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.