Vocabulary List for Quiz Chapters 1 to 5 and 8
... Each point P in a given set is mapped to exactly one point P’ in the same or a different set. P’ is called the image of P. ...
... Each point P in a given set is mapped to exactly one point P’ in the same or a different set. P’ is called the image of P. ...
Summary Timeline - Purdue University
... lines make the interior angle on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than two right angles. (Euclid ca. 300BC) For every line l and for every point P that does not lie on l there exists a unique li ...
... lines make the interior angle on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than two right angles. (Euclid ca. 300BC) For every line l and for every point P that does not lie on l there exists a unique li ...
it here. - UGA Math Department
... This document is meant to address a couple problems that have strange setups. The techniques learned in the previous classes are useful here, but they don’t do everything. You should look at these problems as being the exception rather than the typical case, but they do have some handy lessons. WQ 7 ...
... This document is meant to address a couple problems that have strange setups. The techniques learned in the previous classes are useful here, but they don’t do everything. You should look at these problems as being the exception rather than the typical case, but they do have some handy lessons. WQ 7 ...
Using Angle Postulates
... An angle consists of two different rays that have the same initial point. The rays are the sides of the angle. The initial point is the vertex of the angle. ...
... An angle consists of two different rays that have the same initial point. The rays are the sides of the angle. The initial point is the vertex of the angle. ...
Sample Final
... (1) (10 pts) Show that two hyperbolic lines cannot have more than one common perpendicular. (2) (10 pts) Draw a cevian line for a triangle ABC (in hyperbolic geometry). Prove that the angle defect (π radians minus the sum of the angles in the triangle) is equal to the sum of the defects of the two s ...
... (1) (10 pts) Show that two hyperbolic lines cannot have more than one common perpendicular. (2) (10 pts) Draw a cevian line for a triangle ABC (in hyperbolic geometry). Prove that the angle defect (π radians minus the sum of the angles in the triangle) is equal to the sum of the defects of the two s ...
12. Parallels Given one rail of a railroad track, is there always a
... Euclid’s Fifth Postulate: In a transveral configuration, if the sum of the measure of the two interior angles on the same side of the transveral t is less than 180, then the lines ℓ and m will eventually intersect on this particular side of t. This axiom seems self evident. Suppose m∠2 + m∠6 < 180. ...
... Euclid’s Fifth Postulate: In a transveral configuration, if the sum of the measure of the two interior angles on the same side of the transveral t is less than 180, then the lines ℓ and m will eventually intersect on this particular side of t. This axiom seems self evident. Suppose m∠2 + m∠6 < 180. ...
Year 8 Autumn 1
... line. This should be revision and the main thrust of this topic should be regular polygons, and problems and proof involving interior/exterior angles. This will lay the ground work for the ‘proof’ topic in the summer term. Lesson Number Learning Outcomes Notes Timings and Title ...
... line. This should be revision and the main thrust of this topic should be regular polygons, and problems and proof involving interior/exterior angles. This will lay the ground work for the ‘proof’ topic in the summer term. Lesson Number Learning Outcomes Notes Timings and Title ...
