Chapter4006more with proving traingle congruent
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Transcript of Chapter4006more with proving traingle congruent
Geometry Drill 12/19/14Which postulate, if any, can be used to prove the triangles congruent?
1. 2.
Put All HW and a Pen on the corner of your desk
4.
Geometry DrillWrite down the name of the figure described.
Only 1 figure. I will keep giving hints
Hint 1 : I am a special polygon
Hint 2: I have three sides
Hint 3: I have an angle that is neither obtuse or acute
Hint 4: My sides have a special relationship
Right Triangle
Geometry Objective
• STW continue to prove triangle congruent
4-4 Practice A
Statement Reason
DEAB .1
DFAC .2
DA .3
DEFABC .4
DEAB .1
DFAC .2
DA .3
DEFABC .4
Statement Reason
EFBC .1
EB .2
FC .3
DEFABC .4
Statement Reason
ADBC
BDAB
.1
ADBC
Statement Reason
ASA or AAS
ECAC
EDAB
//.1
EDCABC .5
Statement Reason
1. Given
SRTQRP .5
Statement Reason
1. Given
VOCABULARY
• HYPOTENUSE
• LEGS
• D IS A RIGHT ANGLE
• FE IS CALLED THE ___?_______
• DF & DE ARE CALLED ____?____
F
D
E
Given: AB || DC; DC ABProve: ∆ABC ∆ CDA
D C
A B
Proof
Statement
•
• AC AC
• < BAC _______
• ∆ABC ∆CDA
Reason
• Given
• ____________
• If _____________________
• ____________
Given: RS ST; TU ST; V is the midpoint of ST
Prove: ∆RSV ∆ UTV
R S
TU
V
Proof
Statement Reason
AAS THEOREM If two angles and a non-included
side of one triangle are congruent to two angles and a non-included side of another triangle then the triangles are
congruent.
GT Geometry
Given:
Prove:
A
BC
D
E
F
FEDECBAB ; ACFDFEAB ;
FEDABC
Pythagorean Theorem
a
bc
Pythagorean Theorem
a
bc a2 + b2 = c2
HLTHEOREMIf the hypotenuse and a leg of
one right triangle are congruent to the hypotenuse and a leg of another right triangle , then the triangles are congruent.