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If two coplanar lines do not intersect then they must be what?
Skew. * * * * * FALSE. In fact, if they are skew, they must intersect. They have to be parallel for them not to intersect.
Is it true that two parallel lines must be vertical?
No, as long as the lines will never touch, they are parallelNo, if they have the same slope, they're parallel. This means they could be vertical, horizontal, or anything in between.And don't listen to the other guy, because skew lines are lines on two different planes, never intersect, and are not parallel.
What is a counter example for the statement congruent angles are always vertical angles?
Vertical angles must necessarily be congruent, however congruent angles do not necessarily have to be vertical angles. An example of congruent angles which are not vertical angles are the 3 interior angles of an equilateral triangle. These angles do not share the same vertex yet they are congruent.
What Lines that neither intersect nor are parallel?
If lines neither intersect nor are parallel, then they must be drawn in 3D space, or a higher dimension.(These lines are called skew lines)
Why vertical angles must always be congruent?
Because if they werent, they would eventually form an angle.
If two lines intersect then the vertical angles formed must be?
Equal angles.
Two lines which intersect to form right angles?
...must be coplanar.
Are parallels lines angles?
No. To be an angle, the ends of each ray must have the same endpoint, therefore, the lines must intersect. Parallel lines have the same slope, so cannot ever intersect.
Can 2 line be intersecting perpendicular?
Perpendicular lines intersect at right angles. (90°) Therefore, by the definition of perpendicularity, two perpendicular lines must intersect.
Why electric lines of force intersect equipotential surface at right angles?
As we know equipotential surface means there is no potential difference that is no work is done on surface.so lines of force must intersect surface at right angles to satisfy this statement,so that net work is zero.
What is the difference between vertical angles and congruent angles?
not all congruent angles are vertical angles. Vertical angles must share a vertex.
If two coplanar lines do not intersect then they must be what?
Skew. * * * * * FALSE. In fact, if they are skew, they must intersect. They have to be parallel for them not to intersect.
Is it possible to have two lines intersect that form four acute angles?
No, all the angle measures have to add up to 360 and opposite angles must be equal. So, you can only have two acute angles.
Can vertical angles be complementary?
Vertical angles must be congruent so if they are complementary, they must be 45 degrees to be complementary.
If two lines do not intersect must they be parallel?
If the two lines lie in the same plane, and they do not intersect, then they are parallel. If they are not in the same plane, and do not intersect, then they are called skew lines.
How can we rewrite Euclid's fifth postulate?
Euclid's fifth postulate: If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two right angles, then the two lines inevitably must intersect each other on that side if extended far enough.It can be rewritten: If two lines are drawn which intersect a third at angles of 90 degrees, the two lines are parallel and will not intersect each other.It has also been rewritten as Playfair's axiom:In a plane, given a line and a point not on it, at most one line parallel to the given line can be drawn through the point.
Vertical angles must be adjacent?
No.
