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Maine High School Geometry Course | StudyPugHelp

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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

Topics

108

Video Lessons

692

Practice Questions

617

Step Solutions

677

Why Maine Geometry Students Love StudyPug

Built specifically for Maine high school success

Maine Curriculum Aligned
Maine Curriculum Aligned

Every lesson matches Maine Common Core Geometry standards—what you learn in class, we teach

SAT Math Prep
SAT Math Prep

Practice with Geometry problems aligned to SAT—be ready for exam day

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Geometry Questions Answered

Everything you need to know about mastering Geometry with StudyPug

What does Geometry coverage include?

StudyPug covers all Common Core Geometry standards including congruence and transformations, similarity and trigonometry, circles and proofs, coordinate geometry, and 3D solids. You'll find 115 topics, 692 video lessons, and 677 practice questions covering everything from triangle congruence proofs to circle theorems, trigonometric ratios, coordinate proofs, and volume calculations—all aligned to Maine standards.

How does photo search work for Geometry problems?

Snap a photo of any Geometry problem from your homework or textbook using your phone. StudyPug's AI instantly identifies the concept—whether it's a proof, construction, or calculation—and shows you the exact video lesson that explains how to solve it. No more searching through dozens of videos to find what you need. It works for diagrams, proofs, word problems, and coordinate geometry.

How many Geometry practice problems are available?

StudyPug offers 677 practice questions for Geometry, each with step-by-step solutions. Every topic has multiple practice problems so you can work through similar questions until the concept sticks. You can retake quizzes as many times as you need, and the system adapts to focus on areas where you need more help. Practice covers everything from basic transformations to complex proofs.

What if I'm falling behind in Geometry?

StudyPug is designed for students at any level. If you're struggling, start with our diagnostic to identify exactly which concepts you need to review—whether it's angle relationships, triangle congruence, or coordinate geometry. Each video breaks down concepts into clear, manageable steps. You can pause, rewind, and rewatch lessons as many times as needed. The practice system adapts to your level and helps build confidence gradually.

Does StudyPug help with Geometry exams and SAT prep?

Yes. StudyPug prepares you for unit tests, semester exams, and standardized tests including the SAT Math section. Our Geometry content covers all topics tested on Maine assessments and SAT Math. Practice questions mirror real exam formats, including multiple choice and constructed response. You'll master key concepts like transformations, similarity, trigonometry, circle theorems, and coordinate proofs that appear on the SAT.

How much does StudyPug cost?

StudyPug offers flexible monthly and annual plans starting at just a few dollars per day—far less than traditional tutoring. All plans include unlimited access to every Geometry video lesson, photo search, practice questions, and progress tracking. You get complete coverage of all 115 topics with 692 video lessons. No contracts, cancel anytime. Many students see grade improvements within the first month.

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