Exam topics

General recommendations:

Exam 1 review

2D shapes

  • polygons: quadrilaterals, square, rectangle, triangle, parallelogram, rhombus, trapezoid (at least one pair of parallel lines), trapezoid (exactly one pair of parallel lines), regular
  • triangles: acute, obtuse, right, isosceles, equilateral
  • circles

3D shapes

  • prisms, cylinders, pyramids, cones, right, oblique/skewed, sphere
  • Platonic solids: tetrahedron, cube, octahedron, dodecahedron, icosahedron (all faces are regular!)
2d shapes
ruler

Measurement

  • units imply measurement object
  • angles: angles in triangle sum to 180 degrees, angles in a line sum to 180 degrees, sum of interior angles of an n-gon is (n-2)*180
  • length: perimeter/circumference, Pythagorean theorem
  • area: unit square, rectangle, parallelogram, triangle, trapezoid, circle, regular polygons
  • surface area: nets, prisms, pyramids, cylinders, cones, spheres
  • volume: unit cube, prism, cylinders, pyramid, cone, sphere
  • how are formulas related to each other
Exam 2 review

Conversions

  • imperial units, see Table 11.1
  • metric units, see Table 11.3
  • conversion of lengths, area, and volumes

Symmetry

  • Reflective symmetry and lines of symmetry
  • Rotation symmetry and angles of symmetry
  • Order of rotational symmetry (remember only 360 degrees has 0 rotational symmetries)

Transformations

  • Translation
  • Reflection about a line
  • Rotation about a point
  • Dilation (see below)
  • Rigid motions and congruent shapes
  • Transformations on coordinate axes
  • Transformation mappings

Similar shapes

  • Definition
  • Dilation
  • Application problems (how tall is tree?)
  • Identify missing information
  • Scale factor
  • Effects of scale factor on length, area, volume

Chasing angles

  • vertical angles
  • parallel postulate
  • base angles of isosceles triangle are congruent
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