Download Math 231 Geometry Test 1 Review

Math 231
Geometry Test 1 Review
2.1
axiomatic systems: undefined terms, definitions, postulates, theorems
know the definitions and postulates given in this section, postulates 2.1 – 2.5 in particular
know the notation for lines, segments, rays, angles
2.2
types of triangles: equilateral, isosceles, scalene, acute, right, obtuse
polygons and number of sides: triangle, quadrilateral, pentagon, hexagon, octagon
types of quadrilaterals: square, rectangle, parallelogram, trapezoid, kite
circles: diameter, radius
2.3
Thm: the sum of measures in a triangle = 180º
vertex angles in a polygon / diagonals
Thm: the sum of measures of the vertex angles in any polygon is (n − 2)180
Thm: the measure of each vertex angle in a regular polygon is
(n − 2)180
n
given a diagram find the measures of the indicated angles
3.1
perimeter of a polygon, circumference of a circle
areas of triangles and rectangles
3.2
areas of parallelograms, trapezoids, regular polygons, circles
3.3
Pythagorean Theorem: use to solve a missing side in a right triangle
30-60-90 triangles, 45-45-90 triangles: use to solve for missing sides
applications of right triangles
4.1
conditional statements, biconditional statements, deductive reasoning
converse, inverse, and contrapositive forms of conditional statements
4.2
definition of congruent triangles
congruence postulates
4.3
proofs involving congruent triangles
theorems: isoscles triangles, equilateral triangles, perpendicular bisectors
Note: You do not have to memorize the definitions, postulates, and theorems word for word, although
you can if it helps. You will not be required to write them out word for word on the test. However, you
should understand what each one says (in your own words or the text’s) well enough to apply it in a proof
or computation and well enough to answer true/false questions.