1. 3.3: Parallel and Perpendicular Lines
There is no spoon.
3.3: Parallel and Perpendicular Lines
3.8: Constructing Parallel and Perpendicular Lines
There is no spoon.
-Spoon Boy and Neo

2. Relating Parallel and Perpendicular Linesb c
Theorem 3-9: If two lines are parallel to the same line, then they are parallel to each other.

3. Relating Parallel and Perpendicular Linesm n
Theorem 3-10: In a plane, if two lines are perpendicular to the same line, then they are parallel to each other.

4. Relating Parallel and Perpendicular Linesm 1 2 n
Statements
Reasons 1. 2. 3. 4.

5. Relating Parallel and Perpendicular Linesm
Theorem 3-11: In a plane, if a line is perpendicular to one of two parallel lines, then it is also perpendicular to the other.

6. Relating Parallel and Perpendicular Lines1 2 l m
Statements
Reasons 1. 2. 3. 4.
Corresp. ‘s post.

7. Constructing l || m N l
Step 1: Label point H on l. Draw HN. Label the angle it makes with l as .
Step 2: Construct with vertex at N so that
and the two angles are corresponding angles. Label this line m.

8. Constructing a Special Quadrilateralb
Step 1: Construct AZ with length a.
Step 2: Draw a point B not on AZ. Then draw AB.
Step 3: Construct a ray parallel to AZ through B.
Step 4: Construct Y so that BY = b. Then draw YZ.

9. Constructing Perpendicular Lines
Step 1: Put the compass point on point P. Draw arcs intersecting l in two points. Label the points A and B.
Step 2: Open the compass wider. With the compass tip on A, draw an arc above point P.
Step 3: Without changing the compass setting, place the compass point on B. Draw an arc that intersects the previous arc and label the intersection C.
Step 4: Draw CP.

10. Constructing Perpendicular Lines
Step 1: Put the compass point on point R. Draw arcs intersecting l in two points. Label the points E and F.
Step 2: Place the compass point in E and make an arc.
Step 3: Without changing the compass setting, place the compass point on F. Draw an arc that intersects the previous arc and label the intersection G.
Step 4: Draw RG.

11. 3.3: Parallel and Perpendicular Lines
Get busy living, or get busy dying.
3.3: Parallel and Perpendicular Lines
3.8: Constructing Parallel and Perpendicular Lines
HOMEWORK: p. 140 #51-52, p. 144 #26-27, p. 153 #45-46, Checkpoint Quiz 1 (p. 153) #1-9
Get busy living, or get busy dying.
-Red