Geom 3point1and2
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The document discusses relationships between lines and angles formed by transversals. It defines parallel lines as lines that do not intersect and are coplanar, and skew lines as lines that do not intersect and are not coplanar. A transversal is a line that intersects two or more coplanar lines. When a transversal crosses lines, it forms corresponding angles, alternate interior angles, alternate exterior angles, and consecutive interior angles that have specific relationships. Perpendicular lines intersect to form four right angles.
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This document provides information about parallel lines and transversals. It defines parallel lines and transversals, and describes the different types of angles formed when parallel lines are cut by a transversal, including corresponding angles, alternate interior angles, alternate exterior angles, same-side interior angles, same-side exterior angles, linear pairs, and vertical angles. It also provides examples of using these angle properties to solve for unknown angle measures.
lines and angles
This document discusses various geometry concepts related to angles and lines including:
- Types of angles such as acute, obtuse, straight, and reflex angles
- Relationships between pairs of angles such as complementary, supplementary, vertical, corresponding, alternate interior, and alternate exterior angles
- Properties of lines such as intersecting lines, parallel lines, and transversals
- Angle theorems about parallel lines cut by a transversal and the angle sums of triangles
Angles Formed by Parallel Lines Cut by a Transversal.pptx
When two parallel lines are cut by a transversal, several pairs of angles are formed with specific relationships. Corresponding angles are angles that have the same relative position on either side of the transversal. Alternate interior angles are interior angles on opposite sides of the transversal. Alternate exterior angles are exterior angles on opposite sides of the transversal. Consecutive interior angles are interior angles next to each other on one side of the transversal.
Lines and angles
This document defines and provides examples of various types of lines and angles in geometry. It begins with defining basic terms like points, lines, line segments, rays, intersecting and non-intersecting lines. It then defines different types of angles like acute, right, obtuse, straight, reflex, adjacent and vertically opposite angles. Finally, it discusses parallel lines and the angles formed when lines are cut by a transversal, including corresponding angles, alternate interior angles, and interior angles on the same side of the transversal.
Edsc 304 Teacher Lecture
This document provides a lesson on parallel lines cut by a transversal. It defines key terms like transversal, parallel lines, interior angles, and exterior angles. It then explains the angle relationships that occur when parallel lines are cut by a transversal, including:
- Alternate interior angles are congruent
- Alternate exterior angles are congruent
- Same-side interior angles are supplementary
- Same-side exterior angles are supplementary
The document includes examples and practice problems for students to apply these concepts.
Geometry toolbox advanced proofs (3)
The document provides definitions and properties related to geometry concepts like angles, triangles, quadrilaterals, and their various parts. It contains cards that can be clicked on to review postulates, definitions, algebraic properties, theorems about angles, triangles, quadrilaterals, and their angle and segment relationships. The purpose is to provide resources for justifying conclusions using the geometric rules and concepts learned.
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