NY Regents Geometry study guide
NY Regents Geometry · Work through your exam, one topic at a time.
The Geometry Regents Examination is a New York State Regents exam in mathematics, administered through the New York State Education Department (NYSED), which lists Regents Exams among its Assessments and the Next Generation Learning Standards among its Popular Topics. It is intended for New York high school students who have completed a geometry course aligned to the state's mathematics standards. The NY Regents Geometry study guide has 6 sections and about 2,383 words.
01Congruence
The Congruence domain tests whether you can justify that two figures are exactly the same size and shape using rigid motions and triangle congruence criteria. On the Regents Geometry exam, expect transformation descriptions, proofs, constructions, and questions about isosceles triangles and parallel lines.
370 words, about 2 min02Similarity, Right Triangles, and Trigonometry
This domain tests proportional reasoning with similar figures, the Pythagorean theorem, special right triangles, and right-triangle trigonometry, including applications with angles of elevation and depression. Triangles are similar by AA, SSS similarity, or SAS similarity.
387 words, about 2 min03Circles
The Circles domain tests angle and segment relationships in circles, arc and chord properties, tangents, and cyclic quadrilaterals. Regents questions often combine a diagram-free description with a short computation or a justification.
395 words, about 2 min04Expressing Geometric Properties with Equations
This domain tests coordinate geometry: distance, midpoint, slope, equations of lines and circles, and classifying figures from coordinates. Distance: d equals the square root of (x2 minus x1) squared plus (y2 minus y1) squared.
419 words, about 2 min05Geometric Measurement and Dimension
This domain tests area, surface area, volume, cross-sections, and scaling for two- and three-dimensional figures. Regents items often involve composite solids, density, or comparing a solid to its model.
418 words, about 2 min06Modeling with Geometry
This domain asks you to choose and apply geometric formulas in context: capacity, density, cost, design, scale drawings, and indirect measurement. The mathematics is familiar, but the setup and units decide the answer.
394 words, about 2 min