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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- In the diagram below, a line reflection followed by a rotation maps△ABC onto △DEF.
- A circle is continuously rotated about its diameter. Which three dimensional object will be formed?
- In the diagram below of △CER
- Right triangle ABC is shown below
- In the diagram of △ABC below, AE bisects angle BAC, and altitude BD is drawn.
- 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?
- In right triangle LMN shown below, m∠M = 90°, MN = 12, andLM = 16.
- In △ABC below, DE is drawn such that D and E are on AB and AC, respectively.
- Which polygon does not always have congruent diagonals?
- If the circumference of a standard lacrosse ball is 19.9 cm, what isthe volume of this ball, to the nearest cubic centimeter?
- Which polygon always has a minimum rotation of 180° about itscenter to carry it onto itself?
- Circle O is drawn below with secant BCD. The length of tangent AD is 24.
- The equation of a line is 3x - 5y = 8. All lines perpendicular to thisline must have a slope of
- In the diagram below of right triangle MDL, altitude DG is drawnto hypotenuse ML.
- In parallelogram ABCD shown below,EB bisects ∠ABC
- Segment AB is the perpendicular bisector of CD at point M.Which statement is always true?
- In the diagram below of circle O, AC and BC are chords, andm∠ACB = 70°.
- Quadrilateral BEST has diagonals that intersect at point D. Whichstatement would not be sufficient to prove quadrilateral BEST is aparallelogram?
- 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?
- 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?
- 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?
- On the set of axes below, the endpoints of AB have coordinates A(23,4) and B(5,2).
- In the circle below, AD, AC, BC, and DC are chords, EDF istangent at point D, and AD || BC.
- In the diagram below of △ABC, D and E are the midpoints of AB and AC, respectively, and DE is drawn
- Using a compass and straightedge, construct the angle bisector of ∠ABC.
- On the set of axes below, △ABC and △DEF are graphed.
- As shown in the diagram below, a symmetrical roof frame rises 4 feet above a house andhas a width of 24 feet.
- 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.
- 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.
- 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.
- Triangle ABC with coordinates A(-2,5), B(4,2), and C(-8,-1) is graphed on the set of axesbelow.
- 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.
- 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.
- 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.
- Given: Triangle DUC with coordinates D(-3,-1), U(-1,8), and C(8,6)
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