IXL offers hundreds of Geometry skills to explore and learn! Not sure where to start? Go to your personalized Recommendations wall to find a skill that looks interesting, or select a skill plan that aligns to your textbook, state standards, or standardized test.
IXL offers hundreds of Geometry skills to explore and learn! Not sure where to start? Go to your personalized Recommendations wall to find a skill that looks interesting, or select a skill plan that aligns to your textbook, state standards, or standardized test.
A. Logic 1 Identify hypotheses and conclusions 2 Counterexamples 3 Conditionals 4 Negations 5 Converses, inverses, and contrapositives 6 Biconditionals 7 Truth tables 8 Truth values B. Points, lines, line segments, and planes 1 Lines, line segments, and rays 2 Properties of planes, lines, and points 3 Describe intersections in a plane 4 Lengths of segments on number lines 5 Additive property of length 6 Midpoints • New! Weighted averages 7 Congruent line segments 8 Construct a congruent segment 9 Perpendicular Bisector Theorem 10 Midpoint formula: find the midpoint 11 Partition a line segment in a given ratio 12 Midpoint formula: find the endpoint 13 Distance formula 14 Distance to the origin in three dimensions 15 Construct the midpoint or perpendicular bisector of a segment Checkpoint: Partition a line segment C. Angles 1 Angle vocabulary 2 Angle measures 3 Identify complementary, supplementary, vertical, adjacent, and congruent angles 4 Find measures of complementary, supplementary, vertical, and adjacent angles 5 Angle diagrams: solve for the variable 6 Angle bisectors 7 Construct an angle bisector 8 Construct a congruent angle 9 Proofs involving angles D. Parallel and perpendicular lines 1 Identify parallel, intersecting, and skew lines and planes 2 Construct a perpendicular line 3 Transversals: name angle pairs 4 Transversals of parallel lines: find angle measures 5 Transversals of parallel lines: solve for x 6 Construct parallel lines 7 Proofs involving parallel lines I 8 Proofs involving parallel lines II Checkpoint: Definitions of geometric objects Checkpoint: Line and angle theorems E. Lines in the coordinate plane 1 Slopes of lines 2 Graph a linear equation 3 Equations of lines 4 Slopes of parallel and perpendicular lines 5 Equations of parallel and perpendicular lines 6 Find the distance between a point and a line 7 Find the distance between two parallel lines Checkpoint: Coordinate proofs Checkpoint: Parallel and perpendicular lines F. Triangles review 1 Classify triangles 2 Triangle Angle-Sum Theorem 3 Exterior Angle Theorem 4 Exterior Angle Inequality G. Polygons 1 Polygon vocabulary 2 Interior angles of polygons 3 Exterior angles of polygons 4 Interior and exterior angles of polygons: mixed practice 5 Construct an equilateral triangle or regular hexagon 6 Construct a square H. Congruence transformations 1 Classify congruence transformations 2 Translations: graph the image 3 Translations: find the coordinates 4 Translations: write the rule 5 Reflections: graph the image 6 Reflections: find the coordinates 7 Rotate polygons about a point 8 Rotations: graph the image 9 Rotations: find the coordinates 10 Reflections and rotations: write the rule 11 Glide reflections: graph the image 12 Sequences of congruence transformations: graph the image 13 Sequences of congruence transformations: choose the sequence 14 Sequences of congruence transformations: find the rules 15 Transformations that carry a polygon onto itself 16 Congruence transformations: mixed review Checkpoint: Congruence transformations I. Dilations 1 Dilations: graph the image 2 Dilations: find the coordinates 3 Dilations: find length, perimeter, and area 4 Dilations: find the scale factor • New! Dilations: write the rule 5 Dilations: find the scale factor and center of the dilation 6 Dilations and parallel lines Checkpoint: Transformations in the plane Checkpoint: Dilations J. Symmetry 1 Line symmetry 2 Rotational symmetry 3 Draw lines of symmetry 4 Count lines of symmetry K. Congruent figures review 1 Congruence statements and corresponding parts 2 Solve problems involving corresponding parts 3 Identify congruent figures 4 Determine if two figures are congruent: justify your answer L. Congruent triangles 1 Prove triangles are congruent using rigid motions 2 SSS and SAS Theorems 3 Proving triangles congruent by SSS and SAS 4 ASA and AAS Theorems 5 Proving triangles congruent by ASA and AAS 6 SSS, SAS, ASA, and AAS Theorems 7 SSS Theorem in the coordinate plane 8 Proving triangles congruent by SSS, SAS, ASA, and AAS 9 Proofs involving corresponding parts of congruent triangles 10 Congruency in isosceles and equilateral triangles 11 Proofs involving isosceles triangles 12 Hypotenuse-Leg Theorem Checkpoint: Rigid motion and congruence M. Similar figures 1 Ratios in similar figures 2 Similarity statements 3 Identify similar figures 4 Side lengths and angle measures in similar figures 5 Similar triangles and indirect measurement 6 Perimeters of similar figures 7 Angle-angle criterion for similar triangles 8 Similarity rules for triangles 9 Similar triangles and similarity transformations 10 Determine if two figures are similar: justify your answer 11 Similarity of circles 12 Triangle Proportionality Theorem 13 Similarity and altitudes in right triangles 14 Areas of similar figures 15 Prove similarity statements 16 Prove proportions or angle congruences using similarity 17 Proofs involving similarity in right triangles Checkpoint: Similarity transformations Checkpoint: Triangle similarity and congruence Checkpoint: Prove circles are similar N. Properties of triangles 1 Midsegments of triangles 2 Triangles and bisectors 3 Identify medians, altitudes, angle bisectors, and perpendicular bisectors 4 Angle-side relationships in triangles 5 Triangle Inequality Theorem 6 Construct the circumcenter or incenter of a triangle 7 Construct the centroid or orthocenter of a triangle 8 Find the centroid of a triangle 9 Proofs involving triangles I 10 Proofs involving triangles II Checkpoint: Triangle theorems O. Quadrilaterals 1 Identify trapezoids 2 Classify quadrilaterals I 3 Classify quadrilaterals II 4 Find missing angles in quadrilaterals 5 Graph quadrilaterals 6 Properties of parallelograms 7 Proving a quadrilateral is a parallelogram 8 Properties of rhombuses 9 Properties of squares and rectangles 10 Properties of trapezoids 11 Properties of kites 12 Properties of quadrilaterals: mixed practice 13 Classify shapes on the coordinate plane: justify your answer 14 Proofs involving triangles and quadrilaterals 15 Proofs involving quadrilaterals Checkpoint: Parallelogram theorems P. Pythagorean theorem 1 Pythagorean theorem 2 Prove the Pythagorean theorem 3 Converse of the Pythagorean theorem 4 Pythagorean Inequality Theorems Q. Right triangle trigonometry 1 Trigonometric ratios: sin, cos, and tan 2 Trigonometric ratios with radicals: sin, cos, and tan 3 Trigonometric ratios: csc, sec, and cot 4 Trigonometric ratios in similar right triangles 5 Special right triangles 6 Find trigonometric functions of special angles 7 Solve a special right triangle 8 Find trigonometric functions using a calculator 9 Sine and cosine of complementary angles 10 Inverses of trigonometric functions 11 Trigonometric ratios: find a side length 12 Trigonometric ratios: find an angle measure 13 Solve a right triangle • New! Trigonometric ratios: word problems Checkpoint: Right triangle trigonometry R. Laws of Sines and Cosines 1 Law of Sines 2 Law of Cosines 3 Solve a triangle 4 Area of a triangle: sine formula 5 Area of a triangle: Law of Sines Checkpoint: Laws of Sines and Cosines S. Area and perimeter 1 Perimeter 2 Area of rectangles and squares 3 Area of parallelograms and triangles 4 Area of trapezoids 5 Area of rhombuses 6 Area of regular polygons 7 Area and perimeter in the coordinate plane I 8 Area and perimeter in the coordinate plane II 9 Area and circumference of circles 10 Area of compound figures 11 Area between two shapes 12 Area and perimeter of similar figures 13 Perimeter and area: changes in scale 14 Heron's formula 15 Area and perimeter mixed review Checkpoint: Area and perimeter in the coordinate plane T. Three-dimensional figures 1 Parts of three-dimensional figures 2 Three-dimensional figure vocabulary 3 Nets and drawings of three-dimensional figures 4 Cross sections of three-dimensional figures 5 Solids of revolution Checkpoint: Cross sections and solids of revolution U. Surface area and volume 1 Lateral area of prisms and cylinders 2 Lateral area of pyramids and cones 3 Surface area and volume of rectangular prisms 4 Surface area of prisms and cylinders 5 Surface area of pyramids and cones 6 Surface area of spheres 7 Volume of prisms and cylinders 8 Volume of pyramids and cones 9 Volume of spheres 10 Volume of compound figures 11 Similar solids: find the missing length 12 Surface area and volume of similar solids 13 Surface area and volume: changes in scale 14 Perimeter, area, and volume: changes in scale 15 Surface area and volume review Checkpoint: Surface area Checkpoint: Volume V. Measurement 1 Convert rates and measurements: customary units 2 Convert rates and measurements: metric units 3 Convert square and cubic units of length 4 Precision 5 Greatest possible error 6 Minimum and maximum area and volume 7 Percent error 8 Percent error: area and volume 9 Calculate density, mass, and volume Checkpoint: Geometric modeling and design Checkpoint: Density W. Circles 1 Parts of a circle 2 Central angles and arc measures 3 Understand arc length and sector area of a circle 4 Arc length 5 Convert between radians and degrees 6 Radians and arc length 7 Area of sectors 8 Circle measurements: mixed review 9 Arcs and chords 10 Tangent lines 11 Perimeter of polygons with an inscribed circle 12 Inscribed angles 13 Angles in inscribed right triangles 14 Angles in inscribed quadrilaterals I 15 Angles in inscribed quadrilaterals II 16 Angles formed by chords, secants, and tangents 17 Segments formed by chords, secants, and tangents Checkpoint: Angles and lines in circles Checkpoint: Inscribed and circumscribed circles Checkpoint: Arc length and area of sectors X. Constructions with circles 1 Construct a tangent line to a circle 2 Construct an equilateral triangle inscribed in a circle 3 Construct a square inscribed in a circle 4 Construct a regular hexagon inscribed in a circle 5 Construct the inscribed or circumscribed circle of a triangle Checkpoint: Geometric constructions Y. Circles in the coordinate plane 1 Find the center of a circle 2 Find the radius or diameter of a circle 3 Determine if a point lies on a circle 4 Derive equations of circles using the Pythagorean theorem 5 Write equations of circles in standard form from graphs 6 Write equations of circles in standard form using properties 7 Convert equations of circles from general to standard form 8 Find properties of circles from equations in general form 9 Graph circles from equations in standard form 10 Graph circles from equations in general form Checkpoint: Equations of circles Z. Parabolas in the coordinate plane 1 Find the vertex of a parabola 2 Find the focus or directrix of a parabola 3 Find the axis of symmetry of a parabola 4 Write equations of parabolas in vertex form from graphs 5 Write equations of parabolas in vertex form using the focus and directrix 6 Write equations of parabolas in vertex form using properties 7 Convert equations of parabolas from general to vertex form 8 Find properties of a parabola from equations in general form 9 Graph parabolas Checkpoint: Equations of parabolas AA. Probability 1 Theoretical and experimental probability 2 Outcomes of compound events 3 Identify independent and dependent events 4 Probability of independent and dependent events 5 Counting principle 6 Permutations 7 Permutation and combination notation 8 Find probabilities using combinations and permutations 9 Find probabilities using two-way frequency tables 10 Identify independent events 11 Find conditional probabilities 12 Find conditional probabilities using two-way frequency tables 13 Independence and conditional probability 14 Geometric probability 15 Find probabilities using the addition rule Checkpoint: Understand independence and conditional probability Checkpoint: Probabilities of compound events BB. Vectors 1 Compass directions and vectors 2 Find the magnitude of a vector 3 Find the component form of a vector 4 Find the component form of a vector given its magnitude and direction angle 5 Graph a resultant vector using the triangle method 6 Graph a resultant vector using the parallelogram method 7 Add vectors 8 Subtract vectors Geometry lessonsThese lessons help you brush up on important math topics and prepare you to dive into skill practice!
Lines and line segments Midpoint formula Distance formula Perpendicular bisectors Angles Complementary angles Supplementary angles Adjacent angles Vertical angles Angle bisectors Parallel and perpendicular lines Transversals of parallel lines Equations of parallel and perpendicular lines Triangles Interior angles of triangles Exterior angles of triangles Triangle inequality theorem Quadrilaterals Properties of parallelograms Three-dimensional figures Nets Cross sections Congruence Congruence Proofs with congruent triangles Transformations Transformations Translations Reflections Rotations Dilations Symmetry Symmetry Similarity Similarity Similar triangles Proofs with similar triangles Right triangles and trigonometry The Pythagorean theorem The converse of the Pythagorean theorem Trigonometric ratios Solving right triangles Area Area of triangles Area of parallelograms Area of rhombuses Area of trapezoids Surface area and volume Surface area formulas Volume formulas Volume of prisms Volume of cylinders Volume of pyramids Volume of cones Volume of spheres Circles Parts of a circle Area of circles Circumference of circles Arc length Radians Area of sectors Tangent to a circle Inscribed angles Inscribed circles Circumscribed circles Circles and parabolas in the coordinate plane Equations of circles Parabolas Probability Probability Compound probability Conditional probability