Geometry Unit 4 Review

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)

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)

The image of (16,-12) after dilation with respect to the origin is (12,-9), what is the scale factor of the dilation?

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)

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)

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.

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

Look at the figures below. The transformation that was used to map ABC to DEF was ​ ​ (a)  

• Reflection across the x axis
• Reflection across the y axis
• Rotation 90º CW
• Translation down 2 units

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?

• 
• 
• 
• 

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