Download Congruent Triangles

Congruent Triangles
Name_________________________
1. Is it possible to construct a unique triangle given the hypotenuse and a leg of a right
triangle?
A
B
hypotenuse
C
A
leg
2. Is it possible to construct a unique triangle given two angles and the side NOT
included between the two given angles?
A
B
B
C
METHODS OF PROVING TRIANGLES CONGRUENT (  ABC   EFD)
Side Side Side
(SSS)
Side Angle Side
E
B
(SAS)
E
B
A
A
F
D
F
D
C
C
If all three corresponding sides are
are congruent, then the triangles are
congruent.
If the two sides and the included angles
are congruent, then the triangles are
congruent.
Angle Side Angle (ASA)
Angle Angle Side (AAS)
E
B
E
B
A
A
F
D
D
C
C
If the two angles and the included side
are congruent, then the triangles are
congruent.
If the two angles and the excluded side
are congruent, then the triangles are
congruent.
Hypotenuse – Leg (HL)
E
B
D
C
A
F
If the hypotenuses and
legs of right triangles are
congruent, then the
triangles are congruent.
F