quadrilateral ABCD has vertices A(-2,4), B(-3,-3), C(-5,-2) and D(-5,2). which of the following are the coordinates of A’ after a dialation with a scale factor of 2 1/2

quadrilateral ABCD has vertices A24 B33 C52 and D52 which of the following are the coordinates of A after a dialation with a scale factor of 2 12 class=

Respuesta :

Answer:

A (-5,10)

Step-by-step explanation:

x coordinate: (-2)(2.5)= -5

y coordinate: (4)(2.5)= 10

Answer:

Option A is correct

(-5, 10)

Step-by-step explanation:

Given the statement:

A quadrilateral ABCD has vertices

A(-2,4),

B(-3,-3),

C(-5,-2) and

D(-5,2).

We have to find the coordinates of A’ after a dilation with a scale factor of  [tex]2\frac{1}{2}=2.5[/tex]

The rule of dilation with scale factor k is given by:

[tex](x, y) \rightarrow (kx, ky)[/tex]

Apply the rule of dilation with scale factor k = 2.5 on  quadrilateral ABCD,

[tex]A(-2, 4) \rightarrow (2.5 \cdot -2, 2.5 \cdot 4)=A'(-5,10)[/tex]

Therefore, the coordinates of A' after a dilation with a scale factor of  [tex]2\frac{1}{2}[/tex] is, (-5, 10)