Overview
This document is the January 2024 New York State Regents Geometry Exam, outlining instructions, question formats, required tools, and the breakdown of exam sections and sample problems.
Exam Structure and Instructions
- Exam is divided into four parts, totaling 35 questions.
- Part I: 24 multiple-choice questions, record answers on a separate sheet.
- Parts II, III, IV: Written response questions, answer directly in the booklet with full work shown.
- Use only a graphing calculator, straightedge, and compass; scrap paper is not permitted.
- Diagrams are not necessarily to scale.
- A formula sheet and scrap graph paper are provided at the end.
Tools and Materials
- Required: graphing calculator, straightedge (ruler), and compass.
- Use pencil for graphs/drawings; pen for written answers.
- No communication devices allowed; violation invalidates the exam.
Answering Protocols
- Print name and school on the booklet.
- Complete student info as instructed on the answer sheet.
- Sign declaration of exam integrity at the end.
- Clearly show all steps for partial credit, especially in Parts II-IV.
- Use provided blank space in the booklet for scrap work.
Content and Sample Questions Summary
- Trigonometric ratios and relationships in triangles (e.g., sin 30° = cos 60°).
- Application problems involving area, perimeter, and volume (ex: covering a roof, filling a sandbox).
- Properties of geometric shapes: triangles, rectangles, parallelograms, circles, and cylinders.
- Rigid motions (translations, rotations, reflections) and their effects on figures.
- Coordinate geometry: distance, midpoint, equations of lines.
- Similarity and congruence conditions for triangles.
- Proof strategies for properties of quadrilaterals, such as parallelograms, rhombuses, and rectangles.
- Application of the Pythagorean theorem and trigonometric functions to solve real-world and geometric problems.
Key Terms & Definitions
- Rigid Motions — Movements that preserve shape and size (translations, rotations, reflections).
- Scale Factor — Ratio by which a figure is enlarged or reduced in a dilation.
- Congruent — Figures that are exactly equal in shape and size.
- Similar — Figures with equal angles and proportional sides.
- Trapezoid — Quadrilateral with exactly one pair of parallel sides.
- Rhombus — Parallelogram with all sides equal in length.
- Hypotenuse — The longest side in a right triangle, opposite the right angle.
- Altitude — A perpendicular segment from a vertex to the opposite side or its extension.
- Sector — Portion of a circle enclosed by two radii and their intercepted arc.
Action Items / Next Steps
- Review formula sheet at the end of the exam booklet.
- Prepare necessary materials (calculator, straightedge, compass) ahead of the test.
- Practice constructing geometric proofs and using rigid motions.
- Complete practice problems involving trigonometry, area, volume, and coordinate geometry.