Will this help with my child's high school Geometry homework?

Yes. StudyPug covers every Texas TEKS Geometry topic, from coordinate geometry and transformations to circle theorems and probability, so students can find help for any assignment they bring home.

How long are the video lessons?

Most video lessons run between five and fifteen minutes, focusing on one concept at a time. Students can pause, rewind, and rewatch as many times as they need before moving on to practice problems.

Is there a state test for high school Geometry in Texas?

Texas students take the STAAR End-of-Course assessment in Geometry. StudyPug lessons are aligned to the Texas TEKS so students are practicing the exact skills assessed on that exam.

Can my child use StudyPug on a tablet or phone?

Yes. StudyPug works on tablets, phones, and computers, so your student can watch lessons and complete practice problems at home, at school, or on the go without any special software.

Can I try StudyPug before paying?

Yes. StudyPug offers free sample lessons so you can explore the content before subscribing. Every paid plan also comes with a 30-day money-back guarantee if you are not satisfied.

TX High School Geometry Curriculum

Give your student the support they need to keep up with Texas high school Geometry. Lessons and practice problems follow the Texas TEKS so every topic covered in class is covered here.

TX High School Geometry Curriculum

IDStrand & ExpectationStudyPug Topic

TX.G.2.ADetermine the coordinates of a point that is a given fractional distance less than one from one end of a line segment to the other in one- and two-dimensional coordinate systems, including finding the midpoint
- Midpoint formula: $M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)$
TX.G.2.BDerive and use the distance, slope, and midpoint formulas to verify geometric relationships, including congruence of segments and parallelism or perpendicularity of pairs of lines
- Distance formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
- Slope equation: $m = \frac{y_2-y_1}{x_2- x_1}$
- Parallel and perpendicular lines in linear functions
TX.G.2.CDetermine an equation of a line parallel or perpendicular to a given line that passes through a given point
- Parallel line equation
- Perpendicular line equation
- Combination of both parallel and perpendicular line equations
TX.G.3.ADescribe and perform transformations of figures in a plane using coordinate notation
- Transformations of functions: Horizontal translations
- Transformations of functions: Vertical translations
- Rotational symmetry and transformations
TX.G.3.BDetermine the image or pre-image of a given two-dimensional figure under a composition of rigid transformations, a composition of non-rigid transformations, and a composition of both
- Combining transformations of functions
- Enlargements and reductions with scale factors
TX.G.3.CIdentify the sequence of transformations that will carry a given pre-image onto an image on and off the coordinate plane
- Scale diagrams
TX.G.3.DIdentify and distinguish between reflectional and rotational symmetry in a plane figure
- Reflection across the y-axis: y = f(-x)
- Reflection across the x-axis: y = -f(x)
- Line symmetry
TX.G.4.ADistinguish between undefined terms, definitions, postulates, conjectures, and theorems
- Inductive reasoning
- Deductive reasoning
TX.G.4.BIdentify and determine the validity of the converse, inverse, and contrapositive of a conditional statement and recognize the connection between a biconditional statement and a true conditional statement with a true converse
- Inverses, converses, and contrapositives
- Conditionals
- Biconditionals
TX.G.4.DCompare geometric relationships between Euclidean and spherical geometries, including parallel lines and the sum of the angles in a triangle
- Algebraic proofs
TX.G.5.AInvestigate patterns to make conjectures about geometric relationships, including angles formed by parallel lines cut by a transversal, criteria required for triangle congruence, special segments of triangles, diagonals of quadrilaterals, interior and exterior angles of polygons, and special segments and angles of circles choosing from a variety of tools
- Parallel lines and transversals
- Congruence and congruent triangles
- Pairs of lines and angles
- Perpendicular line proofs
TX.G.5.DVerify the Triangle Inequality theorem using constructions and apply the theorem to solve problems
- Classifying triangles
TX.G.6.AVerify theorems about angles formed by the intersection of lines and line segments, including vertical angles, and angles formed by parallel lines cut by a transversal and prove equidistance between the endpoints of a segment and points on its perpendicular bisector and apply these relationships to solve problems
- Parallel line proofs
- Isosceles and equilateral triangles
TX.G.6.BProve two triangles are congruent by applying the Side-Angle-Side, Angle-Side-Angle, Side-Side-Side, Angle-Angle-Side, and Hypotenuse-Leg congruence conditions
- Triangles congruent by SSS proofs
- Triangles congruent by SAS and HL proofs
- Triangles congruent by ASA and AAS proofs
- Triangles
TX.G.6.CApply the definition of congruence, in terms of rigid transformations, to identify congruent figures and their corresponding sides and angles
- Rectangles
TX.G.6.DVerify theorems about the relationships in triangles, including proof of the Pythagorean Theorem, the sum of interior angles, base angles of isosceles triangles, midsegments, and medians, and apply these relationships to solve problems
- Combination of SohCahToa questions
- Pythagorean theorem
- Using the pythagorean relationship
- Applications of pythagorean theorem
TX.G.6.EProve a quadrilateral is a parallelogram, rectangle, square, or rhombus using opposite sides, opposite angles, or diagonals and apply these relationships to solve problems
- Classifying quadrilaterals
- Parallelograms
- Trapezoids, rhombi, and kites
- Polygons
- Complex polygons
TX.G.7.AApply the definition of similarity in terms of a dilation to identify similar figures and their proportional sides and the congruent corresponding angles
- Similar triangles
- Similar polygons
TX.G.8.BIdentify and apply the relationships that exist when an altitude is drawn to the hypotenuse of a right triangle, including the geometric mean, to solve problems
- Estimating square roots
TX.G.9.ADetermine the lengths of sides and measures of angles in a right triangle by applying the trigonometric ratios sine, cosine, and tangent to solve problems
- Use sine ratio to calculate angles and sides (Sin = o / h)
- Use cosine ratio to calculate angles and sides (Cos = a / h)
- Use tangent ratio to calculate angles and sides (Tan = o / a)
TX.G.9.BApply the relationships in special right triangles 30°-60°-90° and 45°-45°-90° and the Pythagorean theorem, including Pythagorean triples, to solve problems
- Solving expressions using 45-45-90 special right triangles
- Solving expressions using 30-60-90 special right triangles
TX.G.10.AIdentify the shapes of two-dimensional cross-sections of prisms, pyramids, cylinders, cones, and spheres and identify three-dimensional objects generated by rotations of two-dimensional shapes
- Surface area and volume of prisms
- Surface area and volume of pyramids
- Surface area and volume of cylinders
- Surface area and volume of cones
- Surface area and volume of spheres
- Surface area of 3-dimensional shapes
TX.G.10.BDetermine and describe how changes in the linear dimensions of a shape affect its perimeter, area, surface area, or volume, including proportional and non-proportional dimensional change
- Upper and lower bound
TX.G.11.BDetermine the area of composite two-dimensional figures comprised of a combination of triangles, parallelograms, trapezoids, kites, regular polygons, or sectors of circles to solve problems using appropriate units of measure
- Areas and sectors of circles
TX.G.11.CApply the formulas for the total and lateral surface area of three-dimensional figures, including prisms, pyramids, cones, cylinders, spheres, and composite figures, to solve problems using appropriate units of measure
- Introduction to surface area of 3-dimensional shapes
- Nets of 3-dimensional shapes
TX.G.11.DApply the formulas for the volume of three-dimensional figures, including prisms, pyramids, cones, cylinders, spheres, and composite figures, to solve problems using appropriate units of measure
- Introduction to volume
TX.G.12.AApply theorems about circles, including relationships among angles, radii, chords, tangents, and secants, to solve non-contextual problems
- Central angles and proofs
- Inscribed angles and proofs
- Central and inscribed angles in circles
- Angles in a circle
- Chord properties
- Tangent properties
- Circles and circumference
TX.G.12.BApply the proportional relationship between the measure of an arc length of a circle and the circumference of the circle to solve problems
- Arcs of a circle
- Circle chord, tangent, and inscribed angles proofs
TX.G.12.DDescribe radian measure of an angle as the ratio of the length of an arc intercepted by a central angle and the radius of the circle
- Converting between degrees and radians
- Trigonometric ratios of angles in radians
- Radian measure and arc length
TX.G.12.EShow that the equation of a circle with center at the origin and radius r is x^2 + y^2 = r^2 and determine the equation for the graph of a circle with radius r and center (h, k), (x - h)^2 + (y - k)^2 = r^2
- Conics - Circle
TX.G.13.ADevelop strategies to use permutations and combinations to solve contextual problems
- Permutations
- Combinations
- Problems involving both permutations and combinations
TX.G.13.BDetermine probabilities based on area to solve contextual problems
- Probability
TX.G.13.CIdentify whether two events are independent and compute the probability of the two events occurring together with or without replacement
- Addition rule for
- Multiplication rule for
- Probability of independent events
TX.G.13.DApply conditional probability in contextual problems
- Conditional probability
- Probability with Venn diagrams
TX.G.13.EApply independence in contextual problems
- Probability involving permutations and combinations
- Determining probabilities using tree diagrams and tables

Geometry

About High School Texas Geometry

Texas high school Geometry follows the Texas TEKS, covering coordinate geometry, transformations, logical reasoning, congruence and similarity, right-triangle trigonometry, two- and three-dimensional measurement, circle relationships, and probability. StudyPug provides step-by-step video lessons and practice problems aligned to every TEKS strand so students can build confidence at their own pace.

Coordinate geometry, transformations, congruence, similarity, trigonometry, measurement, circles, and probability
Video lessons for every Texas TEKS Geometry topic
Practice problems and worked examples matched to each strand
Content aligned to the Texas TEKS Geometry standards

Curriculum topics by strand

Browse lessons and practice problems organized by Texas TEKS Geometry strand.

Topic includes:

Practice

Video

Quiz

Strand & Expectation

StudyPug Topic

TX High School Geometry Topics

Coordinate Geometry: Fractional distances along segments, midpoint and distance formulas, slope, and equations of parallel and perpendicular lines.
Transformations: Rigid and non-rigid transformations using coordinate notation, compositions of transformations, and reflectional and rotational symmetry.
Logical Reasoning and Proof: Undefined terms, postulates, conjectures, theorems, conditional statements, counterexamples, and comparisons between Euclidean and spherical geometries.
Congruence: Triangle congruence conditions (SSS, SAS, ASA, AAS, HL), congruence via rigid transformations, and theorems about lines, angles, triangles, and quadrilaterals.
Similarity: Dilations, Angle-Angle criterion, Triangle Proportionality theorem, and geometric mean from the altitude to the hypotenuse.
Right Triangle Trigonometry: Sine, cosine, and tangent ratios; special right triangles (30-60-90 and 45-45-90); and the Pythagorean theorem including Pythagorean triples.
Two- and Three-Dimensional Measurement: Cross-sections of solids, dimensional change, area of regular polygons and composite figures, and surface area and volume of prisms, pyramids, cylinders, cones, spheres, and composite figures.
Circles: Angles, radii, chords, tangents, secants, arc length, sector area, radian measure, and equations of circles.
Probability: Permutations, combinations, area-based probability, independent events, conditional probability, and independence.

How StudyPug Helps TX High School Geometry Students

When a Texas student gets stuck on a Geometry proof or a trigonometry problem, StudyPug lets them go back to the exact concept, watch a clear step-by-step video lesson, and then work through practice problems until the idea clicks. Every lesson is matched to the Texas TEKS so nothing covered in class is missing from the platform.

Students who fall behind or want to get ahead can move through strands at their own pace, revisiting earlier material like coordinate geometry or transformations before building toward more advanced topics such as circle theorems and probability.

Aligned to TX High School Geometry Curriculum

All StudyPug Geometry content is organized around the Texas TEKS for Geometry, ensuring that every strand a student encounters on an assignment or the STAAR End-of-Course assessment is covered with the same language and structure their Texas classroom uses.

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Written by the StudyPug Math Team

Last updated June 5, 2026

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