Transformation Coordinate Plane

The point (2, 3) is reflected across the line x = 4. What are the coordinates of the image?

The point (2, –4) is reflected across the line y = –1. What are the coordinates of the image?

If P is a reflection (image) of point (3, -3) across the line 2y=x+1, find the coordinates of point P.

Find the coordinates of the image of point A after a reflection across the line y =x?

Identify the transformation from ABCD to A'B'C'D'.

• Translation

• Reflection across the x-axis

• Reflection across the y-axis

• 90^o counter clockwise rotation

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)

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

• 90^o clockwise rotation

• 90^o counter clockwise rotation

• Reflection across the y-axis

• Reflection across the x-axis

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)

Which algebraic rule will produce a translation that is 5 units to the right?

• (x, y)  --> ( x ,  y + 5)

• (x, y)  --> (  x-5 ,  y + 5)

• (x, y)  --> (  x-2 ,  y + 5)

• (x, y)  --> (  x+5 ,  y)

Determine how to translate triangle A'B'C' to triangle ABC.

• right two, down five

• right two, down 9

• left two, down 9

• left two, down 5