Geometry Final Exam Study Guide
You are responsible to know all of the postulates, theorems, corollaries, etc. we have gone over this year!!!
Chapter 5, sections 4-7
Writing indirect proofs
Triangle inequalities
Writing inequalities about triangle measurements
Ordering the sides of a triangle if you know the angles
Ordering the angles of a triangle if you know the sides
Determining if three measures can make a triangle
Chapter 6
Classifying quadrilaterals
Properties of parallelograms
Tests for parallelograms
Properties of rectangles
Properties of a rhombus (the plural is rhombi)
Properties of squares
Properties of trapezoids
Properties of isosceles trapezoids
Finding missing measurements of quadrilaterals
Finding the measure of the median of a trapezoid
Chapter 7
Writing proportions
Solving proportions
Cross products
Using ratios and proportions to solve problems
Determining if two polygons are similar
Finding the scale factor of similar polygons
Properties of similar triangles
Proportionality and parallel lines
Chapter 8, sections 1-5
Finding the geometric mean of two numbers
Using the geometric mean to find the missing measures in right triangles
The Pythagorean theorem
Determining if three lengths can form a right triangle
45°, 45°, 90° triangles
30°, 60°, 90° triangles
Trigonometric functions (sine, cosine, tangent)
SOHCAHTOA
Finding missing measures of a triangle using trig functions
Using trig functions to solve problems
Chapter 9, sections 1-4
Parts of circles
Standard equation of a circle
Angle measurements in circles
Arc measurements
Finding missing measurements in circles
Inscribed angles
Chapter 10, sections 1-2, 4-5, 7, 9
Classifying polygons by their sides
Finding the measure of the angles in a polygon
Convex and concave polygons
Parts of a polygon
Parts of a polyhedron
Area of polygons
Area and circumference of circles
Chapter 11
Classifying solids
Finding the surface area and volume of the following solid
Prisms
Cylinders
Pyramids
Cones
Spheres
Irregular solids
Finding the of the following solids:
Prisms
Cylinders
Pyramids
Cones
Spheres
Irregular solids
Indirect reasoning
Indirect proof
Polygon
Sides of a polygon
Vertices of a polygon
Quadrilateral
Diagonal
Parallelogram
Rectangle
Square
Rhombus
Trapezoid
Isosceles trapezoid
Base of two dimensional figures
Legs
Base angles
Median of a trapezoid
Proportion
Cross products
Similar polygons
Scale factor
Altitude
Median of a triangle
Geometric mean
Circle
Center of a circle
Chord
Diameter
Radius
Tangent
Secant
Central angle
Arc
Minor arc
Major arc
Semicircle
Arc of a chord
Inscribed angle
Intercepted arc
Inscribed polygon
Concave
Convex
n-gon
Regular polygon
Polyhedron
Face
Edge
Vertex of a polyhedron
Area
Circumference
Perimeter
Surface area
Polyhedron
Pyramid
Prism
Cylinder
Lateral face
Lateral edge
Lateral area
Base of a solid
Regular pyramid
Slant height
Volume
Sphere