Transcript 5.5 Proving Triangle Congruence by SSS

5.5 Proving Triangle Congruence
by SSS
OBJ: Students will be able to use Side-Side-Side (SSS)
Congruence Theorem and Hypotenuse-Leg (HL)
Congruence Theorem.
Do Now
2.
a) Find  A
b) Find the value of
x.
Side-Angle-Side (SSS) Congruence Theorem

If 3 sides of one triangle are
congruent to 3 sides of another
triangle, then they are congruent
Remember!
 Adjacent
triangles share
a side, so you
can apply the
Reflexive
Property
Example 1: Use SSS to explain why ∆ABC 
∆CDA.
Example 2: Determine if the
triangles are congruent. Explain your
reasoning.
Terms:
Hypotenuse: side opposite the right
angle
 Legs: In a right triangle, the adjacent
sides to the right angle

HL (Hypotenuse Leg)
If the hypotenuse
and a leg of a right
triangle are
congruent to the
hypotenuse and a
leg of another
right triangle, then
they are
congruent.
Example 3: Can you use
HL ?
Example 4: Show the
two angles are
congruent.