Proving Triangles Congruent. The Congruence Postulates SSS correspondence ASA correspondence SAS...
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Transcript of Proving Triangles Congruent. The Congruence Postulates SSS correspondence ASA correspondence SAS...
Proving Triangles Congruent
Proving Triangles Congruent
The Congruence PostulatesThe Congruence Postulates
SSS correspondence
ASA correspondence
SAS correspondence
AAS correspondence
SSA correspondence
AAA correspondence
Row Game Practice!
-Each row is a team-Everyone gets a white board and marker-I will check first person’s answer. If it’s correct, your team gets 7 points!-If first person’s answer is not correct, I will check everyone else’s in your row. Each correct answer is 1 point for your team.-Switch seats so everyone gets a chance to be the 1st person-Winning team gets candy!
Name That TheoremName That Theorem
SASSASASAASA
SSSSSSSSASSA
(when possible)
Name That TheoremName That Theorem(when possible)
ASAASA
SASASS
AAAAAA
SSASSA
(when possible)
SASASS
SASSAS
SASASS
Reflexive Property
Vertical Angles
Vertical Angles
Reflexive Property SSSS
AA
Name That Theorem Name That Theorem andand the property that the property thathelps you get therehelps you get there
Name That Theorem Name That Theorem andand the property that the property thathelps you get therehelps you get there (when possible)
Perpendicular Bisector
SASASS
Alt. Int. Angles Theorem
SASASS
AASAAS
Reflexive Property
Find the values of a and b that yields congruent
triangles
a = 6 b = 15
Quick Review!Quick Review!
Given ABC is a triangle, find the measure of each angle. Then classify the triangle by its angles and sides.mA = 2x + 5°, mB = 3x – 15° and m C = 4x + 1o°Right
Isosceles
Quick Review!
Find the measure of the exterior angle.
120°
Getting into formal proofs…
We will now use one of the 6 theorems to complete some formal proofs that show whether or not 2 triangles are congruent.
What theorem completes this proof?
What theorem completes this proof?
Try one on your own! What theorem completes this
proof?
Homework
2 Assignments:
Textbookpg. 271 #27-28, 31
Triangle Congruence Theorems WS