Unit 4 Transformations Test Review

If (4, -3) is translated onto (0, -1), then what is the algebraic rule for any point (x,y) in the same image?

• (x - 4, y - 2)

• (x - 4, y + 2)

• (x + 4, y - 2)

• (x + 4, y + 2)

Rhombus ABCD has vertices at A (2,2), B (6,4), C (8,8), D (4,6). After a translation, the image A' is located at (-1, 9). What are the coordinates of C'?

• (1, 13)

• (-15, 57)

• (3, 11)

• (5, 15)

The image of (15, -18) after a dilation with respect to the origin is (10, -12). What is the scale factor of the dilation?

• 3/2

• 2/3

• -3/2

• -2/3

Consider the point P (-5, 3). What are the coordinates of P', the image of P, after a counterclockwise rotation of 90° about the origin?

• (-3, -5)

• (-3, 5)

• (3, -5)

• (3, 5)

Point S has coordinates (4, -6) and is reflected over the x-axis. What are the coordinates of the new image?

• (-4, -6)

• (4,6)

• (6, -4)

• (-6, 4)

Figure ABC in the coordinate plane has vertices at (2, 1), (-6, 4), and (-3, -2). If the figure is translated 5 units to the right and 2 units up, what are the coordinates of the A'B'C'?

• (-2, -1), (-6, 4), (3, 2)

• (-3, -2), (-6, 4), (2, 1)

• (7, 3), (-1, 6), (2, 0)

• (0, 6), (-8, 9), (-5, 3)

Which of the following transformations always preserves the dimensions of a figure? I. Translation II. Rotation III. Reflection IV. Dilation

• Only IV

• I, II, and III

• I, II, and IV

• II, III, IV

Look at the figure below. The transformation that was used to map ABC to A'B'C' was

• Reflection across the x-axis

• Reflection across the y-axis

• Rotation 90° clockwise

• Rotation 270° counterclockwise

Lesley and Marc are designing a new logo. They start by creating a triangle shape in the lower left quadrant as shown below. They transform it by rotating the triangle shown above 90° clockwise about the origin. What does the new design look like?

• 
• 
• 
• 

Look at the image and preimage below. The coordinate notation for the transformation shown is

• (x,y) → (x + 7, y + 9)

• (x,y) → (x - 7, y + 9)

• (x,y) → (x + 7, y - 9)

• (x,y) → (x - 7, y - 9)