Here, we want to dilate the given shape using the given scale factor
To dilate the shape, we need the coordinates of the shape before we can apply the dilation
Let us use the scale on the graph that each small square represents 1 unit on both axes
The coordinates of each of the points are as follows;
M (-5, 1)
U (-1,3)
Y(-2,-1)
By applying the dilation, we are going to get a new set of points with each coordinate multiplied by exactly 1/2
Thus, we have
M'(-2.5 , 0.5)
U' (-0.5 , 1.5)
Y' ( -1 , -0.5)
Now we will draw a triangle with these new set of points. The first thing to do here is to identify the points on the grid
Kindly note that all the points having a .5 notation such as 2.5 is in between the number before the decimal, and the next integre after it
Hence, we have 2.5 between 2 and 3, 0.5 between 0 and 1 and so on
The points on the grid are identified as follows;
The above is what the final sketch should look like after dilation