Geometry 1
This document was uploaded by user and they confirmed that they have the permission to share it. If you are author or own the copyright of this book, please report to us by using this DMCA report form. Report DMCA
Overview
Download & View Geometry 1 as PDF for free.
More details
- Words: 434
- Pages: 20
GOVT.GIRLS M/P SR.SEC. SCHOOL, MODEL TOWN, PATIALA. SUBMITTED BY: MRS.SUKHWINDER KAUR MATH MISTRESS
Geometry • INTRODUCTION:Geometry, branch of mathematics that deals with shapes and sizes. Basic geometry allows us to determine properties such as the areas and perimeters of twodimensional shapes and the surface areas and volumes of threedimensional shapes.
Undefined terms • Undefined terms Some concepts central to geometry are not defined in terms of simpler concepts. The most familiar of these undefined terms are point, line,
and plane.
Defined Terms • Defined terms can be combined with each other and with undefined terms to define more terms. An angle, for example, is a combination of two different rays or line segments that share a single end point.
Two-Dimensional Figures • Two- Dimensional Figures: commonly encountered in twodimensional geometry include circles, polygons, triangles, and quadrilaterals. Triangles are actually three-sided polygons; quadrilaterals are polygons with four sides.`
Circles • A circle is a plane curve where all points are equidistant from a point in the plane called the center. The area of a circle may also be written A =Пr2 , where r is the radius
Polygons • Any plane figure bounded by straight lines is a polygon. If all of a polygon’s sides are of equal length and the angles are also equal, the figure is a regular polygon
Polygons
Triangles • A triangle is a plane figure bounded by three straight lines
Quadrilateral • A quadrilateral is a plane figure bounded by four straight lines . Note: This was all about 2-dimensional figures.Now we will proceed with 3-d figures.
Three-Dimensional Figures • Figures commonly encountered in three-dimensional geometry include spheres, polyhedrons, prisms, pyramids, cylinders, and cones. Cylinders are actually special cases of prisms; cones are special cases of pyramids.
Spheres • A sphere is a surface where all points are equidistant from one point, called the center • The surface area of a sphere is given by A =4Пr2.
Polyhedrons • A polyhedron is a figure bounded by plane surfaces. If the faces of the polyhedron are all congruent regular polygons, the polyhedron is said to be regular.
Prisms • A prism is a polyhedron that has parallel and congruent polygons, called bases, for two faces and parallelograms for all other faces
Pyramids • A pyramid is a polyhedron that has a polygon as its base and sides that consist of triangles having a common vertex, called the apex
Cylinders and Cones • A cylinder is a prism with circular bases. The formula for the volume of a cylinder is therefore the same as for a prism: A = bh
WITH THANKS
Geometry • INTRODUCTION:Geometry, branch of mathematics that deals with shapes and sizes. Basic geometry allows us to determine properties such as the areas and perimeters of twodimensional shapes and the surface areas and volumes of threedimensional shapes.
Undefined terms • Undefined terms Some concepts central to geometry are not defined in terms of simpler concepts. The most familiar of these undefined terms are point, line,
and plane.
Defined Terms • Defined terms can be combined with each other and with undefined terms to define more terms. An angle, for example, is a combination of two different rays or line segments that share a single end point.
Two-Dimensional Figures • Two- Dimensional Figures: commonly encountered in twodimensional geometry include circles, polygons, triangles, and quadrilaterals. Triangles are actually three-sided polygons; quadrilaterals are polygons with four sides.`
Circles • A circle is a plane curve where all points are equidistant from a point in the plane called the center. The area of a circle may also be written A =Пr2 , where r is the radius
Polygons • Any plane figure bounded by straight lines is a polygon. If all of a polygon’s sides are of equal length and the angles are also equal, the figure is a regular polygon
Polygons
Triangles • A triangle is a plane figure bounded by three straight lines
Quadrilateral • A quadrilateral is a plane figure bounded by four straight lines . Note: This was all about 2-dimensional figures.Now we will proceed with 3-d figures.
Three-Dimensional Figures • Figures commonly encountered in three-dimensional geometry include spheres, polyhedrons, prisms, pyramids, cylinders, and cones. Cylinders are actually special cases of prisms; cones are special cases of pyramids.
Spheres • A sphere is a surface where all points are equidistant from one point, called the center • The surface area of a sphere is given by A =4Пr2.
Polyhedrons • A polyhedron is a figure bounded by plane surfaces. If the faces of the polyhedron are all congruent regular polygons, the polyhedron is said to be regular.
Prisms • A prism is a polyhedron that has parallel and congruent polygons, called bases, for two faces and parallelograms for all other faces
Pyramids • A pyramid is a polyhedron that has a polygon as its base and sides that consist of triangles having a common vertex, called the apex
Cylinders and Cones • A cylinder is a prism with circular bases. The formula for the volume of a cylinder is therefore the same as for a prism: A = bh
WITH THANKS
Related Documents
Geometry 1
November 2019 11
Geometry 1
December 2019 13
Geometry
October 2019 34
Geometry
July 2020 23
Geometry
June 2020 27