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dangina [55]
3 years ago
7

What is the translation of EFG with vertices E(3, 2), F(2, 5), G(−1, 2) by vector − − 1, 4 ?

Mathematics
1 answer:
sesenic [268]3 years ago
8 0

Answer:

The correct answer is (4 , 6); (3 , 9); (0 , 6)

Step-by-step explanation:

In translation by a vector, we simply add or subtract the coordinates of a point with the vector to get the translated coordinates of the point.

Here the vector is 1 , 4.

Thus, the point E(3 , 2) would translate to ( 3+1 , 2+4) = ( 4 , 6 ).

The point F(2 , 5) would translate to ( 2+1 , 5+4) = ( 3 , 9 ).

The point G(-1 , 2) would translate to ( -1+1 , 2+4) = ( 0 , 6 ).

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Step-by-step explanation:

We need to use the following formula to find the Midpoint "M":

M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Given the points (-5,13) and (6,4) can identify that:

x_1=-5\\x_2=6\\\\y_1=13\\y_2=4

The final step is to substitute values into the formula.

Therefore, the midpoint of the segment between the points (-5,13) and (6,4) is:

M=(\frac{-5+6}{2},\frac{13+4}{2})\\\\M=(\frac{1}{2},\frac{17}{2})\\\\M=(0.5,8.5)

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3 years ago
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see explanation

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D

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From the given picture, it can be seen that there is a plane H on which two pints J and K are located.

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