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- 1. Multiple Choice
If (9,-5) is translated onto (5,0), then what is the algebraic rule for any point (x,y) in the same image?
(x-4,y-5)
(x+4,y-5)
(x-4,y+5)
(x+4,y+5)
- 2. Multiple Choice
Rhombus ABCD has vertices A(2,2), B(6,4), C(8,8), and D(4,6). After a translation, the image A' is located at (-2,10). What are the coordinates of C'?
(2,12)
(4,16)
(0,14)
(12,16)
- 3. Multiple Choice
The image of (16,-12) after dilation with respect to the origin is (12,-9), what is the scale factor of the dilation?
- 4. Multiple Choice
Consider the point (-7,4). What are the coordinates of P', the image of P, after a counterclockwise rotation of 90° about the origin?
(4,7)
(-4,7)
(-4,-7)
(4,-7)
- 5. Multiple Choice
Point W has coordinates (5,-6) and is reflected over the x-axis. What are the coordinates of the image?
(-5,6)
(5,-6)
(5,6)
(-5,-6)
- 6. Graphing
Figure EFGH in the coordinate plane has vertices at (-5,2), (-5,-2), (-1,-2), and (-1,2). If the figure is translated 7 units to the right and 3 units down, what are the coordinates of the E'F'G'H'?
Plot the 4 new points.
- 7. Multiple Choice
Which of the following DOES NOT preserve the dimensions of a figure?
I translation
II rotation
III reflection
IV dilation
I, II, and III
I, III, and IV
IV
III
- 8. Drop Down
Look at the figures below. The transformation that was used to map ABC to DEF was (a)
Reflection across the x axisReflection across the y axisRotation 90º CWTranslation down 2 units - 9. Multiple Choice
In a floor design, a triangle shape is created as shown in the lower left quadrant. The design is transformed by reflecting the triangle over the x-axis. What does the design look like?
- 10. Drop Down
Look at the preimage and image below. The coordinate notation for the transformation shown is
(x,y)→(x (a) , y (b) )
-3+3+2+4-2-4 - 11. Multiple Choice
Which figure shows the triangle reflected over the y-axis then rotated 180°?
- 12. Multiple Choice
Rectangle R is drawn on a coordinate grid with vertices (-4,4), (-2,2), (-1,7), and (1,5). Suppose that R is translated (x,y)→(x+7,y-3) and then reflected over the x-axis, which of the following shows the image R' that results?
- 13. Multiple Choice
Which of the following pairs best describes a transformation of Figure 1 into Figure 2 followed by a transformation of Figure 2 into Figure 3?
Reflection, rotation
Reflection, reflection
Rotation, rotation
Rotation, reflection
- 14. Multiple Choice
Which best describes the sequence of the transformation given in the graph?
Rotate ABCD 90° clockwise about the origin and then reflect across the y-axis.
Reflect ABCD over the x-axis and then rotate 90° counterclockwise about the origin.
Reflect ABCD over the y-axis and then rotate 90° counterclockwise about the origin.
Rotate ABCD 90° counterclockwise about the origin and then reflect over the x-axis.
- 15. Multiple Choice
Look at the figures below. Which coordinate notation describes the transformation in the graph above?
(x,y)→(0.5x,0.5y)→(x+9,y-3)
(x,y)→(2x,2y)→(x+0,y-11)
(x,y)→(0.5x,0.5y)→(x+0,y-11)
x,y→2x,2y→(x+9,y-3)
- 16. Multiple Choice
Which geometric figure has 60° rotational symmetry?
Regular hexagon
Rhombus
Regular pentagon
Square
- 17. Multiple Choice
Which figure has 72° rotational symmetry?
- 18. Drop Down
Determine if the figure has any lines of symmetry.
The figure has (a) line(s) of symmetry.
21348 - 19. Categorize
Look at the figure. Determine which statements are true or false.
(a) True , (b) FalseThe figure has both lines of symmetry AND rotational symmetry
The figure has only 2 lines of symmetry.
The figure has a 90° angle of rotational symmetry.
- 20. Multiple Choice
Which figure has both rotational and reflectional symmetry?
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