Question

Which transformation will the preimage ABCD undergo when you move/slide it 4 units left and 6 units upwards to obtain the image A'B'C'D'?

• A. Reflection
  
• B. Rotation
  
• C. Dilation
  
• D. Translation
  

Answer 1

The correct option is D Translation


When an object is slided or shifted to form an image, the transformation involved is said to be translation.
Here, the preimage ABCD undergoes translation when you move or slide it 4 units left, i.e., in the negative $x$ direction and 6 units up, i.e., in the positive $y$ direction.
(Vertex A translating to form A')

(Vertex B translating to form B')

(Vertex C translating to form C')

(Vertex D translating to form D')

By observing each of the vertices of the square, we can say that all the vertices have been slided or shifted toward the left by 4 units and also 6 units up to form the image A'B'C'D'. There is no change in the orientation of the square that can be observed. So, the transformation involved in moving the preimage ABCD to form the image A'B'C'D' is translation.