Q: What line passes through 2 parallel lines?

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Slope of line 1 is 1/3 and slope of line 2 is 1/3 which means the lines are parallel

No line can intersect parallel lines. Parallel lines by definition never intersect.

Wrong statement. Parallel lines don't always make vertical angles without the transversal, the line that passes through these lines. Without the transversal, we can't make the conclusion that parallel lines form vertical angles.

The line that cuts a parallel line is called a TRANSVERSAL. When you have parallel lines and you want to show like corresponding, vertical, ect.... then the line that cut through the parallel lines is a TRANSVERSAL

A line that cuts through two parallel lines.

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Slope of line 1 is 1/3 and slope of line 2 is 1/3 which means the lines are parallel

No line can intersect parallel lines. Parallel lines by definition never intersect.

Wrong statement. Parallel lines don't always make vertical angles without the transversal, the line that passes through these lines. Without the transversal, we can't make the conclusion that parallel lines form vertical angles.

The line that cuts a parallel line is called a TRANSVERSAL. When you have parallel lines and you want to show like corresponding, vertical, ect.... then the line that cut through the parallel lines is a TRANSVERSAL

Assume there are no lines through a given point that is parallel to a given line or assume that there are many lines through a given point that are parallel to a given line. There exist a line l and a point P not on l such that either there is no line m parallel to l through P or there are two distinct lines m and n parallel to l through P.

A transversal is simply any line that passes through two or more coplanar lines each at different points. So picture, if you will, two lines that are clearly not parallel. I can easily construct a transversal that passes through them. HOWEVER, if two parallel lines are intersected by a transversal, then the corresponding angles are congruent. This is called the transversal postulate. If the corresponding angles are congruent, than the lines are parallel. This is the converse of the first postulate. So, the answer to your question is NO, unless the corresponding angles are congruent.

A line that cuts through two parallel lines.

a transversal

transversal

Lines of Longitude are imaginary lines that run from the North Pole to the South Pole. The main line of longitude, the Prime Meridian (zero longitude), passes through the Greenwich Observatory, London, England.

Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the given line (-7,3); x=4

[ x = 3 ] and [ x = -2 ] are two separate vertical lines on the graph.The first vertical line passes through the point [ x = 3 ] on the x-axis.The second vertical line passes through the point [ x = -2 ] on the x-axis.Both lines have infinite slope.Neither line has a y-intercept.The lines are parallel, and they never intersect.