr
  • Arc Length
  • Arc Length Formula: length of ABˆ=mABˆ360πd or mABˆ3602πr
  • Area of a Circle: A=πr2
  • Sector of a Circle
  • Area of a Sector: A=mABˆ360πr2
  • Segment of a Circle
  • Perimeter of a Regular Polygon: P=ns
  • Apothem
  • Area of a Regular Polygon: A=12asn or A=12aP

Review Questions

Find the area and perimeter of the following figures. Round your answers to the nearest hundredth.

  1. square
  2. rectangle
  3. rhombus
  4. regular pentagon
  5. parallelogram
  6. regular dodecagon

Find the area of the following figures. Leave your answers in simplest radical form.

  1. triangle
  2. kite
  3. isosceles trapezoid
  4. Find the area and circumference of a circle with radius 17.
  5. Find the area and circumference of a circle with diameter 30.
  6. Two similar rectangles have a scale factor 43. If the area of the larger rectangle is 96 units2, find the area of the smaller rectangle.

Find the area of the following figures. Round your answers to the nearest hundredth.

  1. find the shaded area (figure is a rhombus)

Texas Instruments Resources

In the CK-12 Texas Instruments Geometry FlexBook, there are graphing calculator activities designed to supplement the objectives for some of the lessons in this chapter. See http://www.ck12.org/flexr/chapter/9695.

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CK.MAT.ENG.SE.2.Geometry.10.7