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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 Practice Questions

Free SAT Practice Questions (with Hints & Solutions) -
Geometry: Questions 1-5, Questions 6-10

Geometry Word Problems

Geometry Topics

Introduction

Basic Geometry Terms
    Points, Lines, Line Segments, Midpoints, Rays, Planes, Space


Pairs of Lines
    Intersecting Lines, Parallel Lines, Perpendicular Lines, Skew Lines

Angles

Angles
    Naming an Angle (includes video), Measuring an Angle, Angles Around a Point


Types of Angles
    Right Angles (includes video), 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

"Find the angle" problems (includes video)

 

 

Triangles

Types of Triangles
    Right Triangles, Acute Triangles, ObtuseTtriangles,
    Equilateral Triangles, Isosceles Triangles, Scalene Triangles


Special Right Triangles
    3-4-5 Triangles, (includes video)
    45°-45°-90° Triangles, (includes video)
    30°-60°-90° Triangles
(includes video)

Pythagorean Theorem (includes video)

Congruent Triangles
    SSS rule, SAS rule, ASA rule, AAS rule


Similar Triangles (includes video)
    AA rule, RAR rule


Triangle Inequality
    Triangle Inequality Theorem, Angle-Side Relationship

Angles of a Triangle

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


Areas of Polygons
    Squares, Rectangles, (includes video)
    Parallelograms, (includes video)
    Triangle, (includes video)
    Rhombus, (includes video)
    Trapezoids (includes video)


Perimeters of Polygons
    Squares, Rectangles, Parallelograms, Triangle, Rhombus, Trapezoids

 

 

Circles

Circles
    Diameter, Radius, Arc, Tangent,
    Circumference, (includes video)
    Area
(includes video)

Circle Theorems
Chords of a Circle
Angles in a Circle
Quadrilaterals in a Circle

Solid Geometry

Volume of Solids
    Cubes, Rectangular Solids,
    Prisms, Cylinders,
    Spheres, Cones,
    Pyramids, Nets of Solids

    Surface Area of Solids (includes video)

Summary of shapes and formulas (includes video)

 

 

Coordinate Geometry

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)

Geometric Construction

Geometric Construction

Construct a Perpendicular Bisector (includes video)
Construct a 60° Angle by Constructing An Equilateral Triangle (includes video)
Construct An Angle Bisector (includes video)
Construct A Triangle Given The Length Of Its Three Sides
Construct A Triangle Given One Side And Two Angles
Construct A Triangle Given Two Sides And An Angle

 

 

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