Does SSSS postulate work as a congruence theorem for quadrilaterals? Explain.

nah. they can be squashed around and still have the same sides. as a square and rhombus.

The SSSS postulate, also known as the Side-Side-Side-Side postulate, states that if the four sides of one quadrilateral are congruent to the four sides of another quadrilateral, then the two quadrilaterals are congruent.

To explain how the SSSS postulate works as a congruence theorem for quadrilaterals, we need to understand what congruence means in geometry. In geometry, two figures are considered congruent if they have the same size and shape.

To use the SSSS postulate to prove that two quadrilaterals are congruent, you need to show that all four sides of one quadrilateral are congruent to the corresponding four sides of the other quadrilateral.

Here's how you can apply the SSSS postulate to prove quadrilateral congruence:

1. Start by identifying and labeling the corresponding sides of the two quadrilaterals. Make sure that the sides you are comparing are in the same order for each quadrilateral.

2. Measure the lengths of the sides of both quadrilaterals using a ruler or any other suitable measuring tool. Ensure that the sides you are comparing are equal in length.

3. If you find that all four sides of one quadrilateral are congruent to the corresponding four sides of the other quadrilateral, you can conclude that the two quadrilaterals are congruent based on the SSSS postulate.

For example, consider two quadrilaterals, ABCD and EFGH. If you find that AB = EF, BC = FG, CD = GH, and DA = HE, you can use the SSSS postulate to prove that quadrilateral ABCD is congruent to quadrilateral EFGH.

In summary, the SSSS postulate works as a congruence theorem for quadrilaterals by stating that if all four sides of one quadrilateral are congruent to the four sides of another quadrilateral, then the two quadrilaterals are congruent.