The theorem states, that given two parallel lines, if the transversal is perpendicular to one line, then it is perpendicular to both lines. An example of two parallel lines with a perpendicular transversal In o
Learn about perpendicular lines and their properties. Learn how to use theorems, like the perpendicular transversal theorem, to prove lines are...
Show by example that Theorem 2.12 is not correct if you remove hypothesis 1 and allow the quadrilateral to be self-intersecting (e.g., AD↔ intersects BC↔). (b) Explain why the proof given does not work if the quadrilateral is self-intersecting. (c) Find a rigorous proof for Theore...
True or False? If ABCD is a rhombus, since its opposite sides are congruent: AB = DC and AD = BC, by a theorem we conclude that ABCD is a parallelogram. If the diagonals of a parallelogram are congruent, then the parallelogram is a re...
According toPythagoras Theorem In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides. Mathematically, Base2+ Perpendicular2= Hypotenuse2 Therefore, if “a” is the base, “b” is the perpendicular and “c” is the hypotenuse ...
Transversal vibrations Transverse colon 1 Perpendicular A line at right angles to the plane of the horizon; a vertical line or direction. 1 Perpendicular A line or plane falling at right angles on another line or surface, or making equal angles with it on each side. 1 Perpendicular A straight...