Geometry 26 January 2017

Geometry 26 January 2017 Questions Answer Keys

The University of the State of New York
REGENTS HIGH SCHOOL EXAMINATION
GEOMETRY (Common Core)
Thursday, January 26, 2017 — 9:15 a.m. to 12:15 p.m., only
Student Name:_________________________________________________________
School Name: _________________________________________________________

1. Which equation represents the line that passes through the point (2,2) and is parallel to y = ½x + 8?

  • (1) y= ½ x
  • (2) y = -2x – 3
  • (3) y = ½x + 3
  • (4) y = – 2x + 3
Answer: (3) y = ½x + 3 

Which statement must be true?

  • (1) m∠BAC = m∠AED
  • (2) m∠ABC = m∠ADE
  • (3) m∠DAE = ½m∠BAC
  • (4) m∠ACB = ½m∠DAB
Answer: (2) m∠ABC = m∠ADE 

3. Given ΔABC ≅ ΔDEF, which statement is not always true?

  • (1)
  • (2) m∠A = m∠D
  • (3) area of ΔABC = area of ΔDEF
  • (4) perimeter of ΔABC = perimeter of ΔDEF
Answer: (1)  

 

The perimeter of quadrilateral ADEF is equivalent to

  • (1) AB + BC + AC
  • (2) ½AB + ½AC
  • (3) 2AB + 2AC
  • (4) AB + AC
Answer: (4) AB + AC 
  • (1) square
  • (2) rhombus
  • (3) rectangle
  • (4) parallelogram
Answer: (4) parallelogram 

6. Under which transformation would ΔA’B’C’, the image of ΔABC, not be congruent to ΔABC?

  • (1) reflection over the y-axis
  • (2) rotation of 90º clockwise about the origin
  • (3) translation of 3 units right and 2 units down
  • (4) dilation with a scale factor of 2 centered at the origin
Answer: (4) dilation with a scale factor of 2 centered at the origin

7. The diagram below shows two similar triangles.

  • (1) 1.2
  • (2) 5.6
  • (3) 7.6
  • (4) 8.8
Answer: (2) 5.6

8. A farmer has 64 feet of fence to enclose a rectangular vegetable garden. Which dimensions would result in the biggest area for this garden?

  • (1) the length and the width are equal
  • (2) the length is 2 more than the width
  • (3) the length is 4 more than the width
  • (4) the length is 6 more than the width
Answer: (1) the length and the width are equal

What is the perimeter of rectangle ABCD, to the nearest tenth?

  • (1) 28.4
  • (2) 32.8
  • (3) 48.0
  • (4) 62.4
Answer: (2) 32.8 

10. Identify which sequence of transformations could map pentagon ABCDE onto pentagon A”B”C”D”E”, as shown below.

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

11. A solid metal prism has a rectangular base with sides of 4 inches and 6 inches, and a height of 4 inches. A hole in the shape of a cylinder, with a radius of 1 inch, is drilled through the entire length of the rectangular prism.

What is the approximate volume of the remaining solid, in cubic inches?

  • (1) 19
  • (2) 77
  • (3) 93
  • (4) 96
Answer: (2) 77

12. Given the right triangle in the diagram below, what is the value of x, to the nearest foot?

  • (1) 11
  • (2) 17
  • (3) 18
  • (4) 22
Answer: (3) 18
  • (1) B'(5,2) and C'(1,- 2)
  • (2) B'(6,1) and C'(0,- 1)
  • (3) B'(5,0) and C'(1,- 2)
  • (4) B'(5,2) and C'(3,0)
Answer: (1) B'(5,2) and C'(1,- 2)
Answer: (3)  
  • (1) 6
  • (2) 22
  • (3) 36
  • (4) 48
Answer: (2) 22

16. A parallelogram is always a rectangle if

  • (1) the diagonals are congruent
  • (2) the diagonals bisect each other
  • (3) the diagonals intersect at right angles
  • (4) the opposite angles are congruent
Answer: (1) the diagonals are congruent

17. Which rotation about its center will carry a regular decagon onto itself?

  • (1) 54°
  • (2) 162°
  • (3) 198°
  • (4) 252°
Answer: (4) 252°

18. The equation of a circle is x² + y² – 6y +1 = 0. What are the coordinates of the center and the length of the radius of this circle?

  • (1) center (0,3) and radius  = 2√2
  • (2) center (0,3) and radius = 2√2
  • (3) center (0,6) and radius = √35
  • (4) center (0,6) and radius = √35
Answer: (1) center (0,3) and radius  = 2√2

19. Parallelogram ABCD has coordinates A(0,7) and C(2,1). Which statement would prove that ABCD is a rhombus?

Answer: (3)  
  • (1) (5,1)
  • (2) (5,0)
  • (3) (6,- 1)
  • (4) (6,0)
Answer: (1) (5,1)

Download Geometry 26 January 2017 Questions Answers Keys

Geometry Examination QuestionGeometry 26 January 2017
Geometry 26 January 2017Scoring Key and Rating Guide

See also: 

0 comments… add one

Leave a Comment