2015-2016 Geometry 2nd Quarter Mathematics Scope and Sequence
... Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions. G-CO.C.9 Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angl ...
... Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions. G-CO.C.9 Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angl ...
Visual Fractions (TI-Nspire) file to accompany this article (0.34Mb )
... two angles. These angles are equal to u and v [using the ‘alternate angles’ or ‘Z-angles’ property of parallel lines and a transversal]. Thus u + v = 90˚, or v = 90˚ – u. So v = 70˚ when u = 20˚. Page 2 ...
... two angles. These angles are equal to u and v [using the ‘alternate angles’ or ‘Z-angles’ property of parallel lines and a transversal]. Thus u + v = 90˚, or v = 90˚ – u. So v = 70˚ when u = 20˚. Page 2 ...
Parallel lines and Transversals.ppt
... You will learn to describe relationships among lines, parts of lines, and planes. In geometry, two lines in a plane that are always the same parallel lines distance apart are ____________. ...
... You will learn to describe relationships among lines, parts of lines, and planes. In geometry, two lines in a plane that are always the same parallel lines distance apart are ____________. ...
Lesson 11: Unknown Angle Proofs—Proofs of Known
... Once a theorem has been proved, it can be added to our list of known facts and used in proofs of other theorems. For example, in Lesson 9 we proved that vertical angles are of equal measure, and we know (from earlier grades and by paper cutting and folding) that if a transversal intersects two paral ...
... Once a theorem has been proved, it can be added to our list of known facts and used in proofs of other theorems. For example, in Lesson 9 we proved that vertical angles are of equal measure, and we know (from earlier grades and by paper cutting and folding) that if a transversal intersects two paral ...
Perspective (graphical)
Perspective (from Latin: perspicere to see through) in the graphic arts is an approximate representation, on a flat surface (such as paper), of an image as it is seen by the eye. The two most characteristic features of perspective are that objects are smaller as their distance from the observer increases; and that they are subject to foreshortening, meaning that an object's dimensions along the line of sight are shorter than its dimensions across the line of sight.Italian Renaissance painters including Paolo Uccello, Piero della Francesca and Luca Pacoima studied linear perspective, wrote treatises on it, and incorporated it into their artworks, thus contributing to the mathematics of art.