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3.3: Parallel and Perpendicular Lines

3.3: Parallel and Perpendicular Lines. There is no spoon. -Spoon Boy and Neo. Relating Parallel and Perpendicular Lines. a. b. c. Theorem 3-9: If two lines are parallel to the same line, then they are parallel to each other. Relating Parallel and Perpendicular Lines. t. m. n.

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3.3: Parallel and Perpendicular Lines

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

  2. Relating Parallel and Perpendicular Lines a b 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 Lines t m 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 Lines t m 1 2 n Statements Reasons 1. 2. 3. 4. 1. 2. 3. 4.

  5. Relating Parallel and Perpendicular Lines n l m 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. Corresp. ‘s post. Relating Parallel and Perpendicular Lines n 1 l 2 m Statements Reasons 1. 2. 3. 4. 1. 2. 3. 4.

  7. 3.3: 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

  8. 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.

  9. Constructing a Special Quadrilateral a b 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.

  10. Constructing Perpendicular Lines l P 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.

  11. Constructing Perpendicular Lines R l 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.

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