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Found in: Page 35


Book edition Student Edition
Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Pages 227 pages
ISBN 9780395977279

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Short Answer

Write a definition of congruent angles as a biconditional.

The definition of congruent angles as a biconditional is: “AB if and only if mA=mB”.

See the step by step solution

Step by Step Solution

Step 1. Define the congruent angles.

Congruent angles are angles that have equal measures.

Let A and B both have equal measure then:

AB or mA=mB.

Step 2. Define the biconditional.

If a conditional and its converse are both true then they can be combined into a single statement by using connector “if and only if”. Such a statement containing the words “if and only if” is defined as a biconditional. For example, “p if and only if q”.

Step 3. Write the biconditional for the definition of congruent angles.

The definition of congruent angles tells us that the two statements AB or mA=mB are equivalent.

Therefore, the bi-conditional statement is:

AB if and only if mA=mB.

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