angelynb1497
01.08.2019 •
Mathematics
De is a line segment with endpoints d(-5,1) and e(3, 3). what are the coordinates of d’ and e’, the image of de under a dilation of magnitude 1.5 and a center of dilation at the point (-4,2)?
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Ответ:
x= |-4-(-5)| =1
y= |2-1| =1
Now we multiply this distance by the dilation factor
x_distance = 1 * 1.5 = 1.5
y_distance = 1 * 1.5 = 1.5
Now we do same for point E:
x= |-4-3| =7
y= |2-3| =1
Now we multiply this distance by the dilation factor
x_distance = 7 * 1.5 = 10.5
y_distance = 1 * 1.5 = 1.5
Now we need to find coordinates for points D' and E'.
Point D':
x = -4 - 1.5 = -5.5
y = 2 + 1.5 = 3.5
Point E':
x= -4 + 10.5 = 6.5
y= 2 + 1.5 = 3.5
D'(-5.5, 3.5)
E'(6.5,3.5)
Ответ: