Chapter 7 Test
Chapter 7 Test Geometry Transformations
- 1.
What type of transformation is shown?
- A.
Rotation
- B.
Translation
- C.
Reflection
- D.
Dilation
Correct Answer
C. Reflection -
- 2.
Which type of transformation is NOT a rigid transformation?
- A.
Rotation
- B.
Translation
- C.
Reflection
- D.
Dilation
Correct Answer
D. Dilation -
- 3.
Which combination of transformations would result in the same image as a reflection about the y-axis?
- A.
Reflect over y-axis, rotate 180 degrees
- B.
Reflect over x-axis, rotate 90 degrees
- C.
Rotate 180 degrees, reflect over x-axis
- D.
Rotate 90 degrees, reflect over y-axis
Correct Answer
C. Rotate 180 degrees, reflect over x-axis -
- 4.
Which of these images cannot be achieved using a single rigid transformation?ABCD
- A.
A
- B.
B
- C.
C
- D.
D
- E.
E (don't pick this... there is no E)
Correct Answer
C. C -
- 5.
Reflect this preimage about the line y=x.Which of these is the resulting image?ABCD
- A.
A
- B.
B
- C.
C
- D.
D
Correct Answer
A. A -
- 6.
What is the component form of this vector.
- A.
- B.
- C.
- D.
- E.
-2/5 (don't pick this one, this is slope)
Correct Answer
A. -
- 7.
What are the coordinates of the image after point (10,2010) is translated by the vector <2,-1>?
- A.
(2020,1)
- B.
(12,2009)
- C.
(12,2011)
- D.
(-2000,1)
Correct Answer
B. (12,2009) -
- 8.
The point J at (12,18) is translated by (x,y) --> (x-10, y-20). Then, the resulting point J' is reflected over the x-axis. What are the coordinates of J''?
- A.
(2,2)
- B.
(2,-2)
- C.
(-2,2)
- D.
(-2,-2)
Correct Answer
A. (2,2) -
- 9.
The point T at (-1,4) is rotated 90o counterclockwise, then translated by <-2,-3>and finally reflected over the line y=x. What are the coordinates of T'''?
- A.
(-4,-6)
- B.
(4,-2)
- C.
(-2,2)
- D.
(-2,-6)
Correct Answer
A. (-4,-6) -
- 10.
The point (6,3) is reflected over the y-axis. What are the coordinates of the image?
- A.
(3,6)
- B.
(-3,-6)
- C.
(-6,3)
- D.
(6,-3)
Correct Answer
C. (-6,3) -
- 11.
The point (6,3) is reflected over the line y=-x. What are the coordinates of the image?
- A.
(3,6)
- B.
(-3,-6)
- C.
(-6,3)
- D.
(6,-3)
Correct Answer
B. (-3,-6) -
- 12.
What is the length of the segment connecting points A (-2,-1) and B (2,-4)?In other words, what is the measure of segment AB?Or, in still other words, what is distance between points A and B?These are all the same question. What is the correct answer?
- A.
(-3,-2)
- B.
(0,-2.5)
- C.
-3/4
- D.
5
Correct Answer
D. 5 -
- 13.
Point Z (3,-4) is rotated 90o clockwise. What are the coordinate of the image, Z'?
- A.
(-4,-3)
- B.
(-3,-4)
- C.
(4,3)
- D.
(3,4)
Correct Answer
A. (-4,-3) -
- 14.
Point H (-2,-9) is rotated 90 degrees clockwise about the origin.Now, what are the coordinate of the image, H'?
- A.
(-9,-2)
- B.
(-9,2)
- C.
(9,-2)
- D.
(2,9)
- E.
Cannot tell because it does not say if it is rotated clockwise or counterclockwise
Correct Answer
B. (-9,2) -
- 15.
Which of these is NOT the same as a 180 degree rotation?
- A.
Reflect over the x-axis, then reflect over the y-axis
- B.
Reflect over the line y=x, then reflect over the line y=-x
- C.
Rotate 270 degrees clockwise, then rotate 270 degrees clockwise
- D.
Rotate 540 degrees clockwise, then rotate 270 degrees counterclockwise
Correct Answer
D. Rotate 540 degrees clockwise, then rotate 270 degrees counterclockwise -
- 16.
How many lines of symmetry does a square have?
- A.
1
- B.
2
- C.
3
- D.
4
- E.
It depends on the size of the square
Correct Answer
D. 4 -
- 17.
Which of these is NOT a possible number of lines of symmetry for a hexagon?
- A.
4
- B.
3
- C.
2
- D.
1
- E.
0
Correct Answer
A. 4 -
- 18.
Does this figure have rotational symmetry? If so, state the number of degrees needed to map it onto itself.
- A.
No
- B.
45
- C.
90
- D.
180
Correct Answer
D. 180 -
- 19.
What is the rotational symmetry of this wheel?State the number of degrees needed to map it onto itself.
- A.
36
- B.
72
- C.
90
- D.
180
- E.
360
Correct Answer
B. 72 -
- 20.
Reflect this point over the line y=1.What are the coordinates of the image?
- A.
(0,-1)
- B.
(-1,2)
- C.
(-2,-1)
- D.
(2,3)
Correct Answer
D. (2,3) -
- 21.
If the image of a point A' is (3,4) following a translation of <0,7>, then what must have been the location of the pre-image point A?
- A.
(0,3)
- B.
(0,11)
- C.
(3,-3)
- D.
(3,11)
Correct Answer
C. (3,-3) -
- 22.
What is the area of this shape? (hint, use the formula sheet)
- A.
54 square units
- B.
108 square units
- C.
810 square units
- D.
1620 square units
Correct Answer
A. 54 square units -
- 23.
Find the slope of a line passing through the following points:( -3, -1) and (-9, 2)
- A.
-2
- B.
-1/2
- C.
1/2
- D.
2
- E.
Uh, oh. I got none of these.
Correct Answer
B. -1/2 -
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