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QRK is translated so that K is mapped to K'.  Which ordered pair represents either point Q' or R'?  F.(2,3)G.(2,-4)H.(1,-5)J.(0,7)

QRK Is Translated So That K Is Mapped To K Which Ordered Pair Represents Either Point Q Or R F23G24H15J07 class=

Sagot :

Answer

Q' (1, -5)

R' (0, 1)

We can see that only H (1, -5) matches one of these.

So, H (1, -5) is the ordered pair that represents either Q' or R'.

Explanation

To check the type of translation that has occured, we need to first write the coordinates of K and K'.

K (3, 1)

K' (5, -2)

A transformation to the right adds that number of units to the x-coordinate.

A transformation to the left subtracts that number of units from the x-coordinate.

A transformation up adds that number of units to the y-coordinate.

A transformation down subtracts that number of units from the y-coordinate.

So, for K' to come out of K, we need to add 2 units to the x-coordinate and subtract 3 units from the y-coordinate

K' (5, -2) = K (3 + 2, 1 - 3)

So, if either Q or R undergoes this same translation, it will entail a translation of 2 units to the right and 3 units downwards.

Q (-1, -2) = Q' (-1 + 2, -2 - 3) = Q' (1, -5)

R (-2, 4) = R' (-2 + 2, 4 - 3) = R' (0, 1)

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