Chapter 7 Test

1. What type of transformation is shown?

Rotation

Translation

Reflection

Dilation

2. How many lines of symmetry does a square have?

1

2

3

4

It depends on the size of the square

3. The point (6,3) is reflected over the y-axis. What are the coordinates of the image?

(3,6)

(-3,-6)

(-6,3)

(6,-3)

4. What are the coordinates of the image after point (10,2010) is translated by the vector <2,-1>?

(2020,1)

(12,2009)

(12,2011)

(-2000,1)

5. Does this figure have rotational symmetry? If so, state the number of degrees needed to map it onto itself.

No

45

90

180

6. Which of these images cannot be achieved using a single rigid transformation?
A

B

C

D

A

B

C

D

E (don't pick this... there is no E)

7. Which type of transformation is NOT a rigid transformation?

Rotation

Translation

Reflection

Dilation

8. Point H (-2,-9) is rotated 90 degrees clockwise about the origin.
Now, what are the coordinate of the image, H'?

(-9,-2)

(-9,2)

(9,-2)

(2,9)

Cannot tell because it does not say if it is rotated clockwise or counterclockwise

9. Reflect this preimage about the line y=x.

Which of these is the resulting image?

A

B

C

D

A

B

C

D

10. What is the area of this shape?

(hint, use the formula sheet)

54 square units

108 square units

810 square units

1620 square units

11. Point Z (3,-4) is rotated 90^o clockwise. What are the coordinate of the image, Z'?

(-4,-3)

(-3,-4)

(4,3)

(3,4)

12. 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?

(0,3)

(0,11)

(3,-3)

(3,11)

13. Which of these is NOT the same as a 180 degree rotation?

Reflect over the x-axis, then reflect over the y-axis

Reflect over the line y=x, then reflect over the line y=-x

Rotate 270 degrees clockwise, then rotate 270 degrees clockwise

Rotate 540 degrees clockwise, then rotate 270 degrees counterclockwise

14. What is the component form of this vector.

-2/5 (don't pick this one, this is slope)

15. The point (6,3) is reflected over the line y=-x. What are the coordinates of the image?

(3,6)

(-3,-6)

(-6,3)

(6,-3)

16. Find the slope of a line passing through the following points:

( -3, -1) and (-9, 2)

-2

-1/2

1/2

2

Uh, oh. I got none of these.

17. 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?

(-3,-2)

(0,-2.5)

-3/4

5

18. Reflect this point over the line y=1.

What are the coordinates of the image?

(0,-1)

(-1,2)

(-2,-1)

(2,3)

19. Which combination of transformations would result in the same image as a reflection about the y-axis?

Reflect over y-axis, rotate 180 degrees

Reflect over x-axis, rotate 90 degrees

Rotate 180 degrees, reflect over x-axis

Rotate 90 degrees, reflect over y-axis

20. 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''?

(2,2)

(2,-2)

(-2,2)

(-2,-2)

21. The point T at (-1,4) is rotated 90^o counterclockwise, then translated by <-2,-3>and finally reflected over the line y=x. What are the coordinates of T'''?

(-4,-6)

(4,-2)

(-2,2)

(-2,-6)