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
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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)