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Theorems about Perpendicular Lines

Theorems about Perpendicular Lines. Section 3.6. Theorems. If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular. Theorems. If two lines are perpendicular, then they intersect to form four right angles. Theorems.

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Theorems about Perpendicular Lines

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  1. Theorems about Perpendicular Lines Section 3.6

  2. Theorems • If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular.

  3. Theorems • If two lines are perpendicular, then they intersect to form four right angles.

  4. Theorems • If two sides of two adjacent acute angles are perpendicular, then the angles are complementary.

  5. Perpendicular Transversal Theorem • If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other.

  6. Lines Perpendicular to a Transversal Theorem • In a plane, if two lines are perpendicular to the same line, then they are parallel to each other.

  7. Slopes • Parallel lines have the same slope • Perpendicular lines have the negative reciprocal slope.

  8. Distance • The distance from a point to a line is the length of the perpendicular segment from the point to the line.

  9. Example • Graph the line y = x + 1. What point on the line is the shortest distance from the point (4, 1)? What is the distance?

  10. Assignment • pg. 194 #5-7, 13, 15-17, 23, 24, 31 • Go back and look at your notes 1. Underline or highlight important terms 2. Write questions to yourself in the left-hand column next to main ideas 3. Cross out or erase any unneeded information and fill in any gaps that you missed. 4. Write a 2-4 sentence summary at the bottom of your notes.

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