Parallel Lines in Cross Pattern: Identifying 6 Line Pairs with Right Angles

Question

Assuming all angles present are right angles, does the figure contain 6 pairs of parallel lines?

Video Solution

Solution Steps

00:00 Are there 6 pairs of parallel lines?
00:03 All angles are right angles according to the given data
00:07 Corresponding angles between parallel lines sum to 180
00:12 All lines are parallel due to the corresponding angles
00:42 And this is the solution to the question

Step-by-Step Solution

Let's remember that parallel lines are two straight lines that lie in the same plane and never intersect (do not cross).

Let's draw all the right angles in the drawing, and extend the lines to create parallel lines, as follows:

We saw that we marked 8 right angles in the drawing, now let's mark each pair of parallel lines:

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Note that in the drawing we marked 6 pairs of parallel lines.

Answer

Yes