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madenaz123
20.08.2021 •
Mathematics
ABCD is a quadrilateral with diagonals AC and BD intersecting at P, and AC is perpendicular to BD.
also AP = PC = BP =PD
Prove that:
1) AD = AB
2) AC bisects BÂD
3) BÂD = 90°
4) ABCD is a square
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Ответ:
option d
step-by-step explanation:
consider the parent function f(x)=|x|
a)
f(x)=|x|+3
the above function is simply a transformation of vertical shift of 3 units. hence cannot be wider but has the same width as parent function.
b) f(x) =|x-6|
this function is a transformation of 6 units to the right of the parent functions.hence cannot be wider but has the same width as parent function.
c) f(x)=|x|
this is nothing but the parent funciton itself.
hence cannot be wider but has the same width as parent function.
d) f(x) =9|x|
this is a dilation of the original graph with a scale factor of +9. hence would be 9 times wider as the parent function.
so option d is the right answer.