Mr. Ochs Mathematics Class
Geometry Semester 1
Chapter 1 Basic Geometry
Chapter 2 answers to homework
Section 2.1 Conditional, Converse, Biconditional
Section 2.2 Properties from Algebra
Section 2.3 Midpoint and Angle Bisector Theorems
Section 2.4 Complementary, Supplementary, and Vertical angles
Section 2.5 Perpendicular lines
Section 2.6 Complementary and Supplementary Angles Theorems
Chapter 3 answes to homework
Section 3.1 Definitions Parallel and Skew Lines
Section 3.2 Postulates and Theorems for Parallel Lines
Section 3.5 Definitions and Theorems for Polygons
Section 3.3 Postulates and Theorems used to Prove Lines are Parallel
Section 3.4 Definitions and Theorems for Triangles
Geometry Semester 2
Chapter 8 Right Triangles
Similarity in a Right Triangle
Theorems Involving Pythagoras
Trigonometry and Applications
Answers to Ch8 worksheets
Chapter 9 Circles
Chapter 10 Construction and Loci
Construction #1 Copy a Segment
Constuction #2 Copy an Angle
Construction #3 Bisect an Angle
Construction #4 Bisect a Segment / Perpendicular Bisector
Construction #5 Perpendicular through a given point on a line
Construction #6 Perpendicular line through a point not on the line
Construction #7 Parallel line through a point not on the line using corresponding angles
Construction #8 Tangent line to a circle through a point ON the circle
Construction #9 Tangent line to a circle from a point in the exterior of the circle
Construction #10 Circumscribe a circle about a triangle
Construction #11 Inscribe a circle in a triangle
Construction #12 Dividing a segment into congruent parts
Construction #13 Construct a proportional segment to 3 given segments
Construction #14 construct the length of a geometric mean
Bisect a Segment
Perpendicular Bisector of a Segment
Find the midpoint of a segment
Divide a segment into 2 congruent segments
To see a video of Mr. Ochs doing examples
Mr Ochs Video
To see and example done in flash click on a link below
Math Open Ref
Math is Fun
Given a segment, construct the perpendicular bisector of the segment.
Construct the perpendicular bisector of segment BC.
1) Choose a radius for the compass that is larger than ½ the segment.
2) With this radius place your compass pointer on one endpoint of the segment and strike a semicircle(1/2 circle) that passes through the segment.
Keeping the same radius
repeat step 2 with the pointer on the other endpoint of the segment. The two semicircles will intersect.
Note: Eventually the semicircles can be reduced to two small arcs on either side of the segment.
4) With a straight edge draw a line through the points of intersection created by the arcs in steps 2 and 3.
Note 2 : This is how we find the midpoint of a segment.