Unit 1 - Asbury Park School District
... understand that any point on a line of reflection is equidistant from any pair of pre-image and image points in a reflection construct a line parallel to a given line through a point not on that line using a rotation by 180° prove the alternate interior angles theorem using the parallel postulate an ...
... understand that any point on a line of reflection is equidistant from any pair of pre-image and image points in a reflection construct a line parallel to a given line through a point not on that line using a rotation by 180° prove the alternate interior angles theorem using the parallel postulate an ...
Lecture
... apply? We know how find the angle sum of a triangle. Can we divide the square into a set of triangles? Yes we can! The square can be divided into two triangles: This tells us the angle sum of a square is 2 * 180 or 360. Repeat this with 5, 6, 7, & 8 sided polygons. Build a table listing the number o ...
... apply? We know how find the angle sum of a triangle. Can we divide the square into a set of triangles? Yes we can! The square can be divided into two triangles: This tells us the angle sum of a square is 2 * 180 or 360. Repeat this with 5, 6, 7, & 8 sided polygons. Build a table listing the number o ...
QUADRILATERALS This handout concerns properties of
... useful for studying the parallel postulate. So we assume the axioms, definitions, and previously proved results of neutral geometry including the Saccheri-Legendre theorem. However, some of the definitions and results in this handout are so basic that they could have arisen in earlier geometries suc ...
... useful for studying the parallel postulate. So we assume the axioms, definitions, and previously proved results of neutral geometry including the Saccheri-Legendre theorem. However, some of the definitions and results in this handout are so basic that they could have arisen in earlier geometries suc ...
Exploration of Spherical Geometry
... 4. Polygons in Spherical Geometry. Polygons in spherical geometry are analogous to those in Euclidean geometry in that they are figures made of line segments; however, there are vast differences in the theorems about their congruence and their angle sums. In Euclidean geometry, a polygon must have a ...
... 4. Polygons in Spherical Geometry. Polygons in spherical geometry are analogous to those in Euclidean geometry in that they are figures made of line segments; however, there are vast differences in the theorems about their congruence and their angle sums. In Euclidean geometry, a polygon must have a ...
PARALLELOGRAMS AND RECTANGLES
... where another class of special quadrilaterals arises, namely the cyclic quadrilaterals, whose vertices lie on a circle. Special quadrilaterals and their properties are needed to establish the standard formulas for areas and volumes of figures. Later, these results will be important in developing int ...
... where another class of special quadrilaterals arises, namely the cyclic quadrilaterals, whose vertices lie on a circle. Special quadrilaterals and their properties are needed to establish the standard formulas for areas and volumes of figures. Later, these results will be important in developing int ...
