1. 3.4 Perpendicular Lines

2. Definitions:
Perpendicular Bisector- a line intersecting a segment at its midpoint forming right angles.
Distance from a point to a line- the length of the perpendicular segment from the point to the line.

3. Examples:
1) Name the shortest segment from point A to BC. 2) Write and solve an inequality for x.

4. Perpendicular Lines:
If 2 lines intersect forming a linear pair of congruent angles, the lines are perpendicular.
Draw pictures describing each Theorem.

5. Perpendicular Lines:
If a transversal is perpendicular to one of two parallel lines, it is perpendicular to the other.
Draw pictures describing each Theorem.

6. Perpendicular Lines:
If two lines are perpendicular to the same line, the two lines are parallel.
Draw pictures describing each Theorem.

7. Example: A carpenter’s square forms a right
angle. A carpenter places the square so
that one side is parallel to an edge of a
board, and then draws a line along the
other side of the square. Then he
slides the square to the right and
draws a Second line. Why must the two
lines be parallel?