Geometry
Help
Looking
for some Geometry Help? 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.
Geometry Topics
Introduction
Basic Geometry Terms (includes video)
Points, Lines, Line Segments, Midpoints, Rays, Planes, Space
Pairs of Lines (includes video)
Intersecting Lines, Parallel Lines, Perpendicular Lines, Skew Lines
Angles
Naming an Angle, Angles Around a Point (includes video)
Measuring Angles Using a Protractor (includes video)
Drawing Angles Using a
Protractor
(includes video)
Types of Angles (includes video)
Right Angles, Acute Angles, Obtuse Angles, Straight Angles
Pairs of Angles
Complementary Angles, (includes video)
Supplementary Angles, (includes video)
Vertical Angles, (includes video)
Corresponding Angles, (includes video)
Alternate Interior Angles, Alternate Exterior Angles (includes video)
"Find the angle"
problems
(includes video)
Triangles
Types of Triangles (includes video)
Right Triangles, Acute Triangles, Obtuse Ttriangles, (includes video)
Equilateral Triangles, Isosceles Triangles, Scalene Triangles (includes video)
Special Right Triangles (includes video)
3-4-5 Triangles, (includes video)
45¡-45¡-90¡ Triangles, (includes video)
30¡-60¡-90¡ Triangles (includes video)
Pythagorean Theorem (includes video)
Pythagorean Triples (includes video)
Pythagorean Theorem Word Problems (includes video)
Converse of the Pythagorean Theorem (includes video)
Congruent Triangles
SSS rule, SAS rule, ASA rule, AAS rule (includes video)
Hypotenuse Leg (HL) (includes video)
Similar Triangles
(includes video)
AA rule, RAR rule
Triangle Inequality (includes video)
Triangle Inequality Theorem, Angle-Side Relationship
Triangle Sum Theorem (includes video)
Exterior Angle Theorem (includes video)
Interior Angles of a Triangle (includes video)
Exterior Angles of a Triangle (includes video)
Angles of a Triangle (includes video)
Polygons
Quadrilaterals (includes video)
Parallelograms, Rhombus, Rectangles, Squares, Trapezoids
Types of Polygons (includes video)
Angles in Polygons (includes video)
Sum of Angles in a Triangle, Dividing Polygons into Triangles,
Formula for Sum of Interior and Exterior Angles
Area of Polygons
Areas of Polygons
Squares, Rectangles, (includes video)
Parallelograms, (includes video)
Triangle, (includes video)
Rhombus, (includes video)
Trapezoids (includes video)
Perimeter of Polygons
Perimeters of
Polygons
(includes video)
Squares, Rectangles, Parallelograms, Triangle, Rhombus, Trapezoids
Circles
Circles
Diameter, Radius, Arc, Tangent, (includes video)
Circumference of circle, (includes video)
Area of circle (includes video)
Length of arc in a circle, (includes video)
Area of sector, (includes video)
Tangent to a Circle (includes video)
Finding angles involving Tangents and Circles (includes video)
Degrees and Radians (includes video)
Circle Theorems
Chords of a Circle (includes video)
The Arrow Theorem (includes video)
The Bow Theorem (includes video)
"90 Degrees in
Semicircle" Theorem (includes video)
Alternate Segment Theorem (includes video)
Quadrilaterals in a Circle (includes video)
Angles in a Circle (includes video)
Angles and Intercepted Arcs (includes video)
Solid Geometry
Volume of Solids
Volume of Cubes (includes video)
Volume of Rectangular Prisms (includes video)
Volume of Prisms (includes video)
Volume of Cylinders (includes video)
Volume of Spheres (includes video)
Volume of Cones, (includes video)
Volume of Pyramids (includes video)
Surface Area of a Cube (includes video)
Surface Area of a Prism (includes video)
Surface Area of a Cylinder (includes video)
Surface Area of a Cone (includes video)
Surface Area of a Sphere (includes video)
Surface Area of a Pyramid (includes video)
Surface Area of Solids (includes video)
Geometry Nets (includes video)
Geometrical Formulas
Summary of shapes and formulas (includes video)
Area Formula of rectangle, parallelogram. rhombus,
triangle, regular polygon, trapezium, and circle
Surface Area Formula of sphere, closed cylinder, hollow
cylinder, cone and pyramid
Volume Formula of solid cylinder, hollow cylinder, prism,
cone, pyramid, and sphere
Coordinate
Geometry
and Graphs
Coordinate Geometry
Coordinate Plane, (includes video)
Slopes, y-intercept, Negative Slope, (includes video)
Equation of a Line, (includes video)
Graphing Linear Equations (includes video)
Slope and Intercept of a Linear Equation
(includes video)
Equation of a Line Parallel to the X-axis or Y-axis
(includes video)
Equation of a Line Given Its Slope and a Point on the
Line (includes video)
Equation of a Line Given Two Points on the Line
(includes video)
Slopes of Parallel Lines, Slopes of Perpendicular Lines, (includes video)
Midpoint Formula (includes video)
Distance Formula (includes video)
Graphing Inequalities (includes video)
Linear Programming (includes video)
Graphing Quadratic Functions (includes video)
Graphical Solutions of Quadratic Functions (includes video)
Graphing Cubic Functions (includes video)
Graphing Exponential Functions (includes video)
Sketching the Graphs of some Functions (includes video)
Geometric Construction
Geometric Construction
Construct and Copy Lines (includes video)
Construct a Perpendicular Bisector (includes video)
Construct a Perpendicular Line through a Point
(includes video)
Construct Parallel Lines (includes video)
Construct a 60¡ Angle by Constructing An Equilateral
Triangle (includes video)
Construct An Angle Bisector (includes video)
Construct A 30 Degree Angle (includes video)
Construct A 45 Degree Angle (includes video)
Construct A Triangle Given The Length Of Its Three Sides
(SSS) (includes video)
Construct A Triangle Given One Side And Two Angles (includes
video)
Construct A Triangle Given Two Sides And An Angle
Construct a Parallelogram and a Square
(includes video)
Contruct Various Angles & Shapes : 30¡, 45 ¡, 90¡,
120¡; hexagon, triangle (includes video)
Geometry Transformation
Geometry / Math Tranformation (includes video)
0.
Translation involves ÒslidingÓ the object from
one position to another.
0.
Reflection involves ÒflippingÓ the object over
a line called the line of reflection.
0.
Rotation involves ÒturningÓ the object about a
point called the center of rotation.
.
Dilation involves a resizing of the object. It
could result in an increase in size (enlargement) or a decrease in size
(reduction).