MATH 402 Worksheet 2
... (1) Prove the vertical angle theorem within Hilbert’s axiomatic system. Namely, let l, m be lines intersecting at P . Show that the vertical angles formed by l and m are equal to each other. (2) The following theorem is called the exterior angle theorem: Given a triangle 4ABC, extend one of its side ...
... (1) Prove the vertical angle theorem within Hilbert’s axiomatic system. Namely, let l, m be lines intersecting at P . Show that the vertical angles formed by l and m are equal to each other. (2) The following theorem is called the exterior angle theorem: Given a triangle 4ABC, extend one of its side ...
Lines and Angles
... intersected by a transversal. Answers may vary. Samples: The sides of window panes are parallel lines intersected by the transversal of the center strip. Train track ties are transversals intersecting the parallel rails. In a bridge framework, the crosspieces intersect parallel and non-parallel line ...
... intersected by a transversal. Answers may vary. Samples: The sides of window panes are parallel lines intersected by the transversal of the center strip. Train track ties are transversals intersecting the parallel rails. In a bridge framework, the crosspieces intersect parallel and non-parallel line ...
Day 1 Points Lines and Planes Continued
... Information About Angles An ___________________ is formed when two rays unite at their endpoints. The size of the angle is determined by the _______________________________________ between the two rays. ...
... Information About Angles An ___________________ is formed when two rays unite at their endpoints. The size of the angle is determined by the _______________________________________ between the two rays. ...
3.3 Prove Lines are Parallel
... alternating red and white stripes. Each stripe is parallel to the stripe immediately below it. Explain why the top stripe is parallel to the bottom stripe. ...
... alternating red and white stripes. Each stripe is parallel to the stripe immediately below it. Explain why the top stripe is parallel to the bottom stripe. ...
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.