Download GEOMETRY FINAL EXAM MATERIAL

GEOMETRY FINAL EXAM MATERIAL
QUARTER ONE (20%)
QUARTER THREE (30%)
 Undefined Terms
o Identify the three undefined terms “the building
blocks of Geometry”
o Explain why the three undefined terms are
undefined
 Classifying Shapes
o Be able to classify shapes:
 Number of sides
 Congruent sides, parallel sides, angle
measures, etc.
 Reasoning
o Inductive VS. Deductive
o Conditional Statements:
 Converse, Inverse, Contrapositive
o Law of Detachment, Law of Syllogism
o Valid/Invalid, True/False, Sound/Unsound
 Angles and Angle Pairs
o Right, Acute and Obtuse Angles
o Parallel Lines Cut by a Transversal (Angle Pairs)
 Area
o Be able to find the area of parallelograms
(including rhombi, squares and rectangles),
triangles, trapezoids, kites, regular polygons and
circles
o Composite shapes
 Volume
o Be able to find the volume of prisms, cylinders,
pyramids, cones and spheres
o Composite Solids
 Representing 3D Solids
o Orthographic drawing, Isometric drawing
 Triangle Similarity
o AA Similarity Conjecture, SSS Similarity Conjecture,
SAS Similarity Conjecture
o What is the difference between congruence and
similarity?
QUARTER TWO (20%)
QUARTER FOUR (30%)
 Triangle Properties
o Triangle Sum Conjecture, Isosceles Triangle
Conjecture (and converse), Triangle Inequality
Conjecture, Side-Angle Inequality Conjecture,
Triangle Exterior Angle Conjecture
 Quadrilateral Properties
o Kite Angles Conjecture, Kite Diagonals Conjecture,
Kite Diagonal Bisector Conjecture, Kite Angle
Bisector Conjecture
o Trapezoid Consecutive Angles Conjecture,
Isosceles Trapezoid Conjecture, Isosceles
Trapezoid Diagonals Conjecture, Trapezoid
Midsegment Conjecture
o Parallelogram Opposite Angles Conjecture,
Parallelogram Consecutive Angles Conjecture,
Parallelogram Opposite Sides Conjecture,
Parallelogram Diagonals Conjecture
o Rhombus Diagonals Conjecture, Rhombus Angles
Conjecture, Rectangle Diagonals Conjecture,
Square Diagonals Conjecture
 Polygon Properties
o Polygon Angle Sum Conjecture, Polygon External
Angle Sum Conjecture
 Triangle Congruence
o SSS Congruence Conjecture, SAS Congruence
Conjecture, ASA Congruence Conjecture, SAA
Congruence Conjecture
 Ratios and Proportions
o Be able to set up and solve proportions
 Geometric Mean
o Be able to find the geometric mean of two
numbers
o Geometric Mean Triangle Altitude Conjecture,
Geometric Mean Triangle Leg Conjecture
 Special Right Triangles
o 30-60-90 , 45-45-90
 Right Triangle Trigonometry
o SohCahToa
o Be able to use trigonometric functions (sine,
cosine, tangent) to find missing side lengths
o Be able to use inverse trigonometric functions to
find missing angle measures
I will supply you with a TOOLBOX HANDOUT that contains all
of the conjectures needed on the exam (that were originally
included in the Toolbox, that is). You may NOT use your own
Toolbox on this exam. However, you may use any foldables
made in class.
FOLDABLES WILL BE CHECKED ON EXAM DAY, SO MAKE SURE
ONLY ALLOWED INFORMATION IS INCLUDED!!!