Step 1

To show whether there is an analog to the SSS triangle congruence theorem for quadrilateral.

Step 2

The SSS triangle congruence theorem states that if all 3 sides of one triangle are in proportion to all 3 sides of another triangle then those triangles are similar.

Step 3

It is observed that Side-Side-Side congruence is not sufficient to prove that two quadrilaterals are congruent. Since there are 4 parameters for a quadrilateral SSSS is possible.

Step 4

Therefore, there is no analog to the SSS triangle congruence theorem for quadrilateral.

To show whether there is an analog to the SSS triangle congruence theorem for quadrilateral.

Step 2

The SSS triangle congruence theorem states that if all 3 sides of one triangle are in proportion to all 3 sides of another triangle then those triangles are similar.

Step 3

It is observed that Side-Side-Side congruence is not sufficient to prove that two quadrilaterals are congruent. Since there are 4 parameters for a quadrilateral SSSS is possible.

Step 4

Therefore, there is no analog to the SSS triangle congruence theorem for quadrilateral.