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(4) By definition, a line m is "parallel" to a line l if for any twopoints P, Q on m, the perpendicular distance from P to l is the(5) It was unnecessary for Euclid to assume the parallel postulate(6) A "transversal" to two lines is another line that intersects both(7) By definition, a "right angle" is a 90° angle.same as the perpendicular distance from Q to Lbecause the French mathematician Legendre proved it.of them in distinct points.

Question

State whether the following statements are correct or not:
Give a short explanation for each.

(4) By definition, a line m is "parallel" to a line l if for any two
points P, Q on m, the perpendicular distance from P to l is the
(5) It was unnecessary for Euclid to assume the parallel postulate
(6) A "transversal" to two lines is another line that intersects both
(7) By definition, a "right angle" is a 90° angle.
same as the perpendicular distance from Q to L
because the French mathematician Legendre proved it.
of them in distinct points.
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(4) By definition, a line m is "parallel" to a line l if for any two points P, Q on m, the perpendicular distance from P to l is the (5) It was unnecessary for Euclid to assume the parallel postulate (6) A "transversal" to two lines is another line that intersects both (7) By definition, a "right angle" is a 90° angle. same as the perpendicular distance from Q to L because the French mathematician Legendre proved it. of them in distinct points.

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If the perpendicular distances of two points on a line from another line are equal(Assuming these two lines never intersect each other). Then, ...

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