CHAPTER 4 MAIN CONCEPTS
4.1 Definition of Congruent Polygons
Example2, pg 211 and 212
Road Kill Triangles activity--know which combinations
of sides and angles result in congruent triangles and which ones don't.
4.2/4.3 Triangle Congruence Postulates and Theorems
SSS
SAS
ASA
AAS
HL--works only with right triangles
4.4 CPCTC
Proofs using overlapping triangles
Isosceles Triangle Theorem
Isosceles Triangle Theorem Converse
Corollary: an equilateral triangle has three angles that
measure 60°
Corollary: The bisector of the vertex angle of an isosceles
triangle is the perpendicular bisector of the base
The median from the vertex to the base of an isosceles
triangle divides the triangle into two congruent triangles
4.5 Everything You Always Wanted to Prove About
Quadrilateral Conjectures--notebooks of proved theorems.
4.6 What Does it Take to Make Parallelograms, Rectangles
and Rhombuses-- notebooks of proved theorems
Proof of the Triangle Midsegment Theorem
4.7 Know How to Construct using compass and straight-edge
and how to prove the following constructions:
Congruent triangles
Angle Bisector
SSS, SAS, ASA Congruent Angles Perpendicular Bisector
Perpendicular from a point outside a line
Parallel Lines