Perpendicular lines intersect to form four right angles. A) Always B) Sometimes C) Never
The Correct Answer and Explanation is:
The correct answer is A) Always.
When two lines are perpendicular, they intersect at a 90-degree angle. This means they form four right angles at the point of intersection, regardless of the orientation or position of the lines. By definition, perpendicular lines are lines that meet at a right angle (90 degrees). Therefore, when these two lines cross, the angles formed between them are all right angles.
To further explain, if two lines are perpendicular, the angles between them at the point of intersection will always be 90 degrees. This results in four right angles, as the intersection divides the area around the point into four equal parts, each forming a right angle. This property is consistent and holds true in all cases where the lines are perpendicular.
Additionally, this concept is not restricted to any particular type of geometry. In both Euclidean geometry (flat, two-dimensional geometry) and in the context of three-dimensional space, perpendicular lines will always create four right angles when they intersect. The concept remains unchanged regardless of the lines’ placement in space.
A good way to visualize this is by considering a cross or the plus sign (“+”). The two arms of the cross are perpendicular to each other, and they form four 90-degree angles at their intersection.
Therefore, the answer is always, as perpendicular lines will always form four right angles when they intersect.
