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Dilating the triangle ABC would create another triangle whose size is different from the triangle ABC
<h3>How to dilate the triangle?</h3>From the complete question, we have the following coordinates:
- Point A = (-4,5)
- Point B = (7,-7)
- Point C = (-2,2)
- Point P = (1,-4)
- Scale factor, k = 1/3
The dilation rule across the center P is:
(x, y) --> (1/3x – 1, 1/3y + 4)
So, the coordinates of the image of the triangle are:
A' = (-1/3 * 4 – 1, 1/3 * 5 + 4)
A' = (-7/3, 17/3)
B' = (1/3 * 7 – 1, -1/3 * 7 + 4)
B' = (4/3, 5/3)
C' = (-1/3 * 2 – 1, 1/3 * 2 + 4)
C' = (-5/3, 14/3)
From the above computation, the coordinates of the new triangle is:
A' = (-7/3, 17/3)
B' = (4/3, 5/3)
C' = (-5/3, 14/3)
See attachment for the image of triangle ABC
Read more about dilation at:
Each die has 6 possible outcomes (the numbers from 1 to 6).
If we roll two dices, the total number of outcomes is 6 * 6 = 36.
From these outcomes, the ones that have a sum of 4 are:
(1, 3), (2, 2) and (3, 1).
So, if we have 3 wanted outcomes from a total of 36, the probability is:
Therefore the correct option is the second one.