# SSS Congruence

How to use the SSS congruence to show that the given triangles are congruent: postulate, 1 example, and its solution.

## Postulate

### Postulate

For two triangles,

if three sides of each triangle are congruent,

then those two triangles are congruent.

This is the SSS congruence postulate.

(Side-Side-Side congruence)

## Example

### Example

### Solution

To write a two-column proof,

make a two-column form like this.

Start from the given statement:

AB ≅ AD.

Use the other given statement:

C is the midpoint of BD.

C is the midpoint of BD.

Then, by the definition of a midpoint,

BC ≅ CD.

AC is congruent to itself:

AC ≅ AC.

This is the reflexive property.

For △ABC and △ADC,

three sides of each triangle are congruent.

AB ≅ AD

BC ≅ CD

AC ≅ AC

Then, by the SSS congruence postulate,

△ABC and △ADC are congruent.

You found the Prove statement

△ABC ≅ △ADC.

So close the two-column form

by drawing the bottom line.

This is the proof of the example.