2020. 2. 26. 10:28ㆍ카테고리 없음
Free Geometry Tutorials, Problems and Interactive AppletsFree geometry on topics such as reflection, perpendicular bisector, central and inscribed angles, circumcircles, sine law and triangle properties to solve triangle problems. Also geometry with detailed solutions on triangles, polygons, parallelograms, trapezoids, pyramids and cones are included. Equations, conversion and graphing are also included. More geometry problems are also included.Geometry Problems.
Rectangle problems on area, dimensions, perimeter and diagonal with detailed solutions. Square problems on area, diagonal and perimeter, with detailed solutions. Problems related to regular polygons. Problems related to parallel lines and alternate and corresponding angles. Find overlapping area of two circles: problem with detailed solutions. Problems, with detailed solutions, related to sectors and circle. The cosine law is used to solve word problems.
The sine law is used to solve word problems. Triangle problems with detailed solutions.
3D shapes, such as prisms, volume problems with detailed solutions. Find the length of one side, the perimeter and area of a regular octagon given the distance between two opposite sides (span). A problem, with detailed solution, on a circle inscribed in one square and circumscribed to another, is presented.
A problem, with detailed solution, on a square inscribed in one circle and circumscribed to another is presented. Inscribed right triangle problem with detailed solution. Definition and theorems on similar triangles including examples and problems with detailed solutions. Solve a right triangle whose sides are all tangent to a circle. Both the problem and its detailed solution are presented.
A problem to compare the volumes of a cone, a cylinder and a hemisphere. If you cut off the top part of a cone with a plane perpendicular to the height of the cone, you obtain a conical frustum. How to construct a frustum given the radius of the base, the radius of the top and the height?
Word problems related to parallelograms are presented along with detailed solutions. Problems related to the surface area and volume of a cone with detailed solutions are presented. Pyramid problems related to surface area and volume with detailed solutions. Trapezoid problems are presented along with detailed solutions. Rhombus definition and properties are presented along with problems with detailed solutions. You are given the perimeter of a small circle to find the radius of a larger circle inscribed within a square.
A problem on finding the sine of the angle of a kite within a square. A problem, on a triangle tangent at two points to a circle, is presented along with detailed solution. A problem, on three tangent circles, is presented along with solution.
A problem on the proof of an equilateral triangle within a square is presented along with detailed solution. Find the side of a square inscribed in a right triangle given the sides of the triangle. Definitions and properties of triangles in geometry.
Definitions and theorems related to inscribed and central angles in circles are discussed using examples and problems. Use different formulas of the area of a triangle to calculate the areas of triangles and shapes. This tutorial is about the corresponding, interior and exterior angles formed when a tranversal line intersects two parallel lines. An applet is used to explore,interactively, the properties of triangles.
An applet is used to verify Thales' theorem: An angle inscribed in a semicircle is a right angle. Tutorial to develop useful formulas for area of regular polygons. An interactive tutorial to explore rotation symmetry of regular polygons and derive a formula for the angle of rotation.
An interactive tutorial to explore rotation symmetry of geometric shapes. Definitions and properties of angles in geometry. The ambiguous case of the sine law, in solving triangle problems, is explored interactively using an applet. The properties of central and inscribed angles intercepting a common arc in a circle are explored using an interactive geometry applet. The definition and properties of the perpendicular bisector are explored using a geometry applet.
The properties of perpendicular bisectors in triangles and circumcircles are explored interactively using a geometry Java applet. A table of formulas for geometry, related to area and perimeter of triangles, rectangles, circles, sectors, and volume of sphere, cone, cylinder are presented.Polar Coordinates. An interactive tutorial on how to plot points given by their polar coordinates.
This is tutorial on graphing polar equations by hand, or sketching, to help you gain deep understanding of these equations. Several examples with detailed solutions are presented. Problems, with detailed solutions, where polar coordinates are converted into rectangular coordinates and vice versa are presented. Problems were equations in rectangular form are converted to polar form, using the relationship between polar and rectangular coordinates, are presented along with detailed solutions.
Plane Analytic Geometry Problems With Solutions Pdf
Equations in polar form are converted into rectangular form, using the relationship between polar and rectangular coordinates. Problems with detailed solutions are presented.Geometric Transformations. The properties of reflection of shapes across a line are explored using a geometry applet. The rotations of 2-D shapes are explored.Geometric Calculators and Worksheets:Several calculators to help in the calculations and solutions of geometry problems.