MTH 202 · Final Exam (Minimal) Review
CHAPTER 8
· Be able to count the vertices, edges, and faces of 3D shapes.
· Be able to determine angle measures given a diagram (straight line 180, vertical angles, parallel postulate, triangle sum theorem).
· Be able to classify the relationships between triangles and quadrilaterals using Venn diagrams (this involves knowing the definitions).
· Know the definition of circle/sphere and be able to use them in problems.
· Be able to do basic constructions with straightedge and compass (e.g., perpendicular bisector, angle bisector, equilateral triangle, rhombus).
· Recall the Platonic Solids.
o #3 on pg 412-413, #4 on pg 423, #14 on pg 437, #4 on pg 442-443.
CHAPTER 9
· Know everything about translations, reflections, and rotations (and don’t forget glide reflections, either).
· Be comfortable with all different types of symmetry.
· Understand the triangle congruence conditions, and be aware of situations that do not guarantee triangle congruence.
· Be able to prove a result using congruent triangles.
· Be able to solve similarity problems (scale factor, relative sizes, set-up-a-proportion).
o #3 on pg 467, #9a on pg 468, #4 on pg 482, #1 on pg 491, #4 on pg 509, also practice proofs from the Extended 9.3 PDF available on the class website.
CHAPTER 10
· Be comfortable with units of measurement (standard and metric) and conversions.
· Understand the relationship between the size of the unit and the size of the measurement.
· Be aware of dimensions and how they relate to various measurements (e.g., length, area, and volume).
· Be able to calculate all sorts of perimeters and areas
· Be able to explain the rectangular formulas for area and volume.
o #1 on pg 527, #6 on pg 539, #8 on pg 555, #14 on pg 555, #17 on pg 555.
CHAPTER 11
· Understand the moving and additivity principles of area & volume, as well as Cavalieri’s principle about shearing.
· Be able to solve complex area problems in a variety of ways.
· Be able to prove the Pythagorean Theorem.
· Understand the formulas for the area of a triangle, the area of a parallelogram, and the area of trapezoid (you should be able to justify the formulas in some way).
· Be able to find the area and circumference of circle (specifically, know what π is).
· Be able to approximate areas of irregular shapes, and find the volume of irregular solids.
· Understand the relationship between perimeter and area of a figure.
· Be able to find the surface area and volume of prisms and pyramids.
· Understand the relationship between scaling (i.e., similarity) and area/volume.
o #16 on pg 574-575, #1 on pg 583, #8 on pg 594-595, #3 on pg 600, #3 on pg 606, #5 on pg 607, #5 on pg 616-617, #13 on pg 617-618, #3 on pg 623, #10 on pg 627, #6 on pg 636, #17 on pg 639, #4 on pg 644.