Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
1. Conditional Statements
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Exercise 35 Page 448

When a conditional statement and its converse are both true, you can write it as a single biconditional statement.

An angle is a right angle if and only the angle's measure is 90^(∘).

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When a conditional statement and its converse are both true, it can be rewritten as a single biconditional statement. If p is the hypothesis and q the conclusion, the biconditional statement is written as p if and only if q. We have been given both a hypothesis and a conclusion of a true statement.

p&=An angle is a right angle q&=The angle's measure is $90^(∘)$ Using deductive reasoning, we know that both the conditional statement and converse is true. Therefore, we can write this as a biconditional statement. Biconditional statement An angle is a right angle if and only if the angle's measure is $90^(∘)$.