Geometry Basics and Shapes notes
97 notes by 89 users · Page 1 of 3
This Geometry Basics and Shapes page gathers user-made notes on angles, circles, quadrilaterals and Pythagoras. It is for school students revising these topics and teachers looking for material, with some notes for primary pupils. There are over 80 notes, mostly at secondary level. Choose a topic and start reading.
Notes
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Geometry Theorems Exterior Angles of a TriangleThe exterior angle has two interesting properties that follow from one another. 1) The exterior angle at a given vertex is equal in measure to the sum of the two remote interior angles. Th...
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maths notes Angle RelationshipsNaming and measuring angles, types of angles, vertically opposite angles, complementary and supplementary angles, angles and parallel lines. Solving geometrical problems using reasoning.Revolution -...
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Geometry Regents - Theorem Review Notes Theorem #1: If 2 angles form a linear pair, then they are supplementary. Unit 1 Theorem #2: If 2 angles are complementary to the same angle, they their measures are equal.
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Chapter 8: Pythagoras' Theorem Chapter 8: Pythagoras' Theorem Mathematicians Employ A Method Called The Pythagoras' Theorem To Calculate The Distance/Length Of The Third Side Of A Right-Angled Triangle If Two Of Its Sides, Which Are Perpendicular T...
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Regents Geometry Geometry Notes Distance formula: Midpoint:
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Trigonometry and Geometry Parrellel lines, Triangles, Polygons, Pythagoras Similar figures/Triangles, Volume TSA, Similar Shapes
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Circle
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Pythagoras Theorem Pythagoras Theorem Formula: c2 = a2 + b2
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Names of Angles
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Circle Thereom Rules
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shape and space 1 Angles Bookmark this page Related Angles Lines AB and CD are parallel to one another (hence the » on the lines). a and d are vertically opposite angles. Vertically opposite angles are equal. (b and c, e and h, f and g...
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Geometry Theorems_1 Exterior Angles of a TriangleThe exterior angle has two interesting properties that follow from one another. 1) The exterior angle at a given vertex is equal in measure to the sum of the two remote interior angles. Th...
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Geometry Theorems Exterior Angles of a TriangleThe exterior angle has two interesting properties that follow from one another. 1) The exterior angle at a given vertex is equal in measure to the sum of the two remote interior angles. Th...
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Maths Notes To Help You!!! Might Be Helpful You Guys!!! Angle Relationships Naming and measuring angles, types of angles, vertically opposite angles, complementary and supplementary angles, angles and parallel lines. Solving geometrical problems using reasoni...
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Midterms Study Tool Chapter 1: Basics of Geometry We learned how to... Find and describe patterns. Use inductive reasoning. Use defined and undefined terms. Sketch intersections of lines and planes. Use segment postulates and the Distanc...
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Geometry/Trig Notes *Geometric Means Formulas:h= √xy (h is the altitude of the triangle)b= √xc ('x' is the side ADJACENT to b-usually underneath it. 'c' is the total of x+y)a= √yc (see above- it's the same principle for both a &b)*Pythag...
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Pythagorean Theorem The Pythagorean Theorem shows how the side lengths of a right triangle are related NOTE: The Pythagorean Theorem works ONLY on RIGHT TRIANGLES.If used on something other than a right triangle, it will n...
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Area of Triangles There are 3 common formulae for finding the area of a given triangle. 1. 1/2 x b x h There are 3 common formulae for the area of a triangle.
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Polygons The sum of the interior angles in a regular polygon are always: (n - 2) × 180° where n is the number of sides of the polygon For example:
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Quadrilaterals
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Geometry 395-397 Measurement and Geometry connection · Closely interconnected in every day life · Finding area of hexagon/triangles (without formula) · Moving an item of furniture (size, weight etc) · How much paint to cover r...
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Volume and Surface Area http://www.mymaths.co.uk/tasks/library/loadLesson.asp?title=areas/nets&taskID=1107Nets and Surface Area - Lessonhttp://www.mymaths.co.uk/tasks/library/loadTask.asp?title=areas/netsOH&taskID=1107Nets and Surface Area -...
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Math Chapter One Notes Concepts and Procedures Should Be Able To... 1.1: Define all listed Vocabulary Recognize in context1.2: Measure segments and angles Classify angles and name the parts of a degree Recognize congruent angles and segment...
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Shapes and 3D objects Views of a 3D object Nets of 3D object Surface area of a prism
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Similar Triangles There are 3 criteria for similar triangles: 3. The three angles of the first triangle are equal to the three angles of the second triangle. 1. The three sides are in the same proportion.
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Pythagorean Theorem Formula:A2 + B2 =C2 ~C is the longest side ~A and B are the other two sides A2 + B2 = C242 = 16 ~ 122 = 14416 + 144 = √160 = 12.6 =
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term 3 topic test Similar Figures revision The Tranfiguration Transformation side OA times 3 gives 9 spaces, corresponding ray gives enlarged shape c) * points are between PR are seen passing through ii) PS PS', PR PR', PQ PQ'
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Volume and Surface Area of Cylinders Volume of Cylinder...
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loci - created from Mind Map equidistant from two points a ship sails along equidistant from two lighthouses a and b what is the locus of the ship? a straight line! this line is at right angles to the line ab it is called the perpendicular bisect...
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Pythagoras Theorem- Example How Do I Use it? Write it down as an equation: a2 + b2 = c2 Now you can use algebra to find any missing value, as in the following examples: Example: Solve this triangle. a2 + b2 = c2 52 + 122 = c2 25 + 14...
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Math find missing angles 1. 102 + 40 = 142, 180 - 142 = 38 2. 90 + 19 = 109 = 71, 180 - 109 = 71 3. 65 + 15 + 20 = 95, 180 - 90 = 80 4. 43 + 75 = 118, 180 - 118 = 62 5. 180 - 70 = 110, 110 divided by 2 = 55 6. 180 divided by 3...
More Geometry Basics and Shapes resources
About geometry basics and shapes notes
GoConqr OriginalExplore geometry basics and shapes notes
These notes cover angle relationships, triangle theorems, polygons and measurement. Geometry Theorems discusses exterior angles of a triangle, while Circle brings together formulae for circumference, area, sectors and arcs. Quadrilaterals covers shapes including squares, rectangles and parallelograms.
Choose notes for your topic
For an overview of shapes, start with Regents Geometry, which lists polygons alongside distance and midpoint formulae. If you are revising angles, the notes on angle relationships cover naming and measuring angles as well as complementary and supplementary angles.
Read a section, then write down the rules or formulae you want to remember. Return to the notes to check them. If you want to test your recall, switch to a quiz on the unit page; a mind map can help you organise related ideas. Pick a set of notes to begin your revision.
Frequently asked questions
Which notes are a good place to start?
For a broad introduction to shapes, try “Regents Geometry”. It lists polygons and includes distance and midpoint formulae. If you have a particular topic in mind, “Quadrilaterals” focuses on shapes such as squares and rectangles, while “Circle” brings together formulae for circles, sectors and arcs.
Are these notes free to use?
Yes. Every resource listed here is free to open and study without an account. The notes were made by GoConqr users, rather than by GoConqr. A free account also lets you save quiz scores and make your own notes, quizzes, mind maps and flashcards.
Which levels do these notes suit?
Most of the notes are at secondary level, with some for primary pupils. School students can use them to revisit topics such as angles and shapes, and teachers can look for material on those topics. “Geometry Regents - Theorem Review Notes” is one option for students reviewing those theorems.