Ch. 3 Vocabulary 1.) parallel lines 2.) perpendicular lines 3.) skew lines 4.) parallel planes
5. ) transversal 6. ) corresponding angles 7 5.) transversal 6.) corresponding angles 7.) alternate interior angles 8.) alternate exterior angles 9.) same side interior angles 10.) perpendicular bisector (3-4)
3.1 Lines & Angles Geometry
Definitions Parallel lines (ll) – lines that are coplanar & do not intersect l ll m Skew lines – lines that are not coplanar & do not intersect. Perpendicular lines – (┴) intersect at 90°. Parallel planes – 2 planes that do not intersect. Example: the floor & the ceiling l m
Line AB & Line DC are ______________. Line AD & line DE are _______________. 3. Line AB & Line EF are _______________. 4. Line BC & Line AH are _______________. 5. Plane ABC & plane HGF are ____________. A B D C Parallel Perpendicular Skew H G E F
Transversal A line that intersects 2 or more coplanar lines at different points. t l m
Interior ∠s - ___, ___ , ___ , ___ (inside l & m) 2 3 4 5 6 7 8 Interior ∠s - ___, ___ , ___ , ___ (inside l & m) Exterior ∠s - ___, ___ , ___ , ___ (outside l & m) Alternate Interior ∠s - ___ & ___ , ___ & ___ (alternate –opposite sides of the transversal) Alternate Exterior ∠s - ___ & ___ , ___ & ___ Consecutive Interior ∠s - ___ & ___ , ___ & ___ (consecutive – same side of transversal) Corresponding ∠s - ___ & ___ , ___ & ___ , ___ & ___ , ___ & ___ (same location)
Assignment
Postulate 13: ll postulate If there is a line & a point not on the line, then there is exactly one line through the point ll to the given line.
Postulate 14: Post. If there is a line & a point not on the line, then there is exactly one line through the point that is to the given line.