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Side Angle Side (SAS)Method for
Triangle Construction or Duplication
Given the length of two sides and the included angle, a duplicate can be
created.
Four Variations: Given two lines that meet a D forming an angle BAC
between them, the longer side may issue from D on one line or other. That gives
two triangles. Given those two triangles, the same construction options apply to
a vertically opposite angle at D, also equal in measure to angle BAC. That gives
two more triangles.
SAS Isometry Assumption (and Criteria)
If there is a correspondence between the vertices such that two sides and
the included angle are isometric then the triangles are isometric.
Moreover, both could be built or rebuilt by the same construction SAS
method, and each may be moved by a sequence of translations, rotations
and/or reflections, so that sides and vertices coincide with the other.
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Parents: Help
your Child/Teen Learn covers Speaking
Skills, Reading
& Writing,
Preparing for Science &
Having Patience, etc
Math How-TOs
1. Arithmetic
2. Algebra
3. More
Algebra 4. Geometry
5 More
Geometry 6. Calculus
>> densely written
>> use as skill checklists
Online Volumes (orders)
1, Elements of Reason.
1996
1A. Pattern Based
Reason 1995
1B. Math
Curriculum Notes 1996
2. Three
Skills for Algebra 1995
3 .Why.Slopes.&.More.Math.1995
Skill &
Concept
Review or Development
1. Decimal
Arith - Video Based ]
2 Fractions
3. Fractions
with Units
3. Solving
Linear Equations -
making alg easier
4. Formulas
forwards & Backwards - unifying theme for Algebra
5. Proportionality,
Back- & For-wards - theme at work.
6. Logic
- Math Free, good for precision in work & studies
7. Euclidean-Geometry
(leanly)
8. Slopes
and Lines
9. Why
Study Slopes - a context
10. Quadratics
11 Polynomials
12 Factored
Polys - a context
13 Functions
- For-& Back -wards
14 Number Theory,
Richly
15. Exponents, Radicals
& logs.
16 Calculus
- Examples & Advice
17. Real
Analysis
18 Electric
Circuits Etc (So So)
19 Maps,
Similarity & Trig, (alt view)
20 Complex
numbers
21 Logic with
Symbols+truth tables
22 Consistent
Story Telling
23. Even
More Logic
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