Geometry · Worksheets

Geometry Worksheets

316 worksheets · pick a grade and topic, practice on screen, or print a worksheet and work it on paper.

Grade-by-grade topicsPrintable practice

Using 2x2 Matrices for Plane Transformations

1 worksheet

Geometry: Using 2x2 Matrices for Plane Transformations worksheets

2×2 Matrices as Plane TransformationsGeometry · Work with 2×2 matrices as transformations of the plane, and interpret the absolute value of the determinant in terms of area.Practice

Applying Density in Modeling Situations

1 worksheet

Geometry: Applying Density in Modeling Situations worksheets

Applying Density in Modeling SituationsGeometry · Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot).Practice

Applying Laws of Sines and Cosines

1 worksheet

Geometry: Applying Laws of Sines and Cosines worksheets

Applying the Laws of Sines and CosinesGeometry · Use the Law of Sines and the Law of Cosines to solve problems involving general (non-right) triangles, including finding unknown sides and angles.Practice

Circle Relationships: Angles, Radii, and Chords

1 worksheet

Geometry: Circle Relationships: Angles, Radii, and Chords worksheets

Circle Relationships: Angles, Radii, and ChordsGeometry · Identify and describe relationships among inscribed angles, radii, and chords, including central vs. inscribed angles, inscribed angles on a diameter, and tangent-radius perpendicularity.Practice

Circle Similarity

1 worksheet

Geometry: Circle Similarity worksheets

Congruence via Rigid Motions

1 worksheet

Geometry: Congruence via Rigid Motions worksheets

Congruence via Rigid MotionsGeometry · Use geometric descriptions of rigid motions (translations, reflections, rotations) to transform figures and predict their effects; determine whether two figures are congruent by identifying a sequence of rigid motions that maps one onto the other.Practice

Constructing Inverse Trigonometric Functions

1 worksheet

Geometry: Constructing Inverse Trigonometric Functions worksheets

Constructing Inverse Trigonometric FunctionsGeometry · Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed (CCSS.F-TF.6).Practice

Properties of Dilations and Scale Factor

1 worksheet

Geometry: Properties of Dilations and Scale Factor worksheets

Constructing Regular Polygons Inscribed in a CircleGeometry · Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle using compass-and-straightedge techniques, understanding the geometric properties that make each construction work.Practice

Constructing Tangents to Circles

1 worksheet

Geometry: Constructing Tangents to Circles worksheets

Constructing Tangents to CirclesGeometry · Construct a tangent line from a point outside a given circle to the circle, applying properties of tangent segments, right angles at the point of tangency, and geometric constructions.Practice

Coordinates to Find Perimeter and Area

1 worksheet

Geometry: Coordinates to Find Perimeter and Area worksheets

Coordinates to Find Perimeter and AreaGeometry · Use coordinates to compute perimeters of polygons and areas of triangles and rectangles using the distance formula.Practice

Cross-Sections, Rotations of 3D Objects

1 worksheet

Geometry: Cross-Sections, Rotations of 3D Objects worksheets

Cross-Sections & Rotations of 3D ObjectsGeometry · Identify shapes of 2D cross-sections of 3D objects, and identify 3D objects generated by rotations of 2D objects (CCSS.G-GMD.4).Practice

Defining Rotations, Reflections, and Translations

1 worksheet

Geometry: Defining Rotations, Reflections, and Translations worksheets

Defining Rotations, Reflections, and TranslationsGeometry · Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments (G-CO.4).Practice

Derive the Equation of a Circle

1 worksheet

Geometry: Derive the Equation of a Circle worksheets

Derive the Equation of a CircleGeometry · Derive the equation of a circle given its center and radius using the Pythagorean Theorem, and complete the square to find the center and radius of a circle given by an equation.Practice

Derive Equations of Ellipses and Parabolas

1 worksheet

Geometry: Derive Equations of Ellipses and Parabolas worksheets

Deriving Equations of Ellipses and Hyperbolas from FociGeometry · Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant (CCSS.G-GPE.3).Practice

Derive the Equation of a Parabola

1 worksheet

Geometry: Derive the Equation of a Parabola worksheets

Deriving the Equation of a ParabolaGeometry · Derive the equation of a parabola given a focus and directrix (CCSS.G-GPE.2)Practice

Dilations Change Length by Scale Factor

1 worksheet

Geometry: Dilations Change Length by Scale Factor worksheets

Dilations Change Length by Scale FactorGeometry · Students will understand and apply the principle that the dilation of a line segment is longer or shorter in the ratio given by the scale factor (CCSS.G-SRT.1.b).Practice

Informal Argument for Volume of Sphere

1 worksheet

Geometry: Informal Argument for Volume of Sphere worksheets

Informal Argument for the Volume of a SphereGeometry · Use Cavalieri's principle and cross-sectional reasoning to informally derive and justify the formula for the volume of a sphere (V = 4/3 πr³).Practice

Informal Arguments for Circle/Solid Formulas

1 worksheet

Geometry: Informal Arguments for Circle/Solid Formulas worksheets

Informal Arguments for Circle & Solid FormulasGeometry · Give informal arguments for the formulas for circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone using dissection arguments, Cavalieri's principle, and informal limit arguments.Practice

All Circles Are Similar

1 worksheet

Geometry: All Circles Are Similar worksheets

Law of Sines & Law of Cosines PracticeGeometry · Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles.Practice

Modeling Periodic Phenomena with Trigonometric Functions

1 worksheet

Geometry: Modeling Periodic Phenomena with Trigonometric Functions worksheets

Modeling Periodic Phenomena with Trigonometric FunctionsGeometry · Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline (CCSS.F-TF.5)Practice

Modeling with Geometric Shapes and Properties

1 worksheet

Geometry: Modeling with Geometric Shapes and Properties worksheets

Modeling Real-World Objects with Geometric ShapesGeometry · Use geometric shapes, their measures, and their properties to describe and model real-world objects (CCSS.G-MG.1).Practice

Formal Geometric Constructions

1 worksheet

Geometry: Formal Geometric Constructions worksheets

Parallelogram Theorems: Proofs & PropertiesGeometry · Prove and apply theorems about parallelograms: opposite sides are congruent, opposite angles are congruent, diagonals bisect each other, and rectangles are parallelograms with congruent diagonals.Practice

Performing and Sequencing Rigid Transformations

1 worksheet

Geometry: Performing and Sequencing Rigid Transformations worksheets

Performing and Sequencing Rigid TransformationsGeometry · Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure and specify a sequence of transformations that will carry a given figure onto another (CCSS.G-CO.5).Practice

Precise Geometric Definitions from Undefined Terms

1 worksheet

Geometry: Precise Geometric Definitions from Undefined Terms worksheets

Precise Geometric Definitions from Undefined TermsGeometry · Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc (CCSS.G-CO.1).Practice

Proving Angle Addition/Subtraction Formulas

1 worksheet

Geometry: Proving Angle Addition/Subtraction Formulas worksheets

Proving & Applying Angle Addition/Subtraction FormulasGeometry · Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems (CCSS.F-TF.9).Practice

Proving the Pythagorean Identity

1 worksheet

Geometry: Proving the Pythagorean Identity worksheets

Proving & Applying the Pythagorean IdentityGeometry · Prove the Pythagorean identity sin²(θ) + cos²(θ) = 1 and use it to find sin(θ), cos(θ), or tan(θ) given one trig value and the quadrant of the angle.Practice

Proving and Applying Polynomial Identities

1 worksheet

Geometry: Proving and Applying Polynomial Identities worksheets

Proving and Applying Polynomial IdentitiesGeometry · Prove polynomial identities and use them to describe numerical relationships, including generating Pythagorean triples.Practice

Proving Theorems with Coordinate Geometry

1 worksheet

Geometry: Proving Theorems with Coordinate Geometry worksheets

Proving Theorems with Coordinate GeometryGeometry · Use coordinates to prove simple geometric theorems algebraically, including verifying properties of figures defined by given points and determining whether points lie on specific curves.Practice

Regular Polygons Inscribed in a Circle

1 worksheet

Geometry: Regular Polygons Inscribed in a Circle worksheets

Regular Polygons Inscribed in a CircleGeometry · Apply compass-and-straightedge construction techniques to inscribe regular polygons in circles, using segment copying, angle bisection, perpendicular construction, and related methods (CCSS.G-CO.12).Practice

Representing Transformations as Functions

1 worksheet

Geometry: Representing Transformations as Functions worksheets

Representing Transformations as FunctionsGeometry · Represent transformations in the plane as functions that map input points to output points; describe and compare transformations that preserve distance and angle to those that do not.Practice

Sine and Cosine of Complementary Angles

1 worksheet

Geometry: Sine and Cosine of Complementary Angles worksheets

Sine and Cosine of Complementary AnglesGeometry · Understand that sine and cosine of complementary angles are equal (sin θ = cos(90° − θ)) by recognizing that side ratios in right triangles are determined by the angles, and apply this relationship to solve problems.Practice

Solving Problems with Volume Formulas

1 worksheet

Geometry: Solving Problems with Volume Formulas worksheets

Solving Problems with Volume FormulasGeometry · Use volume formulas for cylinders, pyramids, cones, and spheres to solve real-world and mathematical problems (CCSS.G-GMD.3).Practice

Solving Trigonometric Equations in Context

1 worksheet

Geometry: Solving Trigonometric Equations in Context worksheets

Solving Trigonometric Equations in ContextGeometry · Use inverse trigonometric functions to solve equations arising from periodic modeling contexts, evaluate solutions using technology, and interpret results in terms of real-world scenarios (CCSS.F-TF.7).Practice

Symmetries of Polygons: Rotations and Reflections

1 worksheet

Geometry: Symmetries of Polygons: Rotations and Reflections worksheets

Symmetries of Polygons: Rotations and ReflectionsGeometry · Describe the rotations and reflections that carry a rectangle, parallelogram, trapezoid, or regular polygon onto itself (CCSS G-CO.3).Practice

Theorems about Triangles

1 worksheet

Geometry: Theorems about Triangles worksheets

Theorems About Lines and AnglesGeometry · Prove and apply theorems about vertical angles, parallel lines cut by a transversal (alternate interior and corresponding angles), and perpendicular bisectors.Practice

Congruence and Similarity to Solve Problems

1 worksheet

Geometry: Congruence and Similarity to Solve Problems worksheets

Theorems Involving Triangle SimilarityGeometry · Apply theorems about triangles—including the Triangle Proportionality Theorem and the Pythagorean Theorem proved via similarity—to solve problems and justify reasoning.Practice

Proving, Applying Laws of Sines/Cosines

1 worksheet

Geometry: Proving, Applying Laws of Sines/Cosines worksheets

Triangle Area Using A = ½ab sin(C)Geometry · Derive and apply the formula A = ½ab sin(C) for the area of a triangle by drawing an auxiliary altitude, and use it to solve problems involving non-right triangles.Practice

Theorems about Lines and Angles

1 worksheet

Geometry: Theorems about Lines and Angles worksheets

Triangle Congruence & Rigid MotionsGeometry · Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.Practice

Triangle Similarity Theorems and Pythagorean Theorem

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Geometry: Triangle Similarity Theorems and Pythagorean Theorem worksheets

Theorems about Parallelograms

1 worksheet

Geometry: Theorems about Parallelograms worksheets

Triangle Theorems: Angles, Midpoints, Medians & MoreGeometry · Apply and prove theorems about triangles including the triangle angle sum, base angles of isosceles triangles, the triangle midsegment theorem, and the concurrency of medians.Practice

Deriving the Triangle Area Formula

1 worksheet

Geometry: Deriving the Triangle Area Formula worksheets

Trigonometric Ratios & Right Triangles in Applied ProblemsGeometry · Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems (CCSS.G-SRT.8).Practice

Trigonometric Ratios from Right Triangle Similarity

1 worksheet

Geometry: Trigonometric Ratios from Right Triangle Similarity worksheets

Trigonometric Ratios from Right Triangle SimilarityGeometry · Use congruence and similarity criteria for triangles to solve problems involving trigonometric ratios and prove relationships in geometric figures.Practice

Using Geometry to Solve Design Problems

1 worksheet

Geometry: Using Geometry to Solve Design Problems worksheets

Using Geometry to Solve Design ProblemsGeometry · Apply geometric methods to solve design problems, including designing objects or structures to satisfy physical constraints or minimize cost, and working with typographic grid systems based on ratios.Practice

Zero and Identity Matrices and Determinants

1 worksheet

Geometry: Zero and Identity Matrices and Determinants worksheets

Zero and Identity Matrices & DeterminantsGeometry · Understand that zero and identity matrices play roles in matrix addition and multiplication analogous to 0 and 1 in the reals, and that a square matrix has a multiplicative inverse if and only if its determinant is nonzero.Practice

Angles

4 worksheets

Geometry: Angles worksheets

Angle BisectorsGeometry · Understand and apply the definition and properties of angle bisectors, including the Angle Bisector Theorem and equidistance from sides.Practice Angle Diagrams: Solve for the VariableGeometry · Set up and solve equations from angle diagrams using complementary, supplementary, vertical, and adjacent angle relationships.Practice Angle MeasuresGeometry · Build fluency and conceptual understanding of angle measures using complementary, supplementary, vertical, and adjacent angle relationships.Practice Angle Pairs: Complementary, Supplementary, Vertical, Adjacent & CongruentGeometry · Identify and reason about complementary, supplementary, vertical, adjacent, and congruent angles.Practice