MATH 102, Spring 2007
Topics for Final Exam on Chapters 10 and 8.

Recall that the earlier chapters—5, 7, and 9—will be included on the final exam. You should check those topics also.

TOPICS

RELATED EXERCISES

Measurement in Geometry

  • angles (acute, right, obtuse, reflex)
  • length (in meters, cm, inches, feet, etc.)
  • perimeter and circumference
  • area in square units (m2, cm2, inches2, feet2, etc.)
  • volume in cubic units (m3, cm3, inches3, feet3, etc.)

  •  
  •  
  • 32, 45, 46, 51b, A10.2
  • 45, A10.1. A10.2

Area Calculations: Know the formulas.

  • squares
  • rectangles
  • parallelograms
  • triangles
  • other polygons
  • circles
  • surface area of a solid (such as prisms or cylinders)
     = sum of areas of the faces

  • 5, 10
  • 3, 12, 41
  •   
  • 7, 31, 32, 47
  • 54
  • 46, 50, 51a
  • 15

Volume Calculations

  • prisms and cylinder (V=area of base times height)
  • pyramids, cones (V=1/3 * area of base * height)
  • spheres

  • 16, 42, 52, A10.11
  • A10.11
  • 17

Other Important Calculations

  • Pythagorean Theorem for right triangles
  • distance between two points in a coordinate system
  • the midpoint between two points in a coordinate system

  • 13

Tesselations

  • What a tessellation is
  • Any triangle can be used to tessellate.
  • Certain regular polygons can be used to tessellate: equilateral triangles, squares, hexagons. The others will not work.

  • 37

Transformations:
what they do and that they preserve congruence

  • translations: A vector gives the direction and distance.
  • rotations: needs a center and an angle
  • reflections: needs a mirror line
  • lines of symmetry


  • 22
  • 21, 28
  •  
  • 25, 26. 27

Functions

  • Input producing output
  • ways to describe functions: algebraic equation, graph, table, mapping diagram
  • domain and range
  • composition of functions

  • 40, 41, 44 , A8.1
  • 13, 21, 25, 26, 27, 28, 31, A8.1, A8.4
  •  

Lines

  • slope of a line
  • intercepts
  • graphing a linear equation
  • slope-intercept form of the equation for a line
  • equations for vertical or horizontal lines

  • 1, 6
  • 44
  • 13, 32, A8.7
  • 21, 26, 40, 44