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Geometry

Master Geometry

Aligned with Wisconsin DPI standards · 692 video lessons · 677 practice problems

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Join 1,500+ Wisconsin students mastering high school Geometry with unlimited practice and expert video teaching

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Wisconsin Geometry: Master High School Geometry OnlineHelp

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ID

Standard

StudyPug Topic

CC.HSG.CO.A.1

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.

CC.HSG.CO.A.2

Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not.

CC.HSG.CO.A.3

Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.

CC.HSG.CO.B.6

Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.

CC.HSG.CO.B.7

Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of sides and corresponding pairs of angles are congruent.

CC.HSG.CO.B.8

Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.

CC.HSG.CO.C.10

Prove theorems about triangles.

CC.HSG.CO.C.11

Prove theorems about parallelograms.

CC.HSG.CO.D.12

Make formal geometric constructions with a variety of tools and methods.

CC.HSG.CO.D.13

Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.

CC.HSG.SRT.A.1

Verify experimentally the properties of dilations given by a center and a scale factor.

CC.HSG.SRT.A.2

Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.

CC.HSG.SRT.B.5

Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.

CC.HSG.SRT.C.6

Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.

CC.HSG.SRT.C.7

Explain and use the relationship between the sine and cosine of complementary angles.

CC.HSG.C.A.1

Prove that all circles are similar.

CC.HSG.C.A.2

Identify and describe relationships among inscribed angles, radii, and chords.

CC.HSG.C.A.3

Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.

CC.HSG.C.A.4

Construct a tangent line from a point outside a given circle to the circle.

CC.HSG.C.B.5

Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.

CC.HSG.GPE.A.1

Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.

CC.HSG.GPE.A.2

Derive the equation of a parabola given a focus and directrix.

CC.HSG.GPE.A.3

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.

CC.HSG.GPE.B.5

Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems.

CC.HSG.GPE.B.6

Find the point on a directed line segment between two given points that partitions the segment in a given ratio.

CC.HSG.GPE.B.7

Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.

CC.HSG.GMD.A.1

Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone.

CC.HSG.GMD.A.3

Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.

CC.HSG.GMD.B.4

Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.

CC.HSG.MG.A.1

Use geometric shapes, their measures, and their properties to describe objects.

CC.HSG.MG.A.2

Apply concepts of density based on area and volume in modeling situations.

CC.HSA.SSE.A.1

Interpret expressions that represent a quantity in terms of its context.

CC.HSA.SSE.B.3

Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.

CC.HSA.CED.A.1

Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.

CC.HSA.CED.A.2

Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

CC.HSA.CED.A.3

Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context.

CC.HSA.CED.A.4

Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.

CC.HSA.REI.C.7

Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically.

CC.HSS.ID.B.6

Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.
Complete Geometry Coverage for Wisconsin Students

Topics

108

Video Lessons

692

Practice Questions

617

Study Hours

24/7

Why Wisconsin Geometry Students Love StudyPug

Built specifically for Wisconsin high school success

Wisconsin Curriculum Aligned
Wisconsin Curriculum Aligned

Every lesson matches Wisconsin DPI Geometry standards—what you learn in class, we teach

ACT Math Prep
ACT Math Prep

Practice with geometry questions formatted for the ACT—be ready for test day

Expert Teachers
Expert Teachers

Learn from expert Wisconsin teachers who know exactly what you need for Geometry

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Learn Anywhere

Desktop, tablet, or phone—your Geometry lessons sync across all devices

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Common Questions About Mastering Geometry

Everything you need to know about mastering Geometry with StudyPug

What does Geometry coverage include?

Our Geometry course covers all Wisconsin DPI standards: congruence and transformations, similarity and right triangles, circles and coordinate geometry, surface area and volume of 3D shapes, trigonometric ratios, and geometric proofs. You'll find 115 topics, 692 video lessons, and 677 practice questions covering everything from basic transformations to advanced circle theorems and conic sections.

How does photo search work for Geometry problems?

Snap a photo of any Geometry problem from your homework or textbook. Our AI instantly identifies the topic—whether it's congruent triangles, circle proofs, or coordinate geometry—and shows you the exact video lesson and practice questions you need. It works with diagrams, proofs, word problems, and equations. Most students find their answer in under 30 seconds.

How many Geometry practice problems are available?

You get unlimited access to 677 practice questions covering every Geometry topic. Each question includes step-by-step solutions showing exactly how to solve it. Practice adapts to your level—if you're struggling with triangle congruence proofs, you'll get more foundational practice. If you're mastering circle theorems, you'll get more challenging problems to keep improving.

What if I'm falling behind in Geometry?

Start with our diagnostic assessment to identify exactly where you need help. Then focus on those specific topics with targeted video lessons and practice. Most students catch up within 2-3 weeks of focused practice. The photo search feature is perfect for getting unstuck on homework when you're behind. You can learn at your own pace and revisit any concept as many times as you need.

Does StudyPug help with Geometry exams and the ACT?

Yes! Our Geometry course prepares you for both classroom exams and standardized tests like the ACT. Practice questions mirror the format and difficulty of typical Geometry tests. We also include ACT-style geometry questions covering coordinate geometry, trigonometry, and spatial reasoning. Many Wisconsin students use StudyPug specifically for ACT Math prep alongside their regular Geometry coursework.

How much does StudyPug cost?

StudyPug offers flexible monthly and annual plans starting at less than the cost of a single tutoring session. You get unlimited access to all Geometry content plus every other math course from Grade 3 through university calculus. Most students save hundreds compared to traditional tutoring while getting help available 24/7. Start with a free trial to explore all features risk-free before committing.

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