Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

2 fill in the blank 3 points write the converse of the write o bicondit…

Question

2 fill in the blank 3 points write the converse of the write
o biconditional\. conditional statement: if converse: if two lines ar is the converse true or fal biconditional statement: choose your answer... no biconditional two lines never intersect if and only if they are parallel or skew. some lines that intersect arent perpendicular. two lines intersect to form right angles if and only if they are perpendicular. angles, then they are perpendicular. determine if the converse is true or false. if true, combine the statements as a biconditional. if false.

Explanation:

Step1: Recall converse definition

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

Step2: Determine truth - value

By the definition of perpendicular lines (two lines are perpendicular if they intersect at a 90 - degree angle or right - angle), the converse is true.

Step3: Form biconditional

Since the converse is true, the biconditional statement is "Two lines intersect to form right angles if and only if they are perpendicular".

Answer:

Two lines intersect to form right angles if and only if they are perpendicular.