Geometry Regents Exam - January 2023 (videos, solutions, questions) (2024)

Geometry Regents New York State Exam - January 2023

Geometry Regents Exam January 2023 (Solutions 1 - 24)

Geometry Regents Exam January 2023 (Solutions 25 - 35)

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  1. In the diagram below, a line reflection followed by a rotation maps△ABC onto △DEF.
  2. A circle is continuously rotated about its diameter. Which three dimensional object will be formed?
  3. In the diagram below of △CER
  4. Right triangle ABC is shown below
  5. In the diagram of △ABC below, AE bisects angle BAC, and altitude BD is drawn.
  6. A jewelry company makes copper heart pendants. Each heart uses0.75 in3 of copper and there is 0.323 pound of copper per cubic inch.If copper costs $3.68 per pound, what is the total cost for 24 copperhearts?
  7. In right triangle LMN shown below, m∠M = 90°, MN = 12, andLM = 16.
  8. In △ABC below, DE is drawn such that D and E are on AB and AC, respectively.
  9. Which polygon does not always have congruent diagonals?
  10. If the circumference of a standard lacrosse ball is 19.9 cm, what isthe volume of this ball, to the nearest cubic centimeter?
  11. Which polygon always has a minimum rotation of 180° about itscenter to carry it onto itself?
  12. Circle O is drawn below with secant BCD. The length of tangent AD is 24.
  13. The equation of a line is 3x - 5y = 8. All lines perpendicular to thisline must have a slope of
  14. In the diagram below of right triangle MDL, altitude DG is drawnto hypotenuse ML.
  15. In parallelogram ABCD shown below,EB bisects ∠ABC
  16. Segment AB is the perpendicular bisector of CD at point M.Which statement is always true?
  17. In the diagram below of circle O, AC and BC are chords, andm∠ACB = 70°.
  18. Quadrilateral BEST has diagonals that intersect at point D. Whichstatement would not be sufficient to prove quadrilateral BEST is aparallelogram?
  19. The equation of line t is 3x - y = 6. Line m is the image of line tafter a dilation with a scale factor of 1/2 centered at the origin.What is an equation of line m?
  20. A cylindrical pool has a diameter of 16 feet and height of 4 feet.The pool is filled to 1/2 foot below the top. How much water does thepool contain, to the nearest gallon?
  21. The area of △TAP is 36 cm2. A second triangle, JOE, is formed byconnecting the midpoints of each side of △TAP. What is the area of△JOE, in square centimeters?
  22. On the set of axes below, the endpoints of AB have coordinates A(23,4) and B(5,2).
  23. In the circle below, AD, AC, BC, and DC are chords, EDF istangent at point D, and AD || BC.
  24. In the diagram below of △ABC, D and E are the midpoints of AB and AC, respectively, and DE is drawn
  25. Using a compass and straightedge, construct the angle bisector of ∠ABC.
  26. On the set of axes below, △ABC and △DEF are graphed.
  27. As shown in the diagram below, a symmetrical roof frame rises 4 feet above a house andhas a width of 24 feet.
  28. Directed line segment AB has endpoints whose coordinates are A(-2,5) and B(8,-1).Determine and state the coordinates of P, the point which divides the segment in theratio 3:2.
  29. In △ABC, AB = 5, AC = 12, and m∠A = 90°. In △DEF, m∠D = 90°,DF = 12, and EF = 13. Brett claims △ABC ≅ △DEF and △ABC ∼ △DEF.Is Brett correct? Explain why.
  30. The volume of a triangular prism is 70 in3. The base of the prism is a right triangle withone leg whose measure is 5 inches. If the height of the prism is 4 inches, determine andstate the length, in inches, of the other leg of the triangle.
  31. Triangle ABC with coordinates A(-2,5), B(4,2), and C(-8,-1) is graphed on the set of axesbelow.
  32. Sally and Mary both get ice cream from an ice cream truck. Sally’s ice cream is served as acylinder with a diameter of 4 cm and a total height of 8 cm. Mary’s ice cream is served as acone with a diameter of 7 cm and a total height of 12.5 cm. Assume that ice cream fillsSally’s cylinder and Mary’s cone.
  33. The coordinates of the vertices of quadrilateral HYPE are H(-3,6), Y(2,9), P(8,-1), and E(3,-4).Prove HYPE is a rectangle.
  34. Barry wants to find the height of a tree that is modeled in the diagram below, where ∠C is aright angle. The angle of elevation from point A on the ground to the top of the tree, H, is 40°.The angle of elevation from point B on the ground to the top of the tree, H, is 80°. Thedistance between points A and B is 85 feet.
  35. Given: Triangle DUC with coordinates D(-3,-1), U(-1,8), and C(8,6)


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Geometry Regents Exam - January 2023 (videos, solutions, questions) (2024)
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