# 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

- 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.8Find the distance between two points
- B.9Construct the midpoint or perpendicular bisector of a segment

## 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.6Construct an angle bisector
- C.7Construct a congruent angle
- C.8Proofs 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.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.6SSS Theorem in the coordinate plane
- K.7Proving triangles congruent by SSS, SAS, ASA, and AAS
- K.8Proofs involving corresponding parts of congruent triangles
- K.9Congruency in isosceles and equilateral triangles
- K.10Proofs involving isosceles triangles
- K.11Hypotenuse-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.6Construct the circumcenter or incenter of a triangle
- M.7Construct the centroid or orthocenter of a triangle
- M.8Proofs involving triangles I
- M.9Proofs 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

## Trigonometry

- R.1Trigonometric ratios: sin, cos, and tan
- R.2Trigonometric ratios: csc, sec, and cot
- R.3Trigonometric ratios in similar right triangles
- R.4Trigonometric functions of complementary 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
- U.12Construct a tangent line to a circle
- U.13Construct an equilateral triangle inscribed in a circle
- U.14Construct a square inscribed in a circle
- U.15Construct a regular hexagon inscribed in a circle
- U.16Construct the inscribed or circumscribed circle of a triangle

## Circles in the coordinate plane

## Measurement

## Probability

## Vectors

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