What do the four figures have in common?
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What do the four figures have in common?
Let's remember that perpendicular lines are lines that form a 90-degree angle with each other.
Parallel lines are lines that will never intersect and do not form any angle between them.
In order to examine the types of angles that lines form with each other, we will draw a T at the intersection point of the lines in the following way:
Note that from the drawings we can see that what they all have in common is the right angle, which means that all the lines are perpendicular.
All show perpendicular lines.
What do the four figures below have in common?
Look for the small square symbol at the intersection point! This universal math symbol indicates a 90-degree angle, showing the lines are perpendicular.
All perpendicular lines intersect, but not all intersecting lines are perpendicular. Perpendicular lines must form exactly 90-degree angles at their intersection point.
No! Parallel lines never intersect, so they cannot be perpendicular. These are opposite concepts - parallel means never meeting, perpendicular means meeting at right angles.
When two lines intersect, they create four angles that add up to 360 degrees. If one angle is 90 degrees, then all four angles must be 90 degrees due to the properties of vertical and adjacent angles.
Yes! Lines can be perpendicular at any orientation - horizontal/vertical, diagonal, or any angle. What matters is that they intersect at exactly 90 degrees, not their position on the page.
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