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.