Is the statement true or false? Explain your reasoning.
Perpendicular lines always intersect at right angles.
The statement is true. Perpendicular lines do indeed intersect at right angles.
To understand why, it is first important to understand the definition of perpendicular lines. Two lines are said to be perpendicular if they meet at a right angle, which means that the angle formed by the intersection of the two lines measures 90 degrees.
Now, to determine if the statement is true or false, consider two lines, Line A and Line B, that are perpendicular. Take any point on Line A, and connect it to a point on Line B. This connection creates a line segment.
If Line A and Line B are truly perpendicular, then the angle formed by the intersection of Line A and Line B will be a right angle, measuring 90 degrees. Therefore, the statement is true – perpendicular lines always intersect at right angles.