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Arizona High School Geometry | 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 Arizona Geometry Coverage

Topics

108

Videos

692

Practice Questions

617

Avg. Video Length

3-7 min

Why Arizona Geometry Students Love StudyPug

Built specifically for Arizona high school success

Arizona Curriculum Aligned
Arizona Curriculum Aligned

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

Graduation Assessment Prep
Graduation Assessment Prep

Practice with Arizona graduation assessment questions—be ready for exam day

Certified Arizona Teachers
Certified Arizona Teachers

Learn from expert Arizona 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 Arizona Geometry coverage include?

Our Arizona Geometry course covers all Common Core standards: transformations and congruence, triangle and circle proofs, similarity and trigonometry, coordinate geometry with equations of lines and circles, and 3D shapes with surface area and volume. You'll master 115 topics across 692 video lessons with 677 practice questions—everything from basic transformations to advanced proofs and trigonometric applications.

How does photo search work for Geometry problems?

Snap a photo of any geometry problem from your homework or textbook, and our AI instantly identifies the topic and shows you the exact lesson you need. It works with diagrams, proofs, word problems, and equations. You'll see step-by-step video explanations and similar practice questions. It's like having a geometry tutor available 24/7 who knows exactly what you're stuck on.

How many Geometry practice problems are available?

You get 677 practice questions for Arizona Geometry, covering every standard from transformations to 3D shapes. Each question includes step-by-step solutions so you can see exactly where you went wrong. Questions are organized by topic, so you can focus practice on weak areas like proofs or trigonometry. Plus, our adaptive system adjusts difficulty based on your performance to keep you challenged.

What if I'm falling behind in Geometry?

Start with our diagnostic assessment to identify exactly which geometry concepts you need to review—whether it's transformations, triangle congruence, or coordinate geometry. Watch targeted video lessons at your own pace, pause and rewind as needed. Practice similar problems until concepts click. Many students catch up within 2-3 weeks by focusing 20-30 minutes daily on their specific weak spots.

Does StudyPug help with Arizona Geometry exams?

Yes! Our content aligns with Arizona Common Core Geometry standards and includes practice with graduation assessment question types. You'll master proofs, transformations, trigonometry, and coordinate geometry—all tested on Arizona exams. Use our quizzes to simulate test conditions, and track your progress to identify topics needing review before exam day. Many students improve their geometry grades by a full letter or more.

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. You get unlimited access to all 692 Geometry videos, 677 practice questions, photo search, and progress tracking. Annual plans include significant savings. Most students see grade improvements within the first month, making it one of the most cost-effective ways to master high school geometry.

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