Which lines are perpendicular to each other?
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Which lines are perpendicular to each other?
Let's remember that perpendicular lines are vertical lines that create a 90-degree angle with each other.
To examine the types of angles that lines create with each other, let's draw a T at the intersection point of the lines in the following way:
Note that in drawings 1+4 we see right angles, meaning the lines are perpendicular to each other.
In the other drawings, the angles created are greater or smaller than 90 degrees, therefore the lines are not perpendicular.
1 and 4
What do the four figures below have in common?
Look for perfect square corners where the lines meet! Perpendicular lines create four angles at their intersection point. If you can imagine placing a small square perfectly in the corner, they're perpendicular.
No! Perpendicular lines can be at any angle as long as they meet at exactly . They could both be diagonal - what matters is the right angle where they intersect.
Lines 2 and 3 form angles that are close to but not exactly. In math, 'close' isn't good enough - perpendicular means exactly , no more, no less!
Check each pair systematically! Look for intersections that form perfect square corners. In this problem, only lines 1 and 4 meet this test - all other pairs create angles greater or less than .
No! For lines to be perpendicular, they must intersect (cross each other) and form angles at that intersection point. Parallel lines never touch, so they can't be perpendicular.
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