Geometry 02 June 2016

Geometry 02 June 2015 Questions Answer Keys

The University of the State of New York
The University Of The State Of New York
Regents High School Examination
Geometry
(Common Core)
Tuesday, June 2, 2015 — 1:15 to 4:15 p.m., only

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School Name:________________________________________________________

 

Geometry 02 June 2016
Answer: (4)

2. The vertices of Δ JKL have coordinates J(5,1), K(– 2, – 3), and L(– 4,1). Under which transformation is the image Δ J’K’L not congruent to JKL?

  • (1) a translation of two units to the right and two units down
  • (2) a counterclockwise rotation of 180 degrees around the origin
  • (3) a reflection over the x-axis
  • (4) a dilation with a scale factor of 2 and centered at the origin
Answer: (4) a dilation with a scale factor of 2 and centered at the origin 

3. The center of circle Q has coordinates (3,–2). If circle Q passes through R(7,1), what is the length of its diameter?

  • (1) 50
  • (2) 25
  • (3) 10
  • (4) 5
Answer: (3) 10 

4. In the diagram below, congruent figures 1, 2, and 3 are drawn.

Geometry 02 June 2016

Which sequence of transformations maps figure 1 onto figure 2 and then figure 2 onto figure 3?

  • (1) a reflection followed by a translation
  • (2) a rotation followed by a translation
  • (3) a translation followed by a reflection
  • (4) a translation followed by a rotation
Answer: (4) a translation followed by a rotation 

5. As shown in the diagram below, the angle of elevation from a point on the ground to the top of the tree is 34°.

Geometry 02 June 2016

If the point is 20 feet from the base of the tree, what is the height of the tree, to the nearest tenth of a foot?

  • (1) 29.7
  • (2) 16.6
  • (3) 13.5
  • (4) 11.2
Answer: (3) 13.5 

6. Which figure can have the same cross section as a sphere?

Geometry 02 June 2016
Answer: (2)

7. A shipping container is in the shape of a right rectangular prism with a length of 12 feet, a width of 8.5 feet, and a height of 4 feet. The container is completely filled with contents that weigh, on average, 0.25 pound per cubic foot. What is the weight, in pounds, of the contents in the container?

  • (1) 1,632
  • (2) 408
  • (3) 102
  • (4) 92
Answer: (3) 102 
Geometry 02 June 2016
Answer: (1)
Geometry 02 June 2016
Answer: (1) y =  ½x + 6

10. Which regular polygon has a minimum rotation of 45° to carry the polygon onto itself?

  • (1) octagon
  • (2) decagon
  • (3) hexagon
  • (4) pentagon
Answer: (1) octagon 
Geometry 02 June 2016
Answer: (3) 14.3 

12. In scalene triangle ABC shown in the diagram below, m∠C = 90°

Geometry 02 June 2016

Which equation is always true?

  • (1) sin A = sin B
  • (2) cos A = cos B
  • (3) cos A = sin C
  • (4) sin A = cos B
Answer: (4) sin A = cos B
Geometry 02 June 2016
Answer: (4)

14. The equation of a circle is x2  y2  6y  7. What are the coordinates of the center and the length of the radius of the circle?

  • (1) center (0,3) and radius 4
  • (2) center (0, 3) and radius 4
  • (3) center (0,3) and radius 16
  • (4) center (0, 3) and radius 16
Answer: (2) center (0, 3) and radius 4
Geometry 02 June 2016
Answer: (3) ΔABC ∼  ΔDEF 
Geometry 02 June 2016
Answer: (2) B’C’ = 3BC 
Geometry 02 June 2016
Answer: (1) ∠CFG ≅ ∠FCB 
Geometry 02 June 2016
Answer: (1)

19. A gallon of paint will cover approximately 450 square feet. An artist wants to paint all the outside surfaces of a cube measuring 12 feet on each edge. What is the least number of gallons of paint he must buy to paint the cube?

  • (1) 1
  • (2) 2
  • (3) 3
  • (4) 4
Answer: (2) 2
Geometry 02 June 2016
Answer: (1) ∠ACB ≅ ∠BCD

 

Download Geometry 02 June 2015 Questions Answer Keys

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