Geometry Regents Exam - August 2022

Geometry Regents New York State Exam - August 2022

Geometry Regents New York State Exam Questions August 2022 (pdf)

Geometry Regents Exam August 2022 (Solutions 1 - 24)

Geometry Regents Exam August 2022 (Solutions 25 - 35)

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1. In the diagram below, △ ABC is reflected over line ℓ to create △ DEF.
2. The diagram below shows triangle ABC with point X on side AB and point Y on side CB.
3. Quadrilateral MATH is congruent to quadrilateral WXYZ. Which statement is always true?
4. A quadrilateral has diagonals that are perpendicular but not congruent. This quadrilateral could be
5. Which regular polygon has a minimum rotation of 36° about its center that carries the polygon onto itself?
6. On the set of axes below, △ RST is the image of △ ABC after a dilation centered at point P.
7. In the diagram of △ ABC below, m ∠C = 90°, CB = 13, and AB = 16
8. The Pyramid of Memphis, in Tennessee, stands 107 yards tall and has a square base whose side is 197 yards long.
9. A square is graphed on the set of axes below, with vertices at (-1,2), (-1,-2), (3,-2), and (3,2).
10. If scalene triangle XYZ is similar to triangle QRS and m ∠X = 90°, which equation is always true?
11. A plane intersects a cylinder perpendicular to its bases.
12. An equation of line p is y = 1/3 x + 4. An equation of line q is y = 2/3 x + 8. Which statement about lines p and q is true?
13. The coordinates of the endpoints of SC are S(-7,3) and C(2,-6). If point M is on SC, what are the coordinates of M such that SM:MC is 1:2?
14. On the set of axes below, rectangle WIND has vertices with coordinates W(-4,2), I(4,0), N(3,-4), and D(-5,-2).
15. In parallelogram ABCD shown below, EB bisects ∠ABC
16. In right triangles ABC and RST, hypotenuse AB = 4 and hypotenuse RS = 16.
17. Parallelogram ABCD with diagonal DB is drawn below. Line segment EF is drawn such that it bisects DB at M.
18. In the diagram below of circle O, chords AD and BC intersect at E, and chords AB and CD are drawn.
19. What are the coordinates of the center and length of the radius of the circle whose equation is x² + y² - 12y - 20.25 = 0?
20. In the diagram below, ABCD is a rectangle, and diagonal BD is drawn. Line ℓ, a vertical line of symmetry, and line m, a horizontal line of symmetry, intersect at point E.
21. The diagram below models a countertop designed for a kitchen. The countertop is made of solid oak and is 3 inches thick.
22. In the diagram below of △ABC,
23. A circle centered at the origin passes through A(-3,4).
24. In the diagram below, quadrilateral ABCD is inscribed in circle O,
25. On the set of axes below
26. In right triangle MTH shown below
27. Using a compass and straightedge, dilate triangle ABC by a scale factor of 2 centered at C.
28. A rock-climbing wall at a local park has a right triangular section that slants toward the climber, as shown in the picture below. The height of the wall is 5 meters and the slanted section begins 1.2 meters up the wall at an angle of 14 degrees.
29. In the diagram below of right triangle BAL, altitude AD is drawn to hypotenuse BDL. The length of AD is 6.
30. Trapezoid ABCD
31. In the diagram below of circle O, the measure of inscribed angle ABC is 36° and the length of OA is 4 inches.
32. As modeled in the diagram below, a building has a height of 50 meters. The angle of depression from the top of the building to the top of the tree, T, is 13.3°. The angle of depression from the top of the building to the bottom of the tree, B, is 22.2°.
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. A packing box for baseballs is the shape of a rectangular prism with dimensions of 2 ft x 1 ft x 18 in. Each baseball has a diameter of 2.94 inches.
    Determine and state the maximum number of baseballs that can be packed in the box if they are stacked in layers and each layer contains an equal number of baseballs.
35. Given: Quadrilateral ABCD

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