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
o biconditional\. conditional statement: if two lines intersect to form right angles, then they are perpendicular. converse: choose your answer... if two lines do not intersect to form right angles, then they are not perpendicular. is the conv answer... biconditio wwer... if two lines are not perpendicular, then they do not intersect to form right angles. 3 fill in the b if two lines are perpendicular, then they intersect to form right angles. write the c nent below. determine if the converse is true or false. if true, combine the statements as a biconditional. if false, write
o b angles.\.

Explanation:

Step1: Recall converse definition

The converse of a conditional statement "If p, then q" is "If q, then p". Here, p = "two lines intersect to form right - angles" and q = "they are perpendicular".

Step2: Write the converse

The converse is "If two lines are perpendicular, then they intersect to form right angles".

Step3: Determine truth value

In geometry, by the definition of perpendicular lines, if two lines are perpendicular, they intersect to form right angles. So the converse is true.

Step4: Form biconditional

The biconditional statement is "Two lines are perpendicular if and only if they intersect to form right angles".

Answer:

Converse: If two lines are perpendicular, then they intersect to form right angles.
Is the converse true: True
Biconditional: Two lines are perpendicular if and only if they intersect to form right angles.