Unit 1 Lines, Angles, and Triangles
1.
4 Congruent Triangles
Definitions and Notation
Congruent triangles Triangles whose vertices can be made to
coincide (triangles with the same shape and
size): angles that coincide are called
corresponding angles; sides...
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Unit 1 Lines, Angles, and Triangles
1.
4 Congruent Triangles
Definitions and Notation
Congruent triangles Triangles whose vertices can be made to
coincide (triangles with the same shape and
size): angles that coincide are called
corresponding angles; sides that coincide are
called corresponding sides.
≅ Is congruent
a, b, c The lengths of the sides of a triangle
opposite angles A, B, and C, respectively
a ,b ,c′ ′ ′ A prime, b prime, c prime; the lengths of the
sides of a triangle opposite angles anda ,b ,′ ′
c′ respectively
Example
∆ABC ≈ ∆A′B′C′
If ∆ABC and ∆A′B′C′ are cut out, vertices A
and A′, B and B′, and C and C′ can be made
to coincide.
Corresponding sides : AB and A B′ ′, BC
and B C′ ′, CA and C A′ ′
Corresponding angles:
∠A and ∠A′, ∠B and ∠B′, ∠C and ∠C′
Side included by two angles of a A side whose endpoints are vertices of two
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