Theorems about Perpendicular LinesSection 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 If two sides of two adjacent acute angles

are perpendicular, then the angles are complementary.

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 In a plane, if two lines are perpendicular

to the same line, then they are parallel to each other.

Slopes Parallel lines have the same slope

Perpendicular lines have the negative reciprocal slope.

Distance The distance from a point to a line is the

length of the perpendicular segment from the point to the line.

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?

Assignment pg. 194 #5-7, 13, 15-17, 23, 24, 31

Go back and look at your notes1. Underline or highlight important terms 2. Write questions to yourself in the left-

hand column next to main ideas3. 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.