Download 4.2 Congruence and Triangles

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Transcript
Congruent figures
• Have the same size
• And shape.
Non Congruent figures
• Have different shape
• And size
Corresponding parts of congruent
triangles are congruent.
A   D
B   E
C  F
ABC  DEF
ABC  DEF
The corresponding sides are also
congruent….
ABDE
BCEF
ACDF
ABC  DEF
Theorem 4.3-Third Angle
Theorem
• If two angles of one triangle are congruent
to two angles of another triangle,
• Then the third angles are also congruent.
Are these two triangles
congruent?
Theorem 4.4 Properties of
Triangle congruence
•
•
•
•
Triangle congruence is
Reflexive
Symmetric
Transitive
Review Problem
• What is the distance
between the points
C(3,-8) and D(-13,7)?
• What is the coordinate
of the midpoint of
segment CD?
Assignment 4.2