PDF ebook by math teacher Jetser Carasco
Geometry Formulas eBook: An Illustrated Reference
Every formula you need for middle school and high school geometry, each with a clear labelled picture, worked examples that show every step, and practice with answers.
- Angles, triangles, area, circles, volume and surface area
- Coordinate geometry, transformations and trigonometry
- 99 worked examples and a quick-reference section of every formula
$21.99 one-time payment
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Is This Geometry eBook Right for You?
Geometry has a lot of formulas, and they are easy to mix up. This book puts every one of them in one place, with a picture that shows what each letter means.
This book is for you if
- You are taking geometry in middle school or high school and want every formula in one place.
- You know a formula exists, but you forget it or are not sure what each letter stands for.
- You are reviewing for a test or exam and want worked examples and practice with answers.
- You are a parent or tutor who wants a clear reference to help a student.
- You are an adult returning to math and need a refresher on geometry.
It is probably not for you if
- You need to learn how to write geometry proofs. This book is about formulas and calculations.
- You want a full geometry course that starts from the very beginning.
- You want a printed book. This is a PDF you download.
How the Geometry Formulas Book Works
Each chapter starts with formula cards: a labelled picture on the left and the formulas on the right. Worked examples come next, then a short set of practice problems.
Triangle
Area
A = b × h2
b is the base and h is the height.
Circle
Circumference
C = 2 × π × r
Area
A = π × r2
r is the radius. Use π ≈ 3.14.
Cylinder
Volume
V = π × r2 × h
The base is a circle with area π × r2, and h is the height.
- Circumference: C = 2 × 3.14 × 10 = 62.8
- Area: A = 3.14 × 102 = 3.14 × 100 = 314
Answer: 62.8 ft and 314 ft2
Find the area of a circle with radius 3 in. Use π ≈ 3.14.
Show answer
28.26 in2. A = 3.14 × 32 = 3.14 × 9 = 28.26. Area is measured in square units.
A picture for every formula
Every formula card has a labelled picture, so you can see what each letter stands for before you use the formula.
Every step shown
99 worked examples show each step, with a short note beside each line that says what was done, such as "divide by 3" or "angle sum."
Boxes that guide you
Key idea, Tip and Common mistake boxes point out what matters most. "Why does this work?" boxes show the reasoning behind a formula, so you can rebuild it if you forget it.
Practice and quick reference
Each chapter ends with practice problems, 76 in all, with answers at the back. A quick-reference section collects every formula in a few pages.
What's Inside the Geometry Formulas eBook
Nine chapters cover middle school and high school geometry, followed by a quick reference and the answers.
Chapter 1
Angles
- Complementary, supplementary and vertical angles
- Parallel lines and a transversal
- Angles in triangles and polygons
Chapter 2
Triangles and right triangles
- Triangle basics and the triangle inequality
- The Pythagorean theorem and special right triangles
- The altitude to the hypotenuse and similar triangles
Chapter 3
Perimeter and area
- Rectangles, squares, parallelograms and triangles, including Heron's formula
- Trapezoids, rhombuses and kites
- Regular polygons
Chapter 4
Circles
- Circumference, area, arcs, sectors and segments
- Central, inscribed and tangent angles
- Lengths of chords, secants and tangents
Chapter 5
Volume
- Cubes, boxes, prisms and cylinders
- Pyramids, cones, spheres and hemispheres
Chapter 6
Surface area
- Prisms and cylinders
- Pyramids, cones and spheres
Chapter 7
Coordinate geometry
- Slope, distance and midpoint
- Equations of lines
- Equation of a circle
Chapter 8
Transformations
- Translations, reflections and rotations
- Dilations and how they change lengths and areas
Chapter 9
Trigonometry
- Sine, cosine and tangent, and angles of elevation and depression
- The law of sines and the law of cosines
Plus
Quick reference and answers
- Every formula in the book, collected in a few pages
- Answers to all the practice problems
What you get
- PDF ebook (about 2.4 MB) that opens on a phone, tablet or computer
- Instant download right after payment
- Formula cards with a labelled picture for every formula
- 99 worked examples that show every step
- 76 practice problems, with all answers at the back
- A quick-reference section of every formula, ideal for review
$21.99
Get Instant AccessAbout the Author
What students, parents and coworkers say about my teaching
I am no longer afraid of math.
This was really helpful! I now know how to solve similar problems that will be on the upcoming midterm. Thanks!
You are doing a great job with my daughter.
You are a great teacher. The students are lucky to have you.
Jetser, thank you so much for your help. You do a good job of explaining this.
I appreciate how thorough you are. Thank you!
These comments are about my teaching in class and online. They are not reviews of the ebook.
Frequently Asked Questions
What level is this book?
It covers the geometry taught in middle school and high school, from angles and area to coordinate geometry, transformations and trigonometry. It also suits adults who need a refresher, and parents and tutors who help students.
How do I get the ebook after I pay?
You pay on a secure checkout page. Right after your payment goes through, you get your download link, and the PDF downloads in seconds.
What do I need to read it?
Any device that opens PDF files. Phones, tablets and computers can all open it in the browser or a free PDF reader.
Is there practice with answers?
Yes. Each chapter ends with practice problems, 76 in all, and the answers are at the back of the book. The 99 worked examples show every step.
Which value of π does the book use?
The examples use π ≈ 3.14 unless they say otherwise, so you can follow every step with a basic calculator.
Does it teach geometry proofs?
No. This book is a reference for formulas and how to use them in calculations. It does not cover two-column proofs.
Can I give it as a gift?
Yes. It is a great gift for a student taking geometry. Buy it, then send them the PDF.
Which payment methods can I use?
You can pay with a credit or debit card: Visa, Mastercard, American Express or Discover.
I have a question that is not answered here.
Send me a message with the contact form on my about me page, and I will get back to you.
Get Every Geometry Formula in One Place
Labelled pictures for every formula, 99 worked examples, 76 practice problems with answers and a quick reference, all in one PDF.
$21.99 one-time payment
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