# Exam topics

General recommendations:

• Look for patterns (especially in quiz questions)
• What hasn't been assessed yet? (compare review sheet to quizzes)
• Think about what the class found difficult. This might be assessed again to measure improvement.
• Remember that definitions are important in mathematics
 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!) 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 sum of exterior angles of a convex polygon is 360 degrees 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
 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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