NY High School Geometry Curriculum
Give your high schooler the support they need to keep up with New York Geometry. Every strand is covered with clear lessons and practice problems matched to what their class is teaching.
About High School New York Geometry
New York Geometry follows the New York Next Generation Mathematics Learning Standards, organized around transformations, congruence, similarity, right triangle trigonometry, circles, coordinate geometry, and measurement with three-dimensional figures. Students work from precise geometric definitions through formal proofs and applied modeling. StudyPug provides video lessons, worked examples, and practice problems for every strand in this course, all aligned to the New York curriculum.
- Strands: transformations and symmetry, congruence and proofs, similarity and right triangle trigonometry, circles, coordinate geometry, and volume and modeling
- Video lessons with step-by-step worked examples for every Geometry topic
- Practice problems with instant feedback so students can check their understanding
- Fully aligned to the New York Next Generation Mathematics Learning Standards for high school Geometry
Curriculum topics by strand
Browse lessons and practice problems organized by strand, aligned to the New York Next Generation Mathematics Learning Standards for Geometry.
NY High School Geometry Topics
- Geometric definitions and foundations: Precise definitions of angles, circles, perpendicular and parallel lines, and line segments based on undefined notions of point, line, and distance.
- Transformations and symmetry: Rotations, reflections, and translations as geometric functions; symmetries of polygons; sequences of transformations.
- Congruence and proofs: Rigid motions, the definition of congruence, triangle congruence criteria (ASA, SAS, SSS, AAS, and HL), and theorems about lines, angles, triangles, and parallelograms.
- Geometric constructions: Formal constructions including inscribing equilateral triangles, squares, and regular hexagons in a circle.
- Similarity and dilations: Similarity transformations, dilation properties, AA, SSS, and SAS similarity criteria, and similarity theorems for triangles.
- Right triangle trigonometry: Sine, cosine, and tangent ratios; complementary angle relationships; the Pythagorean Theorem; special right triangles; and applied problem solving.
- Circles: Arc and angle relationships, radii, chords, tangents, secants, arc length and sector area, and circle equations on the coordinate plane.
- Coordinate geometry: Algebraic proofs of geometric theorems, slopes of parallel and perpendicular lines, partitioning segments, and computing perimeters and areas on the coordinate plane.
- Volume, modeling, and three-dimensional figures: Volume formulas for cylinders, pyramids, cones, and spheres; cross-sections of solids; density; and applying geometry to design problems.
How StudyPug Helps NY High School Geometry Students
When a student gets stuck on a congruence proof or a circle theorem, StudyPug breaks the concept down into short, focused video lessons that walk through each step clearly. After watching, students move straight into practice problems with instant feedback, so they can find and correct mistakes before the next class or assessment.
For Geometry topics that build on each other - such as moving from transformations to congruence to similarity - StudyPug lets students revisit earlier material at any point without losing their place in the current strand, keeping review and forward progress in the same place.
Aligned to NY High School Geometry Curriculum
Every lesson and practice problem in StudyPug's Geometry course is organized to match the New York Next Generation Mathematics Learning Standards, covering the same strands, in the same depth, that New York high school Geometry classes follow - so what students practice on StudyPug reinforces exactly what they are doing in school.
Written by the StudyPug Math Team
Last updated June 5, 2026
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