Survey
* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project
Unit 5 Geometry: Lines & Angles Term Holt Ref. Pages: 146-205 Holt Page Reference Parallel lines Definition/Description/Example Coplanar and do not intersect 146 Intersect at 90o angles. Perpendicular lines 146 Not coplanar, not parallel and do not intersect Skew lines 146 Planes that do not intersect. Parallel planes 146 Line that intersects two coplanar lines at different points. Transversal 147 Helpful Hint: Determining a Transversal 147 To determine which line is a transversal for a given angle, locate the line that connects two vertices. Unit 5 (Continued) Geometry: Lines & Angles Term Holt Ref. Pages: 146-205 Holt Page Reference Corresponding Angles 147 Definition/Description/Example On same side of transversal and same side of paired lines. Non-adjacent. On opposite sides of the transversal. Between the paired lines. Alternate Interior Angles 147 Alternate Exterior Angles 147 Same-side Interior Angles (Consecutive) Corresponding Angles Postulate (Converse) 147 155 (162) On opposite sides of the transversal and outside of the paired lined On same side of the transversal and between the paired lines. If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent. (If two lines are cut by a transversal, so that a pair of corresponding angles are congruent, then the two lines are parallel.) Unit 3 (Continued) Geometry Foundations: Angles Holt Ref. Pages: 20-21, 28-30, 110-112 Holt Page Reference Definition/Description/Example 156 If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent. (Converse) 163 If two coplanar lines are cut by a transversal, so that a pair of alternate interior angles are congruent, then the two lines are parallel. Alternate Exterior Angles Theorem 156 Theorem/Postulate/Defn. Alternate Interior Angles Theorem (Converse) Same-side Interior Angles Theorem (Consecutive Angles) (Converse) 163 If two parallel lines are cut by a transversal, then the two pairs of alternate exterior angles are congruent. If two coplanar lines are cut by a transversal, so that a pair of alternate exterior angles are congruent, then the two lines are parallel. 156 If two parallel lines are cut by a transversal, then the two pairs of same-side (consecutive) interior angles are supplementary. 163 If two coplanar lines are cut by a transversal, so that a pair of same-side (consecutive) interior angles are supplementary, then the two lines are parallel.