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Square ABCD is dilated by a scale factor of 2 with the center of dilation at the origin to form square ABCD . What are the coordinates of vertex B. A(2,7) C(8,1) D(2,1)

Square ABCD is dilated by a scale factor of 2 with the center of dilation at the origin to form square ABCD What are the coordinates of vertex B A27 C81 D21 class=

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frika

Answer:

B'(16,14)

Step-by-step explanation:

In square ABCD,  A(2,7) C(8,1) D(2,1). First, find the coordinates of the vertex B. From the attached diagram you can see that CD=6 units and is parallel to the x-axis, AD=6 units and is parallel to the y-axis. So, B(8,7).

The origin O is the center of dilation, 2 is the scale factor. The rule of the dilation is

(x,y)→(2x,2y)

Thus,

B(8,7)→B'(16,14) (see attached figure).

Ver imagen frika

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