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Chapter 2: Q8 (page 35)

Rewrite each pair of conditionals as a biconditional.

Ifthen is a straight angle. If is a straight angle, then.

Short Answer

Expert verified

The biconditional statement is: if and only if is a straight angle.

Step by step solution

01

Step 1. Define Biconditional Statement.

If a statement is consists of a conditional statement along with its converse, such statement is called a biconditional statement.

02

Step 2. Observe the statements.

Here first statement “If then is a straight angle.” has a converse which is the second statement “If is a straight angle, then “.

03

Step 3. State the Biconditional statement.

Since statement consists of a conditional statement along with its converse, thus, the biconditional statement is:

if and only if is a straight angle.

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Most popular questions from this chapter

Rewrite each pair of conditionals as a biconditional.

If B is between A and C, then .

If , then B is between A and C.

Justify each step.

z+73=−11

z+7=−33

z=−40

Mention what can be deduced from the given information.

Given: AE=DEand CE=BE

State the hypothesis and the conclusion of each conditional.

If , then is a right angle.

Justify each step.

15y+7=12−20y

35y+7=12

35y=5

y=17
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