p
: An angle is obtuse.
q
: An angle’s measure is greater than 90° and
less than 180°.

Holt McDougal
Geometry
2-4Biconditional Statements and DefinitionsWrite the conditional statement and converse within the biconditional.Example 1B: Identifying the Conditionals within a Biconditional Statement

Holt McDougal
Geometry
2-4
Biconditional Statements
and Definitions
Example 1B Continued
The two parts of the biconditional
x
y
are
x
y
and
y
x
.
Conditional:
If a solution is neutral,
then
its
pH is 7.
Converse:
If a solution’s pH is 7,
then
it is neutral.
Let
x
and
y
represent the following.
x
: A solution is neutral.
y
: A solution’s pH is 7.

Holt McDougal
Geometry
2-4
Biconditional Statements
and Definitions
Check It Out! Example 1a An angle is acute iff its measure is greater than 0° and less than 90°.Write the conditional statement and converse within the biconditional.

Holt McDougal
Geometry
2-4
Biconditional Statements
and Definitions
Check It Out!
Example 1a Continued
Conditional: If
an angle is acute
, then
its
measure is greater than 0° and less than 90°
.
Let
x
and
y
represent the following.
x
: An angle is acute.
y
: An angle has a measure that is greater than
0
and less than 90
.
The two parts of the biconditional
x
y
are
x
y
and
y
x
.
Converse: If
an angle’s measure is greater than 0°
and less than 90°
, then
the angle is acute.

Holt McDougal
Geometry
2-4
Biconditional Statements
and Definitions
Check It Out! Example 1b Cho is a member if and only if he has paid the $5 dues.Write the conditional statement and converse within the biconditional.
y
.

Holt McDougal
Geometry

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