Honors Geometry - Triangles Ch3-4
name: _____________________
Essential Questions
Key Learning:
The sum of the measures of the interior angles
of a triangle is 180 degrees and the sum of the
measures of the interior angles of a convex
polygon is determined by the number of sides.
Proving triangles congruent is essential for
success in Geometry.
Isosceles and Equilateral Triangles have
characteristics not found in scalene triangles.
Know
Do
UEQ:
Why is the sum of the angles of a triangle
180o and how is this used to develop other
rules?
What are the essential elements needed to
prove that two triangles are congruent?
3-3
How do we classify triangles?
How is the exterior angle of a triangle related to the
measures of its remote interior angles?
3-4
Why is the sum of the measure of the interior angles of a
triangle 180 degrees?
How is the Triangle-Angle-Sum theorem used to find the sum
of the measures of the interior angles of a convex polygon?
How is inductive reasoning used to justify the Polygon
Exterior Angle-Sum Theorem
Key words:
acute triangle
right triangle
obtuse triangle
scalene triangle
equiangular triangle
equilateral triangle
isosceles triangle
Key words:
exterior angle of a triangle
remote interior angles
polygon
convex polygon
concave polygon
regular polygon
equilateral polygon
equiangular polygon
4-1
What relationships occur between corresponding angles of
congruent figures and corresponding sides of congruent
figures?
4-2/4-3
What are the five ways to prove triangles congruent?
What are some special relationships that commonly appear
in congruent triangles proofs?
4-4
What relationships exist between corresponding parts of
congruent triangles?
Key words:
congruent polygons
corresponding sides
corresponding angles
Key words:
SSS
SAS
ASA
AAS
HL
Key words:
CPCTC
What idea does CPCTC represent?
4-5
What are the special characteristics of Isosceles Triangles?
How will the special characteristics of Isosceles and
Equilateral Triangles help you to write proofs and find missing
measures?
Key words:
isosceles ∆
legs of an isosceles ∆
base of an isosceles ∆
vertex angle
base angles
corollary