Q14. - Geometry

Question

a. What is the converse of the Area Congruence Postulate?

Step-by-Step Solution

Answer

If two figures have same area, they are congruent.

Step 1. Given information.

Here given the area congruence posulate.

Step 2. Concept Used.

If two figures have same area, they are congruent.

Step 3. Define the converse of the area congruence posulate.

Area congruence postulate states that if two figures are congruent, they have the same area.

The Converse of Area congruence postulate is,

If two figures have same area, they are congruent.

1. Is this converse true or false? Explain. 

Step 1. Given information.

Here given the converse of Area congruence postulate.

Step 2. Concept Used.

If two figures have same area, they are congruent.

Step 3. Define the converse of the area congruence posulate.

Converse of Area congruence postulate states if two figures have same area, they are congruent which is a false statement.