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Chapter 11: Q14. (page 425)

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

Short Answer

Expert verified

If two figures have same area, they are congruent.

Step by step solution

01

Step 1. Given information.

Here given the area congruence posulate.

02

Step 2. Concept  Used.

If two figures have same area, they are congruent.

03

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.
04

Step 1. Given information.

Here given the converse of Area congruence postulate.

05

Step 2. Concept  Used.

If two figures have same area, they are congruent.

06

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.

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