Skew, Parallel and Perpendicular Lines Chapter 4.1 Skew, Parallel and Perpendicular Lines
Objectives: We’ll learn… Define the characteristics of skew, parallel and perpendicular lines.
Skew Lines Skew lines lie in different planes. They are Not parallel Not intersecting Not perpendicular.
Skew lines Skew lines are noncoplanar lines. (Noncoplanar lines cannot intersect.)
SKEW LINES Lines that lie in different planes. They are neither parallel nor intersecting.
SKEW LINES Lines that lie in different planes. They are neither parallel nor intersecting. CD and FA are SKEW LINES FA and BD are SKEW LINES G B F A H D E C
Use the figure to find the following: A B E F D C H G Two pairs of Parallel Lines Two pairs of Parallel Planes Two pairs of Skew Lines
PARALLEL LINES 28 Def: lines that do not intersect; must be coplanar. Illustration: Notation: l || m AB || CD A B C D l m p. 129
Two lines are parallel if they do not intersect. B C D Read as line AB is parallel to line CD. EX1: Are the lines parallel?
Examples of Parallel Lines Hardwood Floor Opposite sides of windows, desks, etc. Parking slots in parking lot Parallel Parking Streets: Laramie & LeClaire
Examples of Parallel Lines Streets: Belmont & School
29 PERPENDICULAR LINES Def: Lines that intersect to form a right angle. Illustration: Notation: m n Key Fact: 4 right angles are formed. m n p. 79
PERPENDICULAR Lines that intersect to form right angles. 90° 90° 90°
When two lines intersect at right angles, TRICK: 4 right angles are formed, but it shows 1 only. (The other 3 are invisible.) They are called perpendicular lines. ┴
Ex. of Perpendicular Lines Window panes Streets: Belmont and Cicero
Language of Geometry
Parallel lines & Transversal
Angles, Parallel Lines & Transversal
Homework p. 144, 1-9, 15-17