Geometry Chapter 3 Ch 3 1 Identify Pairs

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Geometry: Chapter 3 Ch. 3. 1: Identify Pairs of Lines and Angles

Geometry: Chapter 3 Ch. 3. 1: Identify Pairs of Lines and Angles

Two lines that do not intersect are either parallel lines or skew lines. Two

Two lines that do not intersect are either parallel lines or skew lines. Two lines are parallel lines if they do not intersect and are coplanar. Two lines are skew lines if they do not intersect and are not coplanar. Two planes that do not intersect are parallel planes.

Image taken from: Geometry. Mc. Dougal Littell: Boston, 2007. P. 147.

Image taken from: Geometry. Mc. Dougal Littell: Boston, 2007. P. 147.

Parallel and Perpendicular Lines. Two lines in the same plane are either parallel or

Parallel and Perpendicular Lines. Two lines in the same plane are either parallel or intersect in a point. Through a point not on a line, there are infinitely many lines. Exactly one of these lines is parallel to the given line, and exactly one of them is perpendicular to the given line.

Postulate 13: Parallel Postulate If there is a line and a point not on

Postulate 13: Parallel Postulate If there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line. There is exactly one line through P parallel to l. Image taken from: Geometry. Mc. Dougal Littell: Boston, 2007. P. 147.

Postulate 14: Perpendicular Postulate If there is a line and a point not on

Postulate 14: Perpendicular Postulate If there is a line and a point not on the line, then there is exactly one line through the point perpendicular to the given line. There is exactly one line through P perpendicular to l. Image taken from: Geometry. Mc. Dougal Littell: Boston, 2007. P. 147.

Ex. 2. The figure shows a swing set on a playground. a. Name a

Ex. 2. The figure shows a swing set on a playground. a. Name a pair of perpendicular lines b. Name a pair of parallel lines. c. Is line DH perpendicular to line LM? Explain. Image taken from: Geometry. Mc. Dougal Littell: Boston, 2007. P. 148.

ANGLES AND TRANSVERSALS: A transversal is a line that intersects two or more coplanar

ANGLES AND TRANSVERSALS: A transversal is a line that intersects two or more coplanar lines at different points.

KEY CONCEPTS: Angles Formed from TRANSVERSALS Two angles are called corresponding angles if they

KEY CONCEPTS: Angles Formed from TRANSVERSALS Two angles are called corresponding angles if they have corresponding positions. For example, 2 and 6 are above the lines and to the right of the transversal t. Image taken from: Geometry. Mc. Dougal Littell: Boston, 2007. P. 149.

Angles Formed from TRANSVERSALS Two angles are called alternate interior angles if they lie

Angles Formed from TRANSVERSALS Two angles are called alternate interior angles if they lie between the two lines and on opposite sides of the transversal t. Image taken from: Geometry. Mc. Dougal Littell: Boston, 2007. P. 149.

Angles Formed from TRANSVERSALS Two angles are called alternate exterior angles if they lie

Angles Formed from TRANSVERSALS Two angles are called alternate exterior angles if they lie outside the two lines and on opposite sides of the transversal. Image taken from: Geometry. Mc. Dougal Littell: Boston, 2007. P. 149.

Angles Formed from TRANSVERSALS Two angles are called consecutive interior angles if they lie

Angles Formed from TRANSVERSALS Two angles are called consecutive interior angles if they lie between the two lines and on the same side of the transversal. Image taken from: Geometry. Mc. Dougal Littell: Boston, 2007. P. 149.

Ex. 3. Identify all pairs of angles of the given type. a. Corresponding b.

Ex. 3. Identify all pairs of angles of the given type. a. Corresponding b. Alternate interior c. Alternate exterior d. Consecutive interior Image taken from: Geometry. Mc. Dougal Littell: Boston, 2007. P. 149.

Go to: http: //www. classzone. com/cz/books/geometry_200 7_na/get_chapter_group. htm? cin=3&rg=help_with _the_math&at=powerpoint_presentations&var=po werpoint_presentations Ch. 3, Lesson

Go to: http: //www. classzone. com/cz/books/geometry_200 7_na/get_chapter_group. htm? cin=3&rg=help_with _the_math&at=powerpoint_presentations&var=po werpoint_presentations Ch. 3, Lesson 1, Ex. 3 for extra practice

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