It sort of depends on what PQ and PS are and, you have not bothered to provide that information!
Then they are simultaneous equations.
Invisible lines!
What do you call equations describing two or more lines
Since rs is the perpendicular bisector of pq, it follows that point s is the midpoint of segment pq, meaning that ps is equal to qs. Additionally, because rs is perpendicular to pq, the angles formed at the intersection (∠prs and ∠qrs) are both right angles (90 degrees). Consequently, any point on line rs is equidistant from points p and q.
They are simultaneous equations.
That they, along with the equations, are invisible!
sd ad ps fd
Its called Simultaneous Equations
If you refer to linear equations, graphed as straight lines, two inconsistent equations would result in two parallel lines.
one solution; the lines that represent the equations intersect an infinite number of solution; the lines coincide, or no solution; the lines are parallel
In the scenario described, angles 1 and 3 are corresponding angles formed by the transversal t intersecting the parallel lines PQ and RS, making them equal in measure. Similarly, angles 2 and 4 are alternate interior angles, which are also equal. Therefore, the relationships between these angles demonstrate the properties of parallel lines and transversals, confirming that angles 1 = angle 3 and angle 2 = angle 4.
For vertical lines, when you try to figure out the slope, you get zero in the denominator - in other words, a division by zero.