What is the image of Q for a dilation with the center (0,0) and a scale factor of 0.5?
1 answer:
Answer: OPTION A.
Step-by-step explanation:
A dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure before the transformation) have the same shape, but they have different sizes.
In this case you know that the dilation is centered at the origin and the scale factor is:
Therefore, the rule is the following:
You can identify in the figure attached that the point Q is:
Therefore, you must multiply its coordinates by the scale factor 0.5 in order to get its Image Q'. This is:
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Answer: first option.
Step-by-step explanation:
The ratio of the area of the triangles can be calculated as following:
Where is the lenght of the given side of the smaller triangle and
is the lenght of the given side of the larger triangle.
Therefore:
It can be written as following:
The ratio of the perimeter is:
Where is the lenght of the given side of the smaller triangle and
is the lenght of the given side of the larger triangle.
Therefore:
It can be written as following:
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Let when i is the element itself is allocated to 'j'
Min
Subject to: