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Geometry

Master Geometry

Aligned with New Jersey Student Learning Standards

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How StudyPug Helps You Master Geometry

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Master Geometry | Study Guide for New Jersey StudentsHelp

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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 New Jersey High School Students

Topics

108

Video Lessons

692

Practice Questions

617

Real Students

12,000+

Why New Jersey Geometry Students Love StudyPug

Built specifically for New Jersey high school success

New Jersey Curriculum Aligned
New Jersey Curriculum Aligned

Every lesson matches New Jersey Student Learning Standards—what you learn in class, we teach

NJSLA Assessment Prep
NJSLA Assessment Prep

Practice with New Jersey high school assessment questions—be ready for exam day

Expert NJ Teachers
Expert NJ Teachers

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

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Frequently Asked Questions

Everything you need to know about mastering Geometry with StudyPug

What does Geometry coverage include?

Our Geometry course covers all New Jersey Student Learning Standards topics: congruence and transformations, triangle congruence proofs (SSS, SAS, ASA, AAS, HL), similarity and dilations, Pythagorean theorem applications, right triangle trigonometry (sine, cosine, tangent), circle properties (central angles, inscribed angles, chords, tangents), coordinate geometry (distance, midpoint, slope, parallel and perpendicular lines), conic sections (circles, parabolas, ellipses, hyperbolas), and 3D geometry (surface area and volume of prisms, cylinders, pyramids, cones, and spheres). You'll master 115 topics across 692 video lessons with 677 practice questions—everything you need for class success and exam prep.

How does photo search work?

Snap a photo of any Geometry problem from your homework or textbook using your phone. Our AI instantly analyzes the problem and matches it to the exact video lesson you need. Whether it's a triangle congruence proof, circle theorem, or trig word problem, you'll get step-by-step instruction in seconds. No more flipping through chapters trying to find help—just point, snap, and learn. It works with handwritten problems, textbook questions, and even test prep materials. The photo search feature is available 24/7 on desktop, tablet, and mobile devices, so you can get unstuck whenever you need help.

How many practice problems are available?

You get unlimited access to 677 practice questions covering every Geometry topic in the New Jersey curriculum. Each question includes complete step-by-step solutions so you can learn from your mistakes. Practice problems span all difficulty levels—from basic concept checks to challenging multi-step proofs and applications. Questions are organized by topic (congruence, similarity, circles, trigonometry, coordinate geometry, 3D shapes) so you can focus practice exactly where you need it. You can retake quizzes as many times as you want until concepts stick. The adaptive practice system identifies your weak spots and recommends targeted questions to improve faster.

What if I'm falling behind in Geometry?

StudyPug is perfect for catching up. Start with our diagnostic assessment to identify exactly which topics need work—whether it's triangle proofs, circle theorems, or trigonometry. Watch video lessons at your own pace, pausing and rewatching as many times as you need. Each concept is broken down into clear, manageable steps with real examples. Work through practice problems with instant feedback and step-by-step solutions. You can focus on specific weak areas or review entire units before tests. Thousands of New Jersey students have used StudyPug to catch up and get ahead. With 24/7 access, you can study whenever it fits your schedule—before school, during study hall, or late at night.

Does StudyPug help with Geometry exams?

Yes! StudyPug prepares you for all Geometry assessments including chapter tests, midterms, final exams, and the New Jersey Student Learning Assessment (NJSLA). Practice with hundreds of exam-style questions covering proofs, constructions, transformations, trigonometry, circles, and coordinate geometry. Video lessons teach problem-solving strategies specifically for test situations. Review key formulas, theorems, and proof techniques that appear most frequently on exams. The adaptive practice system identifies weak areas so you can focus study time where it matters most. Many New Jersey students report grade improvements of one or two letter grades after using StudyPug for exam preparation.

How much does StudyPug cost?

StudyPug offers flexible plans starting at just a few dollars per day—less than a single tutoring session. You get unlimited access to all 692 Geometry video lessons, 677 practice questions, photo search, progress tracking, and expert support. Plans include full access to other high school math courses too (Algebra I, Algebra II, Pre-Calculus, Calculus) so you're covered for your entire high school career. We offer monthly and annual subscriptions with significant savings on longer plans. Try StudyPug risk-free and see why over 12,000 New Jersey students choose us for math help. No hidden fees, cancel anytime, and access from any device.

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