Math 3703—Geometry for P-8 Teachers

Review Sheet for Test 1

This test will cover 11.1, 11.2, 11.3, 11.4, & 13.1.  It will have 20 questions.

How will you prepare for the test?  Keep the following things in mind.

1. This material contains a lot of definitions.  You will need to know these.  I would suggest going through your notes and making flash cards of all the terms.  Some questions may ask you to provide the definition.  Other questions may require that you know the definition in order to answer the question.

For example, a question could be, “What are skew lines?  Your explanation should include an example picture.”  Or, a picture might be provided and the question would read, “Name a pair of skew lines.”

1. Measuring—you will be expected to measure angles and segments (inches and centimeters).
2. Formulas—you will need to know the formulas that have been used in class.

o   Sum of the exterior angles of a convex polygon = 360 degrees

o   Sum of the interior angles of a convex polygon = (n-2) * 180 degrees

1. We have spent quite a bit of time learning how to draw three-dimensional objects.  You will be asked to draw three-dimensional objects on the test.
2. You should be able to find the perimeter of a figure and the circumference of a circle.
3. Test problems are many times similar to those done in class or those assigned for homework.  In addition, be doing the homework problems you are better prepared to handle new and unfamiliar problems that appear on the test.

Here is a list of the definitions we have covered in this chapter.

Sec. 11.1

Point, space, line, collinear, segment, ray, plane, intersecting lines, concurrent lines, parallel lines, skew lines, angle, right angle, acute angle, obtuse angle, straight angle, perpendicular lines, dihedral angle

Sec. 11.2

Curve, closed curve, simple curve, polygonal curve, polygon, convex, concave, triangle, quadrilateral, pentagon, hexagon, heptagon, octagon, nonagon, decagon, dodecagon, regular polygon, scalene triangle, isosceles triangle, equilateral triangle, acute triangle, right triangle, obtuse triangle, square, parallelogram, rectangle, trapezoid, rhombus, kite

Sec. 11.3

Vertical angles, supplementary angles, complementary angles, interior angles, exterior angles, alternate interior angles, alternate exterior angles, corresponding angles

Sec. 11.4

Simple closed surface, polyhedron, face vertex, edge, prism, base, lateral fact, right, oblique, pyramid, regular polyhedron (icosahedron, dodecahedron, tetrahedron, octahedron, cube), cylinder, cone, sphere

Sec. 13.1

Measuring with a ruler (inches and centimeter), perimeter, circumference