Transcript Slide 1
List the Congruent sides and angles:
Unit Essential Question:
How do you use given information to construct a
proof involving congruent triangles?
Essential Question:
When are triangles congruent?
Congruent Figures have the same size &
shape. They can be transformed so that one
will fit EXACTLY on the other:
Congruent figures have congruent
corresponding parts.
If these triangles are congruent, then list the
congruent corresponding parts:
Two triangles are congruent if all three pairs of
sides and all three pairs of angles are congruent.
Statements
Reasons
What does it mean to be SUFFICIENT?
Would having 3 pairs of congruent Angles be
sufficient to GUARANTEE two triangles are
congruent?
Why or Why not?
Essential Question:
What are the sufficient conditions to prove triangles are congruent?
INCLUDED?!?!
Essential Question:
What are the sufficient conditions to prove triangles are congruent?
Included side!!!
Essential Question:
How can you use congruent triangles to prove corresponding
parts are congruent?
Once you know that a pair of triangles are
congruent, you can safely concluded that ALL
of the corresponding parts of these triangles
must also be congruent:
Corresponding Parts of Congruent Triangles
are Congruent, or CPCTC.
Essential Questions:
What does CPCTC reveal about Isosceles & Equilateral triangles?
Base
Legs
Vertex Angle
Base Angles
What is the definition of congruent triangles?
What are sufficient conditions to prove
triangles congruent?
How do you use CPCTC?
Essential Question:
What are the sufficient conditions to prove triangles are congruent?
Hypotenuse
Legs
Why isn’t it covered by SAS?
Need:
Two Right Triangles
Congruent Hypotenuses
Congruent Legs
Essential Question:
How can you use congruent triangles to prove corresponding parts are
congruent?