# 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 preview the skill. 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.1 Ratios and proportions
- A.2 Scale drawings: word problems
- A.3 Properties of exponents
- A.4 Simplify radical expressions
- A.5 Write variable expressions
- A.6 Solve linear equations
- A.7 Solve linear inequalities
- A.8 Solve systems of linear equations
- A.9 Solve a quadratic equation by factoring
- A.10 Solve a quadratic equation using the quadratic formula

## Points, lines, and segments

## Angles

- C.1 Angle vocabulary
- C.2 Angle measures
- C.3 Identify complementary, supplementary, vertical, adjacent, and congruent angles
- C.4 Find measures of complementary, supplementary, vertical, and adjacent angles
- C.5 Angle bisectors
- C.6 Construct an angle bisector
- C.7 Construct a congruent angle
- C.8 Proofs involving 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

- K.1 SSS and SAS Theorems
- K.2 Proving triangles congruent by SSS and SAS
- K.3 ASA and AAS Theorems
- K.4 Proving triangles congruent by ASA and AAS
- K.5 SSS, SAS, ASA, and AAS Theorems
- K.6 SSS Theorem in the coordinate plane
- K.7 Proving triangles congruent by SSS, SAS, ASA, and AAS
- K.8 Proofs involving corresponding parts of congruent triangles
- K.9 Congruency in isosceles and equilateral triangles
- K.10 Proofs involving isosceles triangles
- K.11 Hypotenuse-Leg Theorem

## Transformations

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

## Triangles

- M.1 Midsegments of triangles
- M.2 Triangles and bisectors
- M.3 Identify medians, altitudes, angle bisectors, and perpendicular bisectors
- M.4 Angle-side relationships in triangles
- M.5 Triangle Inequality Theorem
- M.6 Construct the circumcenter or incenter of a triangle
- M.7 Construct the centroid or orthocenter of a triangle
- M.8 Proofs involving triangles I
- M.9 Proofs involving triangles II

## Quadrilaterals

- N.1 Identify trapezoids
- N.2 Classify quadrilaterals
- N.3 Graph quadrilaterals
- N.4 Properties of parallelograms
- N.5 Proving a quadrilateral is a parallelogram
- N.6 Properties of rhombuses
- N.7 Properties of squares and rectangles
- N.8 Properties of trapezoids
- N.9 Properties of kites
- N.10 Review: properties of quadrilaterals
- N.11 Proofs involving quadrilaterals I
- N.12 Proofs involving quadrilaterals II

## Symmetry

## Similarity

- P.1 Similarity ratios
- P.2 Similarity statements
- P.3 Identify similar figures
- P.4 Side lengths and angle measures in similar figures
- P.5 Similar triangles and indirect measurement
- P.6 Perimeters of similar figures
- P.7 Similarity rules for triangles
- P.8 Similar triangles and similarity transformations
- P.9 Similarity of circles
- P.10 Triangle Proportionality Theorem
- P.11 Areas of similar figures
- P.12 Prove similarity statements
- P.13 Prove proportions or angle congruences using similarity
- P.14 Proofs involving similarity in right triangles
- P.15 Prove the Pythagorean theorem

## Right triangles

## Trigonometry

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

## Area and perimeter

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

## Surface area and volume

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

## Circles

- U.1 Parts of a circle
- U.2 Central angles
- U.3 Arc measure and arc length
- U.4 Area of sectors
- U.5 Circle measurements: mixed review
- U.6 Arcs and chords
- U.7 Tangent lines
- U.8 Perimeter of polygons with an inscribed circle
- U.9 Inscribed angles
- U.10 Angles in inscribed right triangles
- U.11 Angles in inscribed quadrilaterals I
- U.12 Angles in inscribed quadrilaterals II
- U.13 Construct a tangent line to a circle
- U.14 Construct an equilateral triangle inscribed in a circle
- U.15 Construct a square inscribed in a circle
- U.16 Construct a regular hexagon inscribed in a circle
- U.17 Construct the inscribed or circumscribed circle of a triangle

## Circles in the coordinate plane

- V.1 Find the center of a circle
- V.2 Find the radius or diameter of a circle
- V.3 Write equations of circles in standard form from graphs
- V.4 Write equations of circles in standard form using properties
- V.5 Convert equations of circles from general to standard form
- V.6 Find properties of circles from equations in general form
- V.7 Graph circles from equations in standard form
- V.8 Graph circles from equations in general form

## Measurement

## Probability

## Vectors

- Y.1 Compass directions and vectors
- Y.2 Find the magnitude of a vector
- Y.3 Find the component form of a vector
- Y.4 Find the component form of a vector given its magnitude and direction angle
- Y.5 Graph a resultant vector using the triangle method
- Y.6 Graph a resultant vector using the parallelogram method
- Y.7 Add and subtract vectors