triangle cat is located at c (-5,2) a (-4,4) t (-1,2) find the coordinates of its image after a dilation with a scale factor of 4
To find the coordinates of the image of triangle CAT after a dilation with a scale factor of 4, we will multiply the x and y coordinates of each point by 4.
Let's start by writing down the original coordinates of triangle CAT:
C: (-5, 2)
A: (-4, 4)
T: (-1, 2)
Now, let's calculate the coordinates of the image after the dilation:
C': (-5 * 4, 2 * 4) = (-20, 8)
A': (-4 * 4, 4 * 4) = (-16, 16)
T': (-1 * 4, 2 * 4) = (-4, 8)
Therefore, the coordinates of the image of triangle CAT after a dilation with a scale factor of 4 are:
C': (-20, 8)
A': (-16, 16)
T': (-4, 8)
To find the coordinates of the image of Triangle CAT after a dilation with a scale factor of 4, we can use the following formula:
(x', y') = (k * x, k * y)
Where (x, y) are the original coordinates, (x', y') are the coordinates of the image, and k is the scale factor.
Let's start by finding the coordinates of Point C' using the formula:
(x', y') = (k * x, k * y)
(x', y') = (4 * (-5), 4 * 2)
(x', y') = (-20, 8)
Therefore, the image of Point C (-5, 2) after the dilation is C' (-20, 8).
Similarly, let's find the coordinates of Point A':
(x', y') = (k * x, k * y)
(x', y') = (4 * (-4), 4 * 4)
(x', y') = (-16, 16)
Therefore, the image of Point A (-4, 4) after the dilation is A' (-16, 16).
Finally, let's find the coordinates of Point T':
(x', y') = (k * x, k * y)
(x', y') = (4 * (-1), 4 * 2)
(x', y') = (-4, 8)
Therefore, the image of Point T (-1, 2) after the dilation is T' (-4, 8).
In conclusion, the coordinates of the image of Triangle CAT after a dilation with a scale factor of 4 are C' (-20, 8), A' (-16, 16), and T' (-4, 8).