University:
Missouri State University
Course:
MTH 460 | College Geometry
Academic year:

2021
Views:

214

Pages:

16
Author:

fintaira1i6

Review: Intersecting Lines – Coplanar lines that share one common point. Symbol:  A D Example: AC  BE at D. E B C Lines that intersect to form right angles. A Symbol: ^ Example: BD ^ AC B D C Three or more lines that intersect at the same point. D A Example: AG, BF, and DH are concurrent lines and intersect at point K. F K B H G Definition – coplanar lines that do not intersect Symbol: // A B D Example: C AB // CD Example Definition – noncoplanar lines. Therefore, they are neither parallel, norG F intersecting. EG and AB are skew lines E D H A C B Definition – planes that do not intersect. G Examples: GFDE and HCBA GHAE and DBCF E F D H A C B Check for Understanding 1. Two parallel lines. 2. Two parallel planes. 3. Two skew lines. 4. Two intersecting planes. G E F D H A C B Figure is a cube. 5. Two intersecting lines. 6. Three concurrent lines. 7. Four coplanar points. 8. Two perpendicular lines. Name each figure using proper notation. G Check for Understanding 1. ED  DB Point D 2. EDFG  DFCB DF 3. Classify GE and DF. Parallel 4. Classify GE and DB. Skew E F D H C A B Figure is a cube. 5. Classify GE and EA. Intersecting or Perpendicular 6. Classify GE and BC. Parallel Definition – a line that intersects two or more coplanar lines in different points. Note: the “two or more coplanar lines” do NOT have to be parallel. When two lines cut by a transversal several pairs of angles are formed. 2 1 Corresponding Angles 3 1 Alternate Interior Angles 5 4 Alternate Exterior Angles 1 6 Same Side Interior Angles 2 4 Same Side Exterior Angles 5 3 6 7 1 8 4 2