Transformations Test Corrections

1. Pentagon VWXYZ is shown on the coordinate grid. A student reflected pentagon VWXYZ across the x-axis to create pentagon V'W'X'Y'Z'. 

Which rule describes this transformation?

• (x, -y)

• (x, y+8)

• (-y, x)

• (-x, y)

1. Triangle PQR is dilated with the origin as the center of dilation to create triangle P'Q'R'.
   Complete the rule to represent the dilation from triangle PQR to triangle P'Q'R'. 

(x, y)------> (​ (a)   , ​ (b)   )

• 3x
• 3y
• 2x
• 2y
• 6x
• 6y

Two points are shown on a coordinate grid.


Which measurement is closest to the distance between points K and L?

• 7 units

• 5 units

• 10 units

• 20 units

Which graph does NOT represent a translation described by the rule (x, y)  (x − 4, y + 5)?

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1. A square with a perimeter of 20 units is graphed on a coordinate grid. The square is dilated by a scale factor of 0.4 with the origin as the center of dilation.
   
   

If (x, y) represents the location of any point on the original square, which ordered pair represents the coordinates of the corresponding point on the resulting square?

• (20x, 20y)

• (0.4x, 0.4y)

• (x + 20, y + 20)

• (x + 0.4, y + 0.4)

Image P is shown in the coordinate grid. Image P is translated 2.5 units to the right and 3.5 units up to create Image P′.

Which rule describes this transformation?

• (2.5x, 3.5y)

• (x + 3.5, y + 2.5)

• (3.5x, 2.5y)

• (x + 2.5, y + 3.5)

Triangle HJK is graphed on the coordinate grid. Triangle HJK will be transformed using the rule (x, y) ---> (-x, y) to create triangle H'J'K'.

Which graph represents triangle H'J'K'?

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The tables show the ordered pairs that represent the vertices of Triangle 1 and its image, Triangle 2, after a dilation with the origin as the center of dilation.

Which rule best represents the dilation that was applied to Triangle 1 to create Triangle 2?

• (0.2x, 0.2y)

• (5x, 5y)

• (8x, 8y)

• (10x, 10y)

Triangle KLM is rotated 270° clockwise about the origin to create triangle K'L'M'. Which rule describes the transformation that is applied to triangle KLM?

• (y, −x)

• (−x, −y)

• (−x, y)

• (−y, x)

 Select the coordinates of the points provided given the transformations described. 
Original Point (1, 4)

Rotation About the Origin 270° Clockwise- ​ (a)  

Reflection Over the x-axis- ​ ​ (b)  

Reflection Over the y-axis- ​ (c)  

Translation 3 Units to the Left and 2 Units Up- ​ (d)  

• (-4,1)
• (1, -4)
• (-1, 4)
• (-2,6)
• (-2, -6)
• (2, -6)