Download Congruent Triangles (part 1)

Congruent Triangles (part 1)
Congruent figures—two geometric figures that have exactly the same size and shape
congruent
not congruent
Corresponding parts—a pair of sides or angles that have
the same relative position in two
congruent figures
Congruence Statement
Corresponding Angles
Corresponding Sides
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Congruent Triangles (part 1)
In the diagram, ∆TJM ≅ ∆PHS. Complete the statement.
Use the given information to find the values of x and y.
F
A
(y2 + 9)°
89°
57°
B
D
C
(145 – 8x)°
E
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Congruent Triangles (part 1)
Third Angles Theorem
If two angles of one triangle are congruent to two angles of another triangle, then the third angles are also congruent.
Are the figures congruent?
If so, write a congruence statement.
E
H
G
F
I
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Congruent Triangles (part 1)
Properties of Congruent Triangles
REFLEXIVE PROPERTY
SYMMETRIC PROPERTY
TRANSITIVE PROPERTY
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