Question

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

Answer 1

A (-5,10)

Explanation:

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

y coordinate: (4)(2.5)= 10

Answer 2

Option A is correct

(-5, 10)

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
`2(1)/(2)=2.5`

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

`(x, y) \rightarrow (kx, ky)`

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

`A(-2, 4) \rightarrow (2.5 \cdot -2, 2.5 \cdot 4)=A'(-5,10)`

Therefore, the coordinates of A' after a dilation with a scale factor of
`2(1)/(2)` is, (-5, 10)