Mastering Geometry MT1
*Inductive
Reasoning/Thinking
Deductive
*Postulates/
axioms
Rules
*Theorems
*Properties
Lines
Constructions
Angles Triangles
The use of patterns to
reach a logical
conclusion
The use of
statements or known
facts to reach one
logical conclusion
Materials Needed: Compass, straight edge, pencil, 4-5 college ruled pieces of paper, 5-10 pieces of white paper.
Level 4 opportunities: Projects TBD by Mr. Lopez soon.
Basic Terms
Point C, Point M, Point Q.
Point M & Point N are colinearPoint T & Point N are non-coliena
What does it look like?/Name
Basic Terms
Plane BKA or Plane GAC
Points B & K are coplanar
Points D & K are non-coplanar
CB & GA are Parallel
CB & DE are Skew
CD & DE are perpendicular
Basic Terms Continue…
Postulates
Theorems
There will be many theorems to remember, please leave table set up so we can take future notes.
Constructions
Lines Angles Triangles
1. Copy a line segment2. Perpendicular bisector
of a line segment3. Divide a segment into n
equal parts4. Parallel line through a
point(angle copy method)
1. Bisecting an angle2. Copy an angle3. Construct a 30 degree
angle4. Construct a 45 degree
angle5. Construct a 90 degree
angle
1. Copy a triangle2. Isosceles Triangle, given
a base and side3. Equilateral Triangle4. Triangle Median
Go to the following website: http://www.mathopenref.com/constructions.htmlOn a white piece of paper create the constructions for each category below.
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