MATH 102, Spring 2007
Topics for Test 2 on Chapter 9

TOPICS

RELATED EXERCISES

Basic Geometry Concepts

  • points, lines, planes

  • intersecting lines, parallel lines, perpendicular lines

  • lines segments, rays

  • angles:
    adjacent angles, vertical angles
    complementary angles, supplementary angles
    two parallel lines and a transversal

  • circles: center, radius, diameter, chord, circumference

 

1, 28

4

30

6, 24, 25, 34, 36, 40,
A9.5, A9.6

 

Polygons

  • definition of polygon

  • convex or concave

  • sum of the interior angles in a polygon

  • regular polygons
  • triangles
    special kinds: scalene, isosceles, equilateral
    acute, right, obtuse
    angle sum = 180 degrees

  • quadrilaterals
    special kinds: parallelogram, rectangle, rhombus, square, trapezoid, kite
    angle sum = 360 degrees in a convex quadrilateral

  • Possible properties of quadrilaterals: parallel sides, bisecting diagonals, congruent angles, perpendicular diagonals, etc.

  • Symmetry: lines of symmetry, rotational symmetry

 

 

 

22, 26, 62

 

11, 41, A9.10

 

 

10b, 19, 36, 43,
A9.8, A9.9

 

A9.9

Congruence and Similarity

  • congruence of segments, angles, polygons

  • ways to test congruence for two triangles:
    SSS, SAS, ASA, AAS

  • Similar triangles
    testing by AA
    corresponding sides are proportional

13, 16, 17, 37, 38, 42, 47, 54, 59, 61

 

39, 43, 56

15, 40, 44, 50, 51, 58a

Constructions by straightedge and compass (by lines and circles)

  • how to find the midpoint of a segment, how to bisect an angle, how to find a perpendicular line from a point to a given line

  • explaining why these constructions work

9, 59

A9.4

 

Three Dimensional Shapes

  • prisms and pyramids
    right or oblique

  • what is a regular polyhedra

  • cylinders, cones, and spheres
    right or oblique