Answer:
Option C is correct.
Step-by-step explanation:
The rule of dilation implies that when a figure is dilated by a scale factor of 1/2, the length of the sides of the image can be obtained by multiplying the sides of the original figure/object by 1/2.
For example, if the length of a side of a segment is 6 and is dilated by a scale factor of 1/2. The length of the image segment will be 6/2 or 3/2. i.e. the original length 6 of the segment is multiplied by 1/2 to get the image segment 3/2.
Other important thing to consider is when the scale factor to be multiplied is less than 1, than the image will be smaller, but if the scale factor to be multiplied is greater than 1, than the image will be larger.
Now, coming towards the question and lets dilate the sides of the figure A by a scale factor of 1/2.
- The length of the side 5 in will have its image with length 2.5 in.
i.e. 5/2= 2.5
- The length of the side 2 in will have its image with length 1 in.
i.e. 2/2 = 1
- The length of the side 4 in will have its image with length 2 in.
i.e. 4/2 = 2
- The length of the side 1 in will have its image with length 0.5 in.
i.e. 1/2 = 0.5
Therefore, option C is correct.
