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New York Geometry | Practice & Video Lessons | StudyPugHelp

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ID

Math Standard Description

StudyPug Topic

NY.GEO-G.CO.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 as these exist within a plane.

NY.GEO-G.CO.2

Represent transformations as geometric functions that take points in the plane as inputs and give points as outputs. Compare transformations that preserve distance and angle measure to those that do not.

NY.GEO-G.CO.3

Given a regular or irregular polygon, describe the rotations and reflections (symmetries) that carry the polygon onto itself.

NY.GEO-G.CO.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.

NY.GEO-G.CO.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.

NY.GEO-G.CO.8

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

NY.GEO-G.CO.10

Prove and apply theorems about triangles.

NY.GEO-G.CO.11

Prove and apply theorems about parallelograms.

NY.GEO-G.CO.12

Make, justify, and apply formal geometric constructions.

NY.GEO-G.CO.13

Make and justify the constructions for inscribing an equilateral triangle, a square and a regular hexagon in a circle.

NY.GEO-G.SRT.1

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

NY.GEO-G.SRT.2

Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar. Explain using similarity transformations that similar triangles have equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.

NY.GEO-G.SRT.5

Use congruence and similarity criteria for triangles to: a. Solve problems algebraically and geometrically. b. Prove relationships in geometric figures.

NY.GEO-G.SRT.6

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

NY.GEO-G.SRT.7

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

NY.GEO-G.SRT.8

Use sine, cosine, tangent, the Pythagorean Theorem and properties of special right triangles to solve right triangles in applied problems.

NY.GEO-G.SRT.9

Justify and apply the formula A= 1/2 ab sin (C) to find the area of any triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.

NY.GEO-G.C.1

Prove that all circles are similar.

NY.GEO-G.C.2a

Identify, describe and apply relationships between the angles and their intercepted arcs of a circle.

NY.GEO-G.C.2b

Identify, describe and apply relationships among radii, chords, tangents, and secants of a circle.

NY.GEO-G.C.5

Using proportionality, find one of the following given two others; the central angle, arc length, radius or area of sector.

NY.GEO-G.GPE.1a

Derive the equation of a circle of given center and radius using the Pythagorean Theorem. Find the center and radius of a circle, given the equation of the circle.

NY.GEO-G.GPE.1b

Graph circles given their equation.

NY.GEO-G.GPE.5

On the coordinate plane: a. Explore the proof for the relationship between slopes of parallel and perpendicular lines; b. Determine if lines are parallel, perpendicular, or neither, based on their slopes; and c. Apply properties of parallel and perpendicular lines to solve geometric problems.

NY.GEO-G.GPE.6

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

NY.GEO-G.GMD.1

Provide informal arguments for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone.

NY.GEO-G.GMD.3

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

NY.GEO-G.GMD.4

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

NY.GEO-G.MG.1

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

NY.GEO-G.MG.2

Apply concepts of density based on area and volume of geometric figures in modeling situations.
Complete Geometry Coverage

Topics

66

Video Lessons

451

Practice Questions

242

Expert Teachers

15+

Why New York Geometry Students Love StudyPug

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New York Curriculum Aligned
New York Curriculum Aligned

Every lesson matches New York State Learning Standards—what you learn in class, we teach

Regents Exam Prep
Regents Exam Prep

Practice with NY Regents Geometry exam questions—be ready for exam day

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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 York State Learning Standards including transformations and symmetry, line and angle relationships, triangle congruence (SSS, SAS, ASA, AAS, HL), similarity and proportions, right triangle trigonometry (SOH-CAH-TOA), circles (central angles, inscribed angles, chord properties, arcs, sectors), coordinate geometry (distance, midpoint, slope, parallel and perpendicular lines), polygons and quadrilaterals, and 3D solids (surface area and volume). With 72 topics, 451 video lessons, and 285 practice questions, you'll master everything needed for the NY Regents Geometry exam.

How does photo search work for Geometry problems?

Snap a photo of any Geometry problem from your homework or textbook using your phone or tablet. Our AI instantly identifies the topic—whether it's a circle theorem, triangle proof, or trigonometry question—and shows you the exact video lesson that teaches that concept. You can also search by typing keywords like 'inscribed angles' or 'Pythagorean theorem'. No more flipping through textbooks or guessing which section to review. Get the right help in seconds, exactly when you're stuck.

How many Geometry practice problems are available?

StudyPug offers 285 Geometry practice questions covering every major topic in the New York curriculum. Every practice problem includes step-by-step solutions so you can learn from your mistakes. Questions range from basic concepts like angle relationships to advanced topics like circle proofs and trigonometric applications. Practice is organized by topic, so you can focus on exactly what you need to improve, whether that's triangle congruence, coordinate geometry, or 3D solid calculations.

What if I'm falling behind in Geometry?

StudyPug is perfect for catching up. Start with the diagnostic to identify exactly which topics you're struggling with—maybe it's proofs, trigonometry, or circle theorems. Watch the video lessons for those specific topics at your own pace, pausing and rewinding as needed. Then practice similar problems until the concepts click. You can move as slowly or quickly as you need. Many students who were failing Geometry have caught up and even gotten ahead using our step-by-step approach. You're not alone, and it's never too late to improve.

Does StudyPug help with NY Regents Geometry exams?

Yes! Our Geometry course is specifically aligned to New York State Learning Standards and covers every topic tested on the NY Regents Geometry exam. We include Regents-style practice questions for constructions, proofs, transformations, trigonometry, and coordinate geometry. Our teachers explain exactly how to approach multi-step Regents problems, show common mistakes to avoid, and teach strategies for earning full credit on proof questions. Many New York students use StudyPug to prepare for the Regents and see significant score improvements.

How much does StudyPug cost?

StudyPug offers flexible plans starting at just a few dollars per month. You get unlimited access to all 451 Geometry video lessons, 285 practice questions, photo search, progress tracking, and expert teacher support. Plans include monthly and annual options, and you can cancel anytime. We also offer a free trial so you can explore the platform risk-free. Compare that to the cost of a single tutoring session ($40-80/hour), and StudyPug gives you unlimited help for a fraction of the price. Invest in your Geometry success today.

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