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The pairs of alternate interior angles areĮxterior Alternate angles– These angles are formed on either side of the transversal outside the two parallel. ∠3 and ∠7 are corresponding pairs of angles.Īlternate Interior angles- These angles are formed on the inside of two parallel lines when a transversal intersects them.
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Here ∠3, ∠4, ∠6, and ∠5 are interior angles.Ĭorresponding angles– The angles that occupy the same relative position at each intersection. Interior angles – The angles located inside of the lines are. Here, ∠1, ∠2, ∠7, and ∠8 are exterior angles. The angles are related as follows:Įxterior angles – The angles that are situated outside of the line. When a transversal cuts two parallel lines, several angles are formed. In geometry, a transversal is a line that intersects two or more lines. However, two intersecting lines are not always perpendicular to each other. Two perpendicular lines are always intersecting lines. So, if there is another straight line in the same plane with a slope of 3 will be parallel to the given line. For example, if the equation of a line is, y = 3x + 2, this means the slope of this line is 3. Note: Although parallel lines have the same slope, they do not have the same equation. If two lines are perpendicular to each other, the angle between them will be 90.Įxample: The two railings of a staircase are parallel to each other.Įxample: The corner of two walls is perpendicular.
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If two lines are parallel, the angle between them will be zero. The slopes of perpendicular lines are negative reciprocals of each other. The slope of parallel lines is always equal. The lines which make right angles at the point of intersection are perpendicular. The lines that never intersect and are equidistant are parallel lines. The following table enumerates the key differences between parallel and perpendicular lines. Parallel lines are different from perpendicular lines.