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IceJOKER [234]
3 years ago
5

How can you tell by looking at the coordinates of the two triangles that δ a'b'c' is a 180° rotation of δ abc?

Mathematics
1 answer:
irga5000 [103]3 years ago
5 0

Answer:

Option d is correct.

Both the x and y coordinates of the point on δa'b'c' have opposite signs from the corresponding points on δabc.

Step-by-step explanation:

The rule of 180 degree rotation about the origin is:

(x, y) \rightarrow (-x , -y)

Since a Rotation of a point through 180°, about the origin when a point a(h, k)  is rotated about the origin through 180° in anticlockwise or clockwise direction.

then, By the rule of 180 degree rotation;

a(h, k) \rightarrow a'(-h , -k)

so, it takes the new position i.e, a'(-h , -k)

Therefore, both the x and y coordinates of the point on δa'b'c' have opposite signs from the corresponding points on δabc.



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Step-by-step explanation:

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Answer:Step  1  :

Equation at the end of step  1  :

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Step  2  :

Equation at the end of step  2  :

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Step  3  :

Trying to factor by splitting the middle term

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     -100    +    -4    =    -104

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     -40    +    -10    =    -50

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     -20    +    -20    =    -40

     -16    +    -25    =    -41

     -10    +    -40    =    -50

     -8    +    -50    =    -58

     -5    +    -80    =    -85

     -4    +    -100    =    -104

     -2    +    -200    =    -202

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     1    +    400    =    401

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     5    +    80    =    85

     8    +    50    =    58

     10    +    40    =    50

     16    +    25    =    41

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