Question

write the converse of the conditional statement below. determine if the converse is true or false. if true, combine the statements as a biconditional. if false, write no biconditional. conditional statement: if an angle is acute, then it measures less than 90. converse: drop - down options including if the angle measures less than 90, then it is acute etc. is the conv converse drop - down for answer biconditio biconditional drop - down for answer 2 fill in the write the converse of the conditional statement below. determine if the converse is true or false. if true, combine the statements as a biconditional. if false, write no biconditional. conditional statement: if two lines intersect to form right angles, then they are perpendicular.

Explanation:

Step1: Recall converse definition

The converse of a conditional statement "If p, then q" is "If q, then p".
For the statement "If an angle is acute, then it measures less than 90", p is "an angle is acute" and q is "it measures less than 90". So the converse is "If an angle measures less than 90, then it is acute".

Step2: Determine truth - value

By the definition of an acute angle (an angle whose measure is between 0 and 90 degrees), if an angle measures less than 90 (and greater than 0), it is acute. So the converse is true.

Step3: Form biconditional

Since the conditional and its converse are true, the biconditional is "An angle is acute if and only if it measures less than 90".

Answer:

Converse: If an angle measures less than 90, then it is acute.
Is the converse true: True
Biconditional: An angle is acute if and only if it measures less than 90.