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What would be the new coordinates of the figure below if it is translated the figure 4 units horizontally and -2 units vertically?

What Would Be The New Coordinates Of The Figure Below If It Is Translated The Figure 4 Units Horizontally And 2 Units Vertically class=

Sagot :

Given the coordinates of recatangle ABCD:

A(-3, 1), B(2, 1), C(2, -2), D(-3, -2)

Let's find the new coordinates after the rectangle is translated 4 units horizontally and -2 units vertically.

Let's apply rules of translation.

A translation 4 units horizontally means a shift 4 units to the right.

It is written as: (x + 4)

A translation -2 units vertically means a shift 2 units downwards.

It is written as: (y - 2)

Thus, to find the new coordinates, add 4 to the x-coordinates and subtract 2 from the y-cooridnates.

We have the translation rule: (x + 4, y - 2)

We have:

A(-3, 1) ==> (-3 + 4, 1 - 2) ==> A'(1, -1)

B(2, 1) ==> (2 + 4, 1 - 2) ==> B'(6, -1)

C(2, -2) ==> (2 + 4, -2 - 2) ==> C'(6, -4)

D(-3, -2) ==> (-3 + 4, -2 - 2) ==> (1, -4)

Therefore, the new coordintes of the figure are:

A'(1, -1), B'(6, -1), C'(6, -4), D(1, -4)

ANSWER:

A'(1, -1), B'(6, -1), C'(6, -4), D'(1, -4)

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