1Geometry Lesson: S.S.S. Postulate

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1) )

How do we prove triangles congruent using Side-Side-Side Postulate?

In each example, state a plan for proving the triangles are congruent.

1. Reflexive Post.

X 1. Reflexive Post.2. A.S.A.

3. S.A.S.

2. S.A.S.

4)

1. S.S.S.))

3) 1. Supplements of congruent angles.

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2. Reflexive Post.

X

2

Postulate: Postulate: Side-Side-Side Postulate (S.S.S.)

If the three sides of one triangle are congruent to the three sides of another triangle, then the two

triangles are congruent.

CE DF

Ex: Which sides must first be proved congruent in order to prove the triangles congruent using

the S.S.S. Postulate?1)

A

B

CD

2)

AB

C

D

EF

3)A B

CD

AD BCBD BD

X

3Geometry Lesson: S.S.S. Postulate

Ex 1: Proof w/S.S.S.

Statement Reason

1) 1)

2) 2)

3) 3)

4) 4)

5) 5)

6) 6)

GivenGiven

Def. line bisector

Def. midpoint

Reflexive Postulate

S.S.S. Postulate

R

TP X

Given:

Prove: bisects RX PT

RP RT

PRX TRX

(s)RP RT

is midpoint of X PT

(s)PX XT

bisects RX PT

(s)RX RXPRX TRX

4Geometry Lesson: S.S.S. Postulate

Ex 2,3,4: Proofs w/S.S.S.2) Given:Prove:

NQP

R

, NQ RQ NP NR PNQ PRQ

E

P

NX

L

Q••3) Given:

Prove:

, EP EQ PN QL is midpoint of X NLNEX LEX

P

A V

C

RT

4) Given:

Prove:

AV RP and bisect each otherAP VR

AVC PRC

5Geometry Lesson: S.S.S. Postulate

Ex 5,6: Proofs w/S.S.S. A F

C DB E

5) Given:

Prove:CBA DEF

, BCDE AB FE, AC FD BD EC

K P

HL

6) Given:

Prove:

KL PHKH PLKLH PHL

2 56x R

N

P7 24x 2 8x

4x

E

GH

7) If , determine ,

, , , and the

perimeter of .

EHG NRP x

EH HG GE

EHG