Answer:
D)
9 units
Step-by-step explanation:
Segment AB has endpoints A(–4, 6) and B(1, 4). After a dilation, centered at the origin, the image of A is (–6, 9). Without meas
2 answers:
If the image is centered at the origin you can divide the terms of the image from the preimage to find the scale or ratio at which it was dilated. In this case, you will use the points of A because the point b does not matter in this case.
and 
so the image is dilated by a scale of 1.5
now that we know the scale we multiply the points of B by the scale to get the image. 1*1.5 = 1.5 and 4*1.5 = 6 so the image for B is (1.5, 6)
now that we know the scale we multiply the points of B by the scale to get the image. 1*1.5 = 1.5 and 4*1.5 = 6 so the image for B is (1.5, 6)
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The answer is 80 ft.
Based on the diagram we know that the tree triangle and the building triangle are similar triangles where the lengths of each are proportional to the other.
The lengths of the triangle the tree makes are half of the lengths of the building triangle. So this problem can be solved using ratio and proportion:
to solve for x, all you need to do is cross multiply then divide.
The answer is then 80ft.
Another way to solve this is just by using logic. If the lengths of the tree triangle is half of the building, simply divide the lengths of the building triangle by two.
160ft/2 = 80ft.
Based on the diagram we know that the tree triangle and the building triangle are similar triangles where the lengths of each are proportional to the other.
The lengths of the triangle the tree makes are half of the lengths of the building triangle. So this problem can be solved using ratio and proportion:
to solve for x, all you need to do is cross multiply then divide.
The answer is then 80ft.
Another way to solve this is just by using logic. If the lengths of the tree triangle is half of the building, simply divide the lengths of the building triangle by two.
160ft/2 = 80ft.