Highlights of this book
- 478 problems, about 24 per chapter
- Problems first (Part 1), answer key second (Part 2)
- Final answers in bold and every step written out
Part 1 gathers the problems, chapter by chapter, in the order of the lessons. Inside each chapter, the first problems apply one idea at a time; the last ones mix several skills in word problems taken from everyday situations.
Part 2 is the answer key: every problem is solved step by step, with the final answer in bold. Keeping the solutions apart means the 20 chapters can be printed and worked on without the answers in sight.
Who is it for?
For a student taking high school Geometry, usually in tenth grade, and for the parents, tutors and homeschooling families who work with them.
The contents, chapter by chapter
For each chapter, a few problem titles and the number of problems.
| Chapter | A few of the problems | Count |
|---|---|---|
| 1Points, Lines, Planes, Segments and Angles | Naming points and rays · Defining a segment · Segment addition: find the whole · Segment addition: find a part · Segment addition with algebra | 23 pb. |
| 2Logic and Two-Column Proofs | Hypothesis and conclusion · Writing if-then form · Rewriting a statement · Writing a converse · Inverse and contrapositive | 23 pb. |
| 3Parallel Lines, Transversals and Proofs | Name the angle pairs · Corresponding angles · Alternate interior angles · Same-side interior angles · Alternate exterior angles | 24 pb. |
| 4Rigid Transformations | Translate points · Translate a triangle · Reflect points over the axes · Reflect a triangle over the y-axis · Reflect over y = x | 25 pb. |
| 5Congruent Triangles: SSS, SAS, ASA, AAS and HL | Name corresponding parts · Read a congruence statement · Find missing measures · Reflect a triangle · Translate a triangle | 24 pb. |
| 6Triangle Theorems and Points of Concurrency | Find the third angle · Acute angles of a right triangle · Base angles of an isosceles triangle · Angle sum with variables · Use the exterior angle | 26 pb. |
| 7Parallelograms and Special Quadrilaterals | Opposite sides · Opposite and consecutive angles · Diagonals bisect each other · Sides with a variable · Opposite angles with a variable | 24 pb. |
| 8Geometric Constructions | Copy a segment · Copy an angle · Bisect a segment · Measurements on a bisector · Bisect an angle | 24 pb. |
| 9Dilations and Similarity Transformations | Scale factor from distances · Find the image length · Find the original length · Enlargement or reduction · Dilate points about the origin | 23 pb. |
| 10Similar Triangles and Proportions | Similar by SSS · Missing sides · Similar by SAS · SSS or not · Parallel line and AA | 24 pb. |
| 11Right Triangle Trigonometry | Name the sides · Ratios from side lengths · Ratios for the other angle · Ratios in a 7-24-25 triangle · Using a calculator | 22 pb. |
| 12Law of Sines, Law of Cosines and Triangle Area | Area from two sides and an angle · Area, decimal answer · Area with an obtuse angle · Angle from the area · Law of Sines for a side | 22 pb. |
| 13Coordinate Geometry Proofs | Vertical distance · Distance with a 3-4-5 triangle · Distance between two points · Distance as a radical · Midpoint of a segment | 25 pb. |
| 14Circles: Chords, Arcs and Inscribed Angles | Similar circles · Ratio of circumferences · Central angle and arc · Inscribed angle from an arc · Arc length from an inscribed angle | 24 pb. |
| 15Arc Length, Sector Area and Radians | Fraction of a circle · Quarter-circle arc · Arc length of a sector · Arc with an obtuse angle · Area of a sector | 25 pb. |
| 16Equation of a Circle | Center at the origin · Equation from center and radius · Negative x-coordinate · Radius is a square root · Given the diameter length | 25 pb. |
| 17Area and Volume Formulas | Circumference from the radius · Circumference from the diameter · Radius from the circumference · Area of a circle · Area from the diameter | 23 pb. |
| 18Cross Sections, Solids of Rotation and Geometric Modeling | Slicing a cube · Rectangle from a cylinder · Circle from a cylinder · Cutting a cone · Slicing a sphere | 24 pb. |
| 19Probability: Independence, Conditional Probability and Fair Decisions | Sample space of a coin and a die · Complement of an event · Union and intersection of events · Filling in a Venn diagram · Addition rule with decimals | 24 pb. |
| 20Parabolas from Focus and Directrix, and Tangent Lines to a Circle | Checking a point against the definition · Solving for a missing ordinate · Deriving an equation from the definition · A parabola that opens downward · A parabola that opens to the right | 24 pb. |
How to use it in four steps
Choose
Pick the chapter of the next quiz or test at school.
Solve
Work the problems on paper without looking at the answer key.
Check
Compare each answer with the worked solution in Part 2.
Redo
A few days later, redo the problems that went wrong: that is where progress happens.
Questions from parents
How many problems are in the Geometry worksheets?
478 problems in 20 chapters, on 264 pages.
Does every problem have an answer?
Yes. Part 2 of the book solves every problem step by step and prints the final answer in bold.
Does it replace the school textbook?
It complements it: use it at home to review, practice or get ahead, whatever textbook the teacher uses.
Do I need the other two books of the grade?
No, each book works on its own. Together, the lessons, worksheets and tests of Geometry cover the three steps: understand, practice, check.
How is the book delivered?
Nothing is shipped: as soon as PayPal confirms the payment, your download page opens, and the link is also sent by email.
Still have a question? Read the general FAQ or write to us from the Mathovore contact page.
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