Transcript Warm-Up Day 13 - Triangle Congruence Postulates SWBAT to prove triangles are congruent using SSS, SAS, ASA, AAS and HL.

Warm-Up
Day 13 - Triangle
Congruence Postulates
SWBAT to prove triangles are
congruent using SSS, SAS,
ASA, AAS and HL
Mini-Assessment #3
Date: Thursday 10/31 (Periods 2, 4) or Friday 11/01
(Periods 1, 3)
Covers:
•Day 10A – Pythagorean Theorem
•Day 10B – Similar Right Triangles / Geometric Mean
•Day 11 – Parallel Lines & Transversals (Corresponding
Angles, Alternate Interior Angles, Alternate Exterior
Angles, Same Side Interior Angles, etc)
•Day 12 – Isosceles Triangle, Exterior Angle, Triangle
Sum
Polygon Exterior Angle-Sum
Theorem
The sum of the measures of the exterior
angles of a polygon, one at each vertex,
is 360.
for the pentagon, mÐ1 + mÐ2 + mÐ3 + mÐ4 + mÐ5 = 360
Find the measures of the
exterior angles.
Congruent triangles have 3 congruent
sides and 3 congruent angles.
The parts of congruent triangles that
“match” are called corresponding parts.
In a congruence statement
ORDER MATTERS!!!!
Everything matches up.
AUG  DAY
Corresponding Parts of
Congruent Triangles are
Congruent
Complete each congruence statement.
If ABC  DEF,
B
then BC  EF
___
A
D
C
F
E
Complete each congruence statement.
If ABC  DEF,
B
then A D
___
A
D
C
F
E
Complete each congruence statement.
If ABC  DEF,
B
then C F
___
A
D
C
F
E
Fill in the blanks
If CAT  DOG,
OD
then AC  ___
Fill in the blanks
BAT  MON
T  N
___
ATB
_____  ONM
BA  MO
_____
NM  TB
____
Fill in the blanks
EGF
BCA   ____
CAB   GFE
____
Complete the congruence statement.
MKL   JKN
_____
Complete the congruence statement.
ABD   CBD
_____
There are 5 ways
to prove triangles
congruent.
Side-Side-Side (SSS) Congruence
Postulate
All Three sides in one triangle are
congruent to the three sides in the
other triangle
Side-Angle-Side (SAS) Congruence
Postulate
Two sides and the INCLUDED angle
of one triangle are congruent to
two sides and the included angle
of a second triangle.
Angle-Side-Angle (ASA)
Congruence Postulate
Two angles and the INCLUDED side
(the side is in between the 2 marked angles)
Angle-Angle-Side (AAS)
Congruence Postulate
Two Angles and One Side
that is NOT included
There is one more way to prove
triangles congruent, but it’s only for
RIGHT TRIANGLES…Hypotenuse Leg
}
NO BAD
WORDS
Your Only Ways
To Prove
Triangles Are
Congruent
2 markings you can
add if they aren’t
marked already
Share a side
Reason: reflexive
property
Vertical Angles
Reason: Vertical Angles are congruent
Homework WS
#1 – 12