Download XYZ = QRS

XYZ =
QRS
Name all the corresponding
congruent parts.
Y
R
X
Z
S
Note: To prove that two triangles are
congruent, you must show that the 3 sets
of angles are congruent AND that the 3
sets of sides are congruent!!
That's a total of 6 sets of congruent parts.
Q
8.1­2 Proving Triangles Congruent : SSS, SAS, ASA, AAS
Objective: Prove two triangles are congruent
using the SSS, SAS, ASA, AAS postulates.
An included angle is an angle formed by two adjacent sides of a polygon.
∠B is the included angle between sides AB and BC.
Remember:
An included side is the common side of two consecutive angles in a polygon. The following postulate uses the idea of an included side.
8-1
8-2
Do you have enough information to prove the triangles
congruent? If so, write the congruence statement and
give the postulate.
What additional piece of information is needed to prove that these two triangles are congruent by the given postulate?
HW # 86 Triangle Congruency Worksheet 8.1­2 Proving Triangles Congruent : SSS, SAS, ASA, AAS
Objective: Prove two triangles are congruent
using the SSS, SAS, ASA, AAS postulates.
8-3
8-1
Determine if ∆NKL ≅ ∆LMN. Determine if you can use ASA to prove the triangles congruent. Explain.
Identify the postulate or theorem that
proves the triangles congruent.
Are the two triangles congruent? If they are, state
how you know.