Geometry Chapter 9 Test Part I

20 Questions | By Pchao29 | Updated: Mar 20, 2022 | Attempts: 171

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20 Multiple Choice Questions. Time Limit: One Hour

Questions and Answers

1.

The point (5,-9) is the image under the translation (x,y) → (x + 3,y + 2). What is the preimage?
- A.
  
  (2, -11)
- B.
  
  (8, -7)
- C.
  
  (2, -7)
- D.
  
  (8, -11)
2.

What rule describes the translation 4 units up and 12 units left?
- A.
  
  (x,y) → (x + 4, y + 12)
- B.
  
  (x,y) → (x – 12, y - 4)
- C.
  
  (x,y) → (x + 4, y - 12)
- D.
  
  (x,y) → (x - 12, y + 4)
3.

ΔXYZ has vertices X(-5,2), Y(0,-4), and Z(3,3). What are the vertices of the image of ΔXYZ under the translation (x,y) → (x + 7, y - 5)?
- A.
  
  X’(2,-3), Y’(7,-9), Z’(10,-2)
- B.
  
  X’(-12,7), Y’(-7,1), Z’(-4,8)
- C.
  
  X’(-12,-3), Y’(-7,-9), Z’(-4,-2)
- D.
  
  X’(2,-3), Y’(10,-2), Z’(7,-9)
4.

What is the reflection image of (5,-3) across the y-axis?
- A.
  
  (5, 3)
- B.
  
  (-5, 3)
- C.
  
  (-5, -3)
- D.
  
  (3, 5)
5.

What is the reflection image of (5, -3) across the line y = -x?
- A.
  
  (-3, 5)
- B.
  
  (-3, -5)
- C.
  
  (3, -5)
- D.
  
  (3, 5)
6.

What is the reflection image of (a,b) across the line y = -6?
- A.
  
  (a – 6,b)
- B.
  
  (a,b - 6)
- C.
  
  (-12 – a, b)
- D.
  
  (a, -12 – b)
7.

The preimage of a reflection lies in Quadrant II and the image is in Quadrant III. Which line could be the line of reflection?
- A.
  
  Y = x
- B.
  
  Y = -x
- C.
  
  X-axis
- D.
  
  Y-axis
8.

Name the image of X for a 240º counterclockwise rotation about the center of the regular hexagon.
- A.
  
  A
- B.
  
  G
- C.
  
  O
- D.
  
  H
9.

What is the image of (1,-6) for a 90º counterclockwise rotation about the origin?
- A.
  
  (6, 1)
- B.
  
  (-1, 6)
- C.
  
  (-6, -1)
- D.
  
  (-1, -6)
10.

The same hemisphere of the moon always faces Earth. Thus, the motion of the moon about Earth for a given time interval can be modeled by a rotation. The center of the rotation is the center of the Earth. The angle of rotation is determined by the time interval, given that one journey of the moon around Earth takes about 27 1/3 days.What rotation is modeled by the motion of the moon?
- A.
  
  A circle rotating about its center
- B.
  
  A circle rotation about a point
- C.
  
  2 circles rotating around each other
- D.
  
  A circle rotating around a circle
11.

The same hemisphere of the moon always faces Earth. Thus, the motion of the moon about Earth for a given time interval can be modeled by a rotation. The center of the rotation is the center of the Earth. The angle of rotation is determined by the time interval, given that one journey of the moon around Earth takes about 27 1/3 days.In how many days does the moon complete a 90º angle of rotation?
- A.
  
  About 4
- B.
  
  About 7
- C.
  
  About 14
- D.
  
  About 27
12.

Which figure does NOT have rotational symmetry?
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
13.

Which figure, in general, has exactly two lines of symmetry?
- A.
  
  Pentagon
- B.
  
  Circle
- C.
  
  Square
- D.
  
  Rectangle
14.

Which quadrilateral has rotational symmetry but not reflectional symmetry?
- A.
  
  Nonisosceles trapezoid
- B.
  
  Kite
- C.
  
  Rhombus
- D.
  
  Parallelogram
15.

What is the smallest angle through which you can rotate a regular hexagon onto itself?
- A.
  
  30º
- B.
  
  60º
- C.
  
  90º
- D.
  
  120º
16.

Find the image of P(11,-5) for the translation (x,y) → (x – 12, y – 6) followed by a reflection in x = 0.
- A.
  
  (1, -11)
- B.
  
  (-1, 11)
- C.
  
  (1, 11)
- D.
  
  (-1, 11)
17.

A reflection in the y-axis followed by a reflection in the x-axis does NOT give the same result as which of the following transformations?
- A.
  
  A reflection in the x-axis by a reflection in the y-axis
- B.
  
  A rotation of 180º
- C.
  
  A rotation of 90º followed by a reflection in the x-axis
- D.
  
  A reflection in the line y = x followed by a reflection in the line y = -x
18.

Which figure will NOT tessellate a plane?
- A.
  
  A
- B.
  
  B
- C.
  
  C
- D.
  
  D
19.

You can tessellate a plane using a regular octagon together with which other type of regular polygon?
- A.
  
  Triangle
- B.
  
  Square
- C.
  
  Pentagon
- D.
  
  Hexagon
20.

Which is NOT a symmetry for the tessellation?
- A.
  
  Line Symmetry
- B.
  
  Translational symmetry
- C.
  
  Rotational symmetry
- D.
  
  Glide reflectional symmetry