MATH 3703

Geometry for P-8 Teachers

Review Sheet for Final

Test Date: 9:05 class—Wednesday, Dec 6th 8-10 and 11:15 class—Monday, Dec 4th 11-1.

This test consists of 25 questions and covers everything that we have done this semester.  The best way to study for this test is to study the old tests.  Be sure to bring a calculator with you for the test!  You will be provided with the formula sheet from Test 2.

Keep the following things in mind.

• Be able to classify triangles in two ways (by the angles and by the sides)
• Be able to classify a curve
• You should know your properties of quadrilaterals so as to complete True and False statements
• Be able to perform conversions – both English and metric – for plain units, square units, and cubic units
• Given a figure, be able to find missing angle measures using angle relationships like
• 3 angles of a triangle sum to 180 degrees
• Corresponding angles are congruent
• Supplementary angles
• Complementary angles
• Vertical angles are congruent
• Alternate interior angles are congruent
• Be able to compute the measure of an interior angle and/or an exterior angle of a polygon or a regular polygon
• Given two triangles, you should be able to state whether or not they are congruent and give the theorem that explains why.  Also, if two triangles are congruent, you should be able to state the congruency symbolically.
• Constructions – be able to perform any of the constructions that appear in the suggested problems.
• Be able to find missing side lengths in similar triangles using proportions.
• Be able to determine whether or not two figures are always going to be similar.
• Be able to use the Pythagorean Theorem to find a missing side in a right triangle.
• Be able to find area and perimeter of figures.
• Be able to find the surface area and volume of solids.
• Expect an application problem which involves area, surface area, and/or volume.
• Be able to perform translations, rotations, and size transformations.
• Be able to determine the types of a symmetry that a figure possesses.
• Given a size transformation, find a missing length.
• Given two figures, be able to identify the transformation which was performed on one figure to get the second figure.