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Our materials here review the basic terms and concepts in geometry and provide further lessons to help you develop your understanding of geometry and its applications to solving problems in real life. Geometry is about the shape and size of things.
It is the study of points, lines, angles, shapes, their relationships, and their properties. Angles How to Name an Angle. Angles Around a Point. Measuring Angles How to use a protractor to measure an angle. Drawing Angles How to use a protractor to draw different types of angles. Right, Acute, Obtuse Triangles. Equilateral, Isosceles, Scalene Triangles. Area of Triangles Use of the different formulas to calculate the area of triangles, given base and height, given three sides, given side angle side, given equilateral triangle, given triangle drawn on a grid, given three vertices on coordinate plane, given three vertices in 3D space.
Proof of the Converse of the Pythagorean Theorem. How to use the Theorem to solve geometry problems involving triangles.
Exterior Angles of a Triangle Find unknown exterior angles, Proof the sum of exterior angles. Angles of a Triangle Summary of the properties of angles in a triangle.
Polygons Types of Polygons: Area of Parallelograms Formula for the area of a parallelogram, Derive the formula for the area of a parallelogram, Word problems using parallelograms.
Area of Rhombus Use of the different formulas to calculate the area of rhombus, given base and height, given lengths of diagonals, given side and angle. Area of Trapezoids Area of trapezoids, Derive area formula of trapezoids, Solve problems using area of trapezoids.
Area of Shaded Region How to calculate the area of shaded regions involving polygons and circles. Circles Diameter, chord, radius, arc, semicircle, minor arc, major arc, tangent, secant, circumference, area, sector. Circumference of circle Find pi, Formula for circumference of circle, Find circumference, Find radius, diameter and area when given circumference.
Area of circle Formula for area of circle, Find area, Find radius, diameter and circumference when given area. Area of Sector Area of a sector formula in degrees and radians, area of segment. Degrees and Radians Measure angles in degrees, minutes and seconds, Convert to decimal notation, Add and subtract angles, Measure angles in radians, Convert between degrees and radians.
Arc Length of Circle in Radians Formula for arc length when arc measure is in radians, Solving problems using arc length formula. Chords of a Circle Perpendicular bisector of a chord passes through the center of a circle, Congruent chords are equidistant from the center of a circle, If two chords in a circle are congruent, then their intercepted arcs are congruent, If two chords in a circle are congruent, then they determine two central angles that are congruent.
Angles and Intercepted Arcs Formulas relating the angles and the intercepted arcs of circles. Measure of a central angle. Measure of an inscribed angle angle with its vertex on the circle Measure of an angle with vertex inside a circle.
Measure of an angle with vertex outside a circle. The Bow Theorem Inscibed angles subtended by the same arc or chord are equal. Alternate Segment Theorem An angle between a tangent and a chord through the point of contact is equal to the angle in the alternate segment.
Quadrilaterals in a Circle Cyclic Quadrilateral, the opposite angles of a cyclic quadrilateral are supplementary, the exterior angle of a cyclic quadrilateral is equal to the interior opposite angle.
Angles in a Circle A review and summary of the properties of angles that can be formed in a circle and their theorems. Volume and Surface Area of Solids Volume and surface area of cubes, cuboids, prisms, cylinders, spheres, cones, pyramids. Volume of Cubes What is volume, how to find the volume of a cube, how to solve word problems about cubes, nets of a cube.
Volume of Rectangular Prisms How to find the volume of a rectangular prism, how to solve word problems about rectangular prisms. Volume of Prisms What is a prism, how to find the volume of prisms, how to solve word problems about prisms. Volume of Cylinders How to find the volume of cylinders, how to find the volume of hollow cylinders or tubes, how to solve problems about cylinders.
Volume of Spheres How to find the volume of a sphere, how to find the volume of a hemisphere, how to prove the formula for the volume of a sphere. Connect with algebra tutors and math tutors nearby. Prefer to meet online? Find online algebra tutors or online math tutors in a couple of clicks.
Simplifying Use this calculator if you only want to simplify, not solve an equation. Expression Factoring Factors expressions using 3 methods. Factoring and Prime Factoring Calculator. Consecutive Integer Word Problems. Simplifying and Solving Equations with Multiple Signs.
Negative Exponents of Numbers. Negative Exponents of Variables. Negative Exponents in Fractions. Factoring a Difference Between Two Squares. Solve Using the Quadratic Formula. Reading the Coordinates of Points on a Graph. Determining the Slope of a Line. Determining x and y Intercepts of a Line. Algebra Help This section is a collection of lessons, calculators, and worksheets created to assist students and teachers of algebra.
Lessons Explore one of our dozens of lessons on key algebra topics like Equations , Simplifying and Factoring. Calculators Having trouble solving a specific equation? Worksheets Need to practice a new type of problem?
Simplifying Using the Distributive Property. Simplifying Exponents of Numbers. Simplifying Exponents of Variables. Simplifying Exponents of Polynomials Parentheses. Simplifying Negative Exponents of Variables.
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Free math lessons and math homework help from basic math to algebra, geometry and beyond. Students, teachers, parents, and everyone can find solutions to their math problems instantly. Learn high school geometry for free—transformations, congruence, similarity, trigonometry, analytic geometry, and more. Full curriculum of exercises and videos.
Geometry Help - Definitions, lessons, examples, practice questions and other resources in geometry for learning and teaching geometry. Examples with step by step solutions, Angles, triangles, polygons, circles, circle theorems, solid geometry, geometric formulas, coordinate geometry and graphs, geometric constructions, geometric transformations, . WebMath is designed to help you solve your math problems. Composed of forms to fill-in and then returns analysis of a problem and, when possible, provides a step-by-step solution. Covers arithmetic, algebra, geometry, calculus and statistics.