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Definition of Perpendicular Lines Perpendicular Lines intersect at a right angle Perpendicular Lines Theorems: 1 - If two lines intersect to form a linear pair of two congruent angles, then the lines are perpendicular 2 - If two lines are perpendicular, then they intersect to form 4 right angles. Perpendicular Lines Theorems: 3 - If two sides of two adjacent acute angles are perpendicular, then the angles are complimentary. Perpendicular Transversal Theorem: If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other. Lines Perpendicular to a Transversal Theorem: If two lines are perpendicular to the same line, then the lines are parallel to each other. To find the distance between a point and a line: 1. Find the equation of a perpendicular line through the point. 2. Find the point where the two lines intersect. - (use substitution of systems of equations) 3. Use the distance formula between those two points. Find the distance between the line y = -x+3 and the point (7, 3). To find the distance between a point and a line: 1. Find the equation of a perpendicular line through the point. 2. Find the point where the two lines intersect. (use substitution of systems of equations) 3. Use the distance formula between those two points. To find the distance between 2 lines: 1. Choose a point on one of the lines. 2. Find the equation of a line, through that point, perpendicular to the other line. 3. Find that second point where the two lines intersect. (use substitution of systems of equations) 4. Use the distance formula between the two points. Find the distance between the two lines To find the distance between 2 lines: 1. Choose a point on one of the lines. 2. Find the equation of a line, through that point, perpendicular to the other line. 3. Find that second point where the two lines intersect. (use substitution of systems of equations) 4. Use the distance formula between the two points.