Perpendicular lines intersect at a 90-degree angle. The two lines can meet at a corner and stop, or continue through each other.

Two lines are perpendicular if and only if they form a right angle. Perpendicular lines (or segments) actually form four right angles, even if only one of the right angles is marked with a box.

Properties of perpendicular lines These lines always intersect at right angles. If two lines are perpendicular to the same line, they are parallel to each other and will never intersect.

Many doorframes have corners set at right angles. Perpendicular lines cross over — or “intersect” — one another at a right angle. The orientation sets them apart from (among other things) parallel lines, which never, ever intersect by definition. Two parallel lines a and b cut by a perpendicular transversal c.

Explanation: If the slopes of two lines can be calculated, an easy way to determine whether they are perpendicular is to multiply their slopes. If the product of the slopes is , then the lines are perpendicular. In this case, the slope of the line is and the slope of the line is .

Explanation: Perpendicular lines have slopes that are the opposite of the reciprocal of each other. In this case, the slope of the first line is -2. The reciprocal of -2 is -1/2, so the opposite of the reciprocal is therefore 1/2.

is not possible for two lines with positive slopes to be perpendicular to each other.

Which clearly tells us that line HJ is perpendicular to line AB. Therefore Option D. is the correct option.

−3

Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6. Rearranged, it is –x/2 + y = 6.

If two lines are perpendicular and neither one is vertical, then one of the lines has a positive slope, and the other has a negative slope. Theorem 105: If two nonvertical lines are perpendicular, then their slopes are opposite reciprocals of one another, or the product of their slopes is −1.

Answer: If two line segments intersect at 90 degrees, then two line segments are perpendicular.

If two parallel lines are cut by a transversal, then, Alternate Exterior Angles are congruent. If two parallel lines are cut by a transversal, then corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.

90 degree angles

90 degrees

Perpendicular lines are lines that intersect at right angles. If you multiply the slopes of two perpendicular lines in the plane, you get −1 . That is, the slopes of perpendicular lines are opposite reciprocals .

To see whether or not two lines are parallel, we must compare their slopes. Two lines are parallel if and only if their slopes are equal. The line 2x – 3y = 4 is in standard form. In general, a line in the form Ax + By = C has a slope of –A/B; therefore, the slope of line q must be –2/–3 = 2/3.