Geometry

Here is a list of all of the skills students learn in Geometry! These skills are organized into categories, and you can move your mouse over any skill name to view a sample question. To start practicing, just click on any link. IXL will track your score, and the questions will automatically increase in difficulty as you improve!

Algebra review

Points, lines, and segments

Angles

Parallel and perpendicular lines

Lines in the coordinate plane

Introduction to triangles

Two-dimensional figures

Three-dimensional figures

Logic

Introduction to congruent figures

Congruent triangles

Transformations

Triangles

Quadrilaterals

Symmetry

Similarity

Right triangles

Trigonometry

Area and perimeter

Surface area and volume

Circles

Circles in the coordinate plane

Measurement

Probability

Here is a list of all of the skills students learn in Geometry! These skills are organized into categories, and you can move your mouse over any skill name to view a sample question. To start practicing, just click on any link. IXL will track your score, and the questions will automatically increase in difficulty as you improve!

Algebra review

- A.1Ratios and proportions
- A.2Scale maps and drawings
- A.3Properties of exponents
- A.4Simplify radical expressions
- A.5Write variable expressions and equations
- A.6Solve linear equations
- A.7Solve linear inequalities
- A.8Solve systems of linear equations
- A.9Solve quadratic equations

Points, lines, and segments

- B.1Lines, line segments, and rays
- B.2Lengths of segments on number lines
- B.3Additive property of length
- B.4Midpoints
- B.5Congruent line segments
- B.6Perpendicular Bisector Theorem
- B.7Midpoint formula
- B.8Distance formula

Angles

- C.1Angle vocabulary
- C.2Angle measures
- C.3Identify complementary, supplementary, vertical, adjacent, and congruent angles
- C.4Find measures of complementary, supplementary, vertical, and adjacent angles
- C.5Angle bisectors
- C.6Proofs involving angles

Parallel and perpendicular lines

- D.1Identify parallel, perpendicular, and skew lines and planes
- D.2Transversals: name angle pairs
- D.3Transversals of parallel lines: find angle measures
- D.4Proofs involving parallel lines I
- D.5Proofs involving parallel lines II

Lines in the coordinate plane

- E.1Coordinate plane review
- E.2Slopes of lines
- E.3Graph a linear equation
- E.4Equations of lines
- E.5Slopes of parallel and perpendicular lines
- E.6Equations of parallel and perpendicular lines

Introduction to triangles

Two-dimensional figures

- G.1Polygon vocabulary
- G.2Interior angles of polygons
- G.3Exterior angles of polygons
- G.4Review: interior and exterior angles of polygons

Three-dimensional figures

- H.1Three-dimensional figure vocabulary
- H.2Parts of three-dimensional figures
- H.3Nets and drawings of three-dimensional figures
- H.4Cross-sections of three-dimensional figures
- H.5Solids of revolution

Logic

- I.1Identify hypotheses and conclusions
- I.2Counterexamples
- I.3Truth tables
- I.4Truth values
- I.5Conditionals
- I.6Negations
- I.7Converses, inverses, and contrapositives
- I.8Biconditionals

Introduction to congruent figures

- J.1Congruence statements and corresponding parts
- J.2Solve problems involving corresponding parts
- J.3Identify congruent figures

Congruent triangles

- K.1SSS and SAS Theorems
- K.2Proving triangles congruent by SSS and SAS
- K.3ASA and AAS Theorems
- K.4Proving triangles congruent by ASA and AAS
- K.5SSS, SAS, ASA, and AAS Theorems
- K.6Proving triangles congruent by SSS, SAS, ASA, and AAS
- K.7Proofs involving corresponding parts of congruent triangles
- K.8Congruency in isosceles and equilateral triangles
- K.9Proofs involving isosceles triangles
- K.10Hypotenuse-Leg Theorem

Transformations

- L.1Translations: graph the image
- L.2Translations: find the coordinates
- L.3Translations: write the rule
- L.4Reflections: graph the image
- L.5Reflections: find the coordinates
- L.6Rotate polygons about a point
- L.7Rotations: graph the image
- L.8Rotations: find the coordinates
- L.9Classify congruence transformations
- L.10Compositions of congruence transformations: graph the image
- L.11Transformations that carry a polygon onto itself
- L.12Congruence transformations: mixed review
- L.13Dilations: graph the image
- L.14Dilations: find the coordinates
- L.15Dilations: scale factor and classification
- L.16Dilations and parallel lines

Triangles

- M.1Midsegments of triangles
- M.2Triangles and bisectors
- M.3Identify medians, altitudes, angle bisectors, and perpendicular bisectors
- M.4Angle-side relationships in triangles
- M.5Triangle Inequality Theorem
- M.6Proofs involving triangles I
- M.7Proofs involving triangles II

Quadrilaterals

- N.1Classify quadrilaterals
- N.2Properties of parallelograms
- N.3Proving a quadrilateral is a parallelogram
- N.4Properties of rhombuses
- N.5Properties of squares and rectangles
- N.6Properties of trapezoids
- N.7Properties of kites
- N.8Review: properties of quadrilaterals
- N.9Proofs involving quadrilaterals I
- N.10Proofs involving quadrilaterals II

Symmetry

Similarity

- P.1Identify similar figures
- P.2Similarity ratios
- P.3Similarity statements
- P.4Side lengths and angle measures in similar figures
- P.5Similar triangles and indirect measurement
- P.6Perimeters of similar figures
- P.7Similarity rules for triangles
- P.8Similar triangles and similarity transformations
- P.9Similarity of circles
- P.10Triangle Proportionality Theorem
- P.11Areas of similar figures

Right triangles

- Q.1Pythagorean Theorem
- Q.2Converse of the Pythagorean theorem
- Q.3Pythagorean Inequality Theorems
- Q.4Special right triangles

Trigonometry

- R.1Trigonometric ratios: sin, cos, and tan
- R.2Trigonometric ratios: csc, sec, and cot
- R.3Trigonometric ratios in similar right triangles
- R.4Complementary angles
- R.5Find trigonometric functions of special angles
- R.6Find trigonometric functions using a calculator
- R.7Inverses of trigonometric functions
- R.8Trigonometric ratios: find a side length
- R.9Trigonometric ratios: find an angle measure
- R.10Solve a right triangle
- R.11Law of Sines
- R.12Law of Cosines
- R.13Solve a triangle

Area and perimeter

- S.1Perimeter
- S.2Area of rectangles and squares
- S.3Area of parallelograms and triangles
- S.4Area of trapezoids
- S.5Area and perimeter in the coordinate plane I
- S.6Area and perimeter in the coordinate plane II
- S.7Area and circumference of circles
- S.8Area of compound figures
- S.9Area between two shapes
- S.10Area and perimeter of similar figures
- S.11Heron's formula
- S.12Area and perimeter mixed review

Surface area and volume

- T.1Introduction to surface area and volume
- T.2Surface area of prisms and cylinders
- T.3Surface area of pyramids and cones
- T.4Volume of prisms and cylinders
- T.5Volume of pyramids and cones
- T.6Surface area and volume of spheres
- T.7Introduction to similar solids
- T.8Surface area and volume of similar solids
- T.9Surface area and volume review

Circles

- U.1Parts of a circle
- U.2Central angles
- U.3Arc measure and arc length
- U.4Area of sectors
- U.5Circle measurements: mixed review
- U.6Arcs and chords
- U.7Tangent lines
- U.8Perimeter of polygons with an inscribed circle
- U.9Inscribed angles
- U.10Angles in inscribed right triangles
- U.11Angles in inscribed quadrilaterals

Circles in the coordinate plane

- V.1Find the center of a circle
- V.2Find the radius or diameter of a circle
- V.3Write equations of circles in standard form from graphs
- V.4Write equations of circles in standard form using properties
- V.5Graph circles

Measurement

- W.1Convert rates and measurements: customary units
- W.2Convert rates and measurements: metric units
- W.3Convert square and cubic units of length
- W.4Precision
- W.5Greatest possible error
- W.6Minimum and maximum area and volume
- W.7Percent error
- W.8Percent error: area and volume

Probability