Write the following reversible statement as a biconditionat
It two perpendicular lines intersect, they form four 50" angles
(1 point)
A. Two intersecting Ines are perpendicular if and only they form four 50" angles
B. Two intersecting, perpendicular lines do not form four angles
C. Four 50° angles are formed by intersecting thes
D. Perpendicular Ines do not intersect
A. Two intersecting lines are perpendicular if and only if they form four 50° angles
A. Two intersecting lines are perpendicular if and only if they form four 50° angles
To write the given statement as a biconditional statement, we need to express the statement in the form "p if and only if q", where p represents the first part of the statement and q represents the second part of the statement.
The given statement is: "If two perpendicular lines intersect, they form four 50° angles."
Let's break down the statement into its two parts:
p: "Two perpendicular lines intersect."
q: "They form four 50° angles."
Now, we can combine p and q to form the biconditional statement:
p if and only if q: "Two intersecting lines are perpendicular if and only if they form four 50° angles."
Therefore, the correct answer is A. "Two intersecting lines are perpendicular if and only if they form four 50° angles."