Question

A quadrilateral is plotted in the coordinate plane. Quadrilateral ABCD is dilated by a scale factor of 1/4.
What is the distance from D' and the origin? (Write the numerical value only rounded to 2 decimal places.)

Answer 1

Given :  Quadrilateral ABCD dilated by a scale factor of 1/4.

To Find : Distance between D' and the origin

Solution:

Image of the point  whose preimage is  P(x , y)  after dilation centered at the origin with scale factor k is the point  P (kx , ky)

Here D = ( 4 , 4)  from the graph

Scale factor  = 1/4

D' = ( (1/4)4 , (1/4)4 )

=> D' = (1  , 1)

Distance of D'  (1 , 1) from origin ( 0 , 0)

= √(1 - 0)² + (1 - 0)²

= √1 + 1

=√2

≈ 1.414

= 1.41  rounded to 2 decimal places.

Distance between D' and the origin  is 1.41

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