Geometry Regents Exam - June 2023

Geometry Regents New York State Exam - June 2023

Geometry Regents New York State Exam Questions June 2023 (pdf)

Geometry Regents Exam June 2023 (Solutions 1 - 24)

Geometry Regents Exam June 2023 (Solutions 25 - 35)

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1. A square pyramid is intersected by a plane passing through the vertex and perpendicular to the base. Which two-dimensional shape describes this cross section?
2. Trapezoid ABCD is drawn such that AB||DC. Trapezoid A’B’C’D’ is the image of trapezoid ABCD after a rotation of 110° counterclockwise about point P.
3. What is the volume of a right circular cone that has a height of 7.2 centimeters and a radius of 2.5 centimeters, to the nearest tenth of a cubic centimeter?
4. In the diagram below of right triangle SUN, where ∠N is a right angle, SU = 13.6 and SN = 12.3.
5. In the diagram below of circle O, diameter AOB and chord CB are drawn, and m∠B = 28°.
6. In the diagram below of parallelogram ABCD, diagonal BED and EF are drawn, EF ⊥ DFC, m∠DAB = 111°, and m∠DBC = 39°.
7. In the diagram below of △ACT, ES is drawn parallel to AT such that E is on CA and S is on CT.
8. On the set of axes below, congruent triangles ABC and DEF are drawn.
9. An equation of circle M is x² + y² + 6x - 2y + 1 = 0. What are the coordinates of the center and the length of the radius of circle M?
10. Parallelogram BETH, with diagonals BT and HE, is drawn below.
11. A gardener wants to buy enough mulch to cover a rectangular garden that is 3 feet by 10 feet. One bag contains 2 cubic feet of mulch and costs $3.66. How much will the minimum number of bags cost to cover the garden with mulch 3 inches deep?
12. In the diagram below,
13. On the set of axes below, △DEF is the image of △ABC after a dilation of scale factor 1/3.
14. In the diagram below of isosceles triangle AHE with the vertex angle at H,
15. Rectangle ABCD has two vertices at coordinates A(-1,-3) and B(6,5). The slope of BC is
16. In right triangle ABC, m∠A = 90°, m∠B = 18°, and AC = 8. To the nearest tenth, the length of BC is
17. The measure of one of the base angles of an isosceles triangle is 42°. The measure of an exterior angle at the vertex of the triangle is
18. In the diagram below
19. The line whose equation is 6x + 3y = 3 is dilated by a scale factor of 2 centered at the point (0,0). An equation of its image is
20. Which figure will not carry onto itself after a 120-degree rotation about its center?
21. Triangle ADF is drawn
22. In △ABC, M is the midpoint of AB and N is the midpoint of AC. If MN = x + 13 and BC = 5x - 1, what is the length of MN?
23. In the diagram below of isosceles trapezoid STAR,
24. The endpoints of AB are A(0,4) and B(–4,6). Which equation of a line represents the perpendicular bisector of AB?
25. In △ABC below, use a compass and straightedge to construct the altitude from C to AB
26. Triangles ABC and DEF are graphed on the set of axes below.
27. Line segment PQ has endpoints P(–5,1) and Q(5,6), and point R is on PQ. Determine and state the coordinates of R, such that PR:RQ 5 2:3.
28. A circle has a radius of 6.4 inches. Determine and state, to the nearest square inch, the area of a sector whose arc measures 80°.
29. A large snowman is made of three spherical snowballs with radii of 1 foot, 2 feet, and 3 feet, respectively. Determine and state the amount of snow, in cubic feet, that is used to make the snowman.
30. In the diagram below of right triangle ACB, altitude CD is drawn to hypotenuse AB, AD = 2 and AC = 6.
31. Triangle RST has vertices with coordinates R(-3,-2), S(3,2) and T(4,-4). Determine and state an equation of the line parallel to RT that passes through point S.
32. Cape Canaveral, Florida is where NASA launches rockets into space. As modeled in the diagram below, a person views the launch of a rocket from observation area A, 3280 feet away from launch pad B. After launch, the rocket was sighted at C with an angle of elevation of 15°. The rocket was later sighted at D with an angle of elevation of 31°.
33. A small can of soup is a right circular cylinder with a base diameter of 7 cm and a height of 9 cm. A large container is also a right circular cylinder with a base diameter of 9 cm and a height of 13 cm. Determine and state the volume of the small can and the volume of the large container to the nearest cubic centimeter
34. Parallelogram MATH has vertices M(-7,-2), A(0,4), T(9,2), and H(2,-4). Prove that parallelogram MATH is a rhombus
35. Given: Quadrilateral ABCD,

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