Mathematics
Grade9
Easy
Question
J’I’A’ is the image of JIA after a translation. Write a rule for the translation.
- (x, y) à (x + 4, y - 4)
- (x, y) à (x - 4, y - 4)
- (x, y) à (x + 4, y + 4)
- (x, y) à (x - 4, y + 4)
Hint:
A rotation is a transformation in a plane that turns every point of a preimage through a specified angle and direction about a fixed point.
The correct answer is: (x, y) à (x + 4, y - 4)
On X-axis,
Positive translation means shifting to the right (x + h)
Negative translation means shifting to the left (x - h)
On Y-axis,
Positive translation means shifting vertically upward (y + k)
Negative translation means shifting vertically downward (y - k)
Here,
The figure is moved to 4 units to the right on the x-axis, and 4 units downward on the y-axis.
Translation is 4 units right and 4 unit down.
Rule: (x, y) à (x + 4, y - 4)
Hence, the correct option is B.
A point can be reflected about any of the two axes or about any line.
