Coordinate Plane and Transformations

Identify the transformation from ABC to A'B'C'.

• (x+8, y+4)

• (x-8, y-4)

• (x+4, y+8)

• (x-4, y-8)

Which rule would result in a translation of 2 units left and 3 units up?

• (x, y) → (2x, 3y)

• (x, y) → (x - 2, y + 3)

• (x, y) → (-x, -y)

• (x, y) → (x + 2, y - 3)

Dilate Point B by a scale factor of 3:

• (12,0)

• (12,12)

• (4,3)

• (0,12)

Reflect over the x-axis

• (-2, 2), B' (3, 2)

• (-2, -2), B' (3, -2)

• (2, -2), B' (-3, -2)

• (2, -2), B' (2, 3)

Figure F has been transformed to F'.

Select all the statements that are true.

• reflected across the y-axis

• translated 8 units up

• translated 8 units down

• reflected across x axis

• congruent and similar

The transformation that occurred is ​ (a)   .

• reflection

• Dilation

• Translation

• Rotation

Which best describes the transformation(s) that take the Pre-Image to the image.?

• Translation by a directed line segment from

  (3, 4) to (1, 0), followed by a reflection across the y-axis.

• Rotation about the origin 90 degrees.

• Reflection across the y-axis, followed by a translation by a directed line segment from

  (3, 4) to (1, 0).

• Rotation about the origin 270 degrees.

Triangles ΔABC and ΔA'B'C' are graphed in the standard (x,y) coordinate plane below. Triangle ΔA'B'C' is the image of ΔABC under one of the following transformations. Which one?

• Horizontal translation

• Reflection across the x-axis

• Reflection across the y-axis

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.

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