Question

Rectangle ABCD has a vertex coordinates A(1,-2) B(4,-2) C(4,-4) and D(1,-4) it is translated 1 unit to the left and 3 units up what are the coordinates of a

Answer 1

Answer:

  A'(0, 1), B'(3, 1), C'(3, -1), D'(0, -1)

Step-by-step explanation:

Add (-1, 3) to each of the given points:

  A' = A + (-1, 3) = (1-1, -2+3) = (0, 1) . . . . for example

Answer 2

Answer:  The required co-ordinates of A after translation are (0, 1).

Step-by-step explanation:  Given that the co-ordinates of the vertices of a rectangle ABCD are A(1,-2) B(4,-2) C(4,-4) and D(1,-4).

The rectangle ABCD is translated 1 unit o he left and 3 units up.

We are to find the co-ordinates of A after translation.

We know that

if a point (x, y) is translated a units to the left and b units up, then its co-ordinates changes according to the following rule :

(x, y)    ⇒      (x-a, y+b).

In the given translation, a = 1  and  b = 3.

Therefore, the new co-ordinates of A after translation are

A(1, -2)   ⇒   (1-1, -2+3) = (0, 1).

Thus, the required co-ordinates of A after translation are (0, 1).