Geometry

IXL offers hundreds of Geometry skills to explore and learn! Not sure where to start? Go to your personalized Recommendations wall and choose a skill that looks interesting!

IXL offers hundreds of Geometry skills to explore and learn! Not sure where to start? Go to your personalized Recommendations wall and choose a skill that looks interesting!

A. Algebra review

1
Ratios and proportions

2
Scale drawings: word problems

3
Properties of exponents

4
Simplify radical expressions

5
Write variable expressions

6
Solve linear equations

7
Solve linear inequalities

8
Solve systems of linear equations

9
Solve a quadratic equation by factoring

10
Solve a quadratic equation using the quadratic formula

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

7
Congruent line segments

8
Perpendicular Bisector Theorem

9
Midpoint formula: find the midpoint

10
Midpoint formula: find the endpoint

11
Distance formula

12
Distance to the origin in three dimensions

13
Construct the midpoint or perpendicular bisector of a 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 bisectors

6
Construct an angle bisector

7
Construct a congruent angle

8
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
Construct parallel lines

6
Proofs involving parallel lines I

7
Proofs involving parallel lines II

E. Lines in the coordinate plane

1
Coordinate plane review

2
Slopes of lines

3
Graph a linear equation

4
Equations of lines

5
Slopes of parallel and perpendicular lines

6
Equations of parallel and perpendicular lines

7
Find the distance between a point and a line

8
Find the distance between two parallel lines

F. Introduction to triangles

1
Classify triangles

2
Triangle Angle-Sum Theorem

3
Exterior Angle Theorem

4
Exterior Angle Inequality

G. Two-dimensional figures

1
Polygon vocabulary

2
Interior angles of polygons

3
Exterior angles of polygons

4
Review: interior and exterior angles of polygons

5
Construct an equilateral triangle or regular hexagon

6
Construct a square

H. 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

I. 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

J. Introduction to congruent figures

1
Congruence statements and corresponding parts

2
Solve problems involving corresponding parts

3
Identify congruent figures

K. Congruent triangles

1
SSS and SAS Theorems

2
Proving triangles congruent by SSS and SAS

3
ASA and AAS Theorems

4
Proving triangles congruent by ASA and AAS

5
SSS, SAS, ASA, and AAS Theorems

6
SSS Theorem in the coordinate plane

7
Proving triangles congruent by SSS, SAS, ASA, and AAS

8
Proofs involving corresponding parts of congruent triangles

9
Congruency in isosceles and equilateral triangles

10
Proofs involving isosceles triangles

11
Hypotenuse-Leg Theorem

L. 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
Compositions of congruence transformations: graph the image

11
Transformations that carry a polygon onto itself

12
Congruence transformations: mixed review

13
Dilations: graph the image

14
Dilations: find the coordinates

15
Dilations: scale factor and classification

16
Dilations and parallel lines

M. 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
Proofs involving triangles I

9
Proofs involving triangles II

N. 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
Review: properties of quadrilaterals

13
Proofs involving quadrilaterals I

14
Proofs involving quadrilaterals II

O. Symmetry

1
Line symmetry

2
Rotational symmetry

3
Draw lines of symmetry

4
Count lines of symmetry

P. Similarity

1
Similarity ratios

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
Similarity rules for triangles

8
Similar triangles and similarity transformations

9
Similarity of circles

10
Triangle Proportionality Theorem

11
Similarity and altitudes in right triangles

12
Areas of similar figures

13
Prove similarity statements

14
Prove proportions or angle congruences using similarity

15
Proofs involving similarity in right triangles

16
Prove the Pythagorean theorem

Q. Right triangles

1
Pythagorean theorem

2
Converse of the Pythagorean theorem

3
Pythagorean Inequality Theorems

4
Special right triangles

R. Trigonometry

1
Trigonometric ratios: sin, cos, and tan

2
Trigonometric ratios: csc, sec, and cot

3
Trigonometric ratios in similar right triangles

4
Trigonometric functions of complementary angles

5
Find trigonometric functions of special angles

6
Find trigonometric functions using a calculator

7
Inverses of trigonometric functions

8
Trigonometric ratios: find a side length

9
Trigonometric ratios: find an angle measure

10
Solve a right triangle

11
Law of Sines

12
Law of Cosines

13
Solve a triangle

14
Area of a triangle: sine formula

15
Area of a triangle: Law of Sines

S. Area and perimeter

1
Perimeter

2
Area of rectangles and squares

3
Area of parallelograms and triangles

4
Area of trapezoids

5
Area and perimeter in the coordinate plane I

6
Area and perimeter in the coordinate plane II

7
Area and circumference of circles

8
Area of compound figures

9
Area between two shapes

10
Area and perimeter of similar figures

11
Perimeter and area: changes in scale

12
Heron's formula

13
Area and perimeter mixed review

T. Surface area and volume

1
Introduction to surface area and volume

2
Surface area of prisms and cylinders

3
Surface area of pyramids and cones

4
Surface area of spheres

5
Volume of prisms and cylinders

6
Volume of pyramids and cones

7
Volume of spheres

8
Introduction to similar solids

9
Surface area and volume of similar solids

10
Surface area and volume: changes in scale

11
Perimeter, area, and volume: changes in scale

12
Surface area and volume review

U. Circles

1
Parts of a circle

2
Central angles and arc measures

3
Arc length

4
Convert between radians and degrees

5
Radians and arc length

6
Area of sectors

7
Circle measurements: mixed review

8
Arcs and chords

9
Tangent lines

10
Perimeter of polygons with an inscribed circle

11
Inscribed angles

12
Angles in inscribed right triangles

13
Angles in inscribed quadrilaterals I

14
Angles in inscribed quadrilaterals II

15
Construct a tangent line to a circle

16
Construct an equilateral triangle inscribed in a circle

17
Construct a square inscribed in a circle

18
Construct a regular hexagon inscribed in a circle

19
Construct the inscribed or circumscribed circle of a triangle

V. Circles and parabolas in the coordinate plane

1
Find the center of a circle

2
Find the radius or diameter of a circle

3
Write equations of circles in standard form from graphs

4
Write equations of circles in standard form using properties

5
Convert equations of circles from general to standard form

6
Find properties of circles from equations in general form

7
Graph circles from equations in standard form

8
Graph circles from equations in general form

9
Find the vertex of a parabola

10
Find the focus or directrix of a parabola

11
Find the axis of symmetry of a parabola

12
Write equations of parabolas in vertex form from graphs

13
Write equations of parabolas in vertex form using properties

14
Convert equations of parabolas from general to vertex form

15
Find properties of a parabola from equations in general form

16
Graph parabolas

W. 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

X. 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
Independence and conditional probability

13
Find conditional probabilities using two-way frequency tables

14
Geometric probability

15
Find probabilities using the addition rule

Y. 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