Download congruent triangles SSS and SAS

Congruent
Triangles
Side-Side-Side (SSS)
If 3 sides of a triangle
are congruent to 3 sides
of another triangle, then
the two triangles are
congruent.
Side-Angle-Side
(SAS)
If 2 sides and the angle in
between the two sides of a
triangle are congruent to two
sides and the angle in between
another triangle,then the two
triangles are congruent
Angle-Side-Angle (ASA)
If two angles and the side in
between those two angles
are congruent to another
triangle’s two angles and the
side in between those two
angle, then the two triangles
are congruent.
Angle-Angle-Side
If two pairs of angles
and a pair sides are
congruent, then the
two triangles are
congruent.
What additional information is needed
to prove
using SAS?
What additional information is needed
to prove
using AAS?
What additional information is needed
to prove
using ASA?
Hypotenuse-Leg (HL)
Only works for right triangles
Like the donkey theorem, but works!...
only for right triangles
If the hypotenuses are congruent and
a pair of legs are congruent, then the
two triangles are congruent
Corresponding Parts of
Congruent Triangles are
Congruent (CPCTC)
•
After proving that two triangles
are congruent, all corresponding
parts are congruent
PROVE FE || JK