Which shapes can the shaded area be divided into to find the area?
2 answers:
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Answer:
2.83
Step-by-step explanation:
using the pythagorean theorem, ≈
Claim: The measures of and
are equal
Answer: True
Explanation: Dilations preserve the shape of an image, so this means the angles are kept the same whether you shrink or enlarge the preimage.
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Claim: The coordinates of A and A' are the same
Answer: True
Explanation: The phrasing "dilating about point A" means that point A is the center of the universe, so to speak, in terms of this dilation operation. Point A is the fixed point that does not move while every other point does move. Because the scale factor is 2/3, which is less than 1, this means every other point comes closer to point A. So something like segment AB will get shorter.
Answer:
[6.5,-7.25]
Step-by-step explanation:
Given the partitioning ratio as 3:1
#Find the length of the x-coordinate and multiply by the ratio:
x length=9--1=10
=>
#We subtract 2.5 from the x-max to get the point=9-2.5=6.5
#Find the length of the y-coordinate and multiply by the ratio:
x length=-9--2=-7
=>
#We subtract -1.75 from the y-max to get the point=-9--1.75=-7.25
Hence, the coordinates that partitions the segment into a ratio of 3 to 1 is [6.5,-7.25]