SSS/SAS/ASA

Postulate 19 SSS (Side-Side-Side) Postulate

If ____________ of one triangle are congruent to _____________

of a second triangle, then the triangles are congruent.

Example 1: __________ is the included side between P and E .

__________ is the included angle between PI and IE .

I

E

P

3 sides 3 sides

PE

Angle I

Postulate 20 SAS (Side-Angle-Side) Postulate

If _________________________________________________ of one

triangle are congruent to ____________________________________

______________ of a second triangle, then the triangles are congruent.

Postulate 21 ASA (Angle-Side-Angle) Postulate

If __________________________________________________of one

triangle are congruent to _____________________________________

_______________ of a second triangle, then the triangles are congruent.

two sides of one triangle and the included angletwo sides of another triangle and

two angles and the included sidetwo angles and the included side

Included angle

Included angle

Included side

the included angle

Example 3: Determine whether each pair of triangles can be proven congruent by using the congruence postulates. If so, write a congruence statement and identify the postulate used. None is a possible answer. Given: , , E O T B ET BO Given: , , F O R L Y I

E

W

O B T

I R

Y

O I

L

F

𝐴𝑆𝐴

∆ 𝐼𝐸𝑇 ≅∆𝑊𝑂𝐵𝑛𝑜𝑛𝑒

Given: , TR RK AR RC Given: DS bisects IDC , IS = CS

K

C

A

R T D

I

S

C

𝑆𝐴𝑆

∆ 𝐴𝑅𝑇 ≅ ∆𝐶𝑅𝐾𝑛𝑜𝑛𝑒

Given: , ET HG EI IG Given: FOGR , ROFR

T E

H G

I

G

𝐴𝑆𝐴∆ 𝑇𝐼𝐸≅∆𝐻𝐼𝐺

∆𝐺𝑅𝐹 ≅ ∆𝐺𝑅𝑂𝑆𝐴𝑆𝑡𝑤𝑜𝑝𝑎𝑟𝑎𝑙𝑙𝑒𝑙 𝑙𝑖𝑛𝑒𝑠→𝑠𝑝𝑒𝑐𝑖𝑎𝑙𝑎𝑛𝑔𝑙𝑒𝑠

F R O