Use the polygon tool to draw the image of the given quadrilateral under a dilation with a scale
factor of 2/3 and center of dilation (0,0).

See the picture attached.

Step-by-step explanation:

A Dilation is defined as  a transformation in which the image and the pre-image have the same shape, but their sizes are different.

When the scale factor is greater than 1, the image obtained after the  dilation is greater than the pre-image and it is an "Enlargement".

When the scale factor is is between 0 and 1,  the image obtained after the  dilation is smaller than the pre-image and it is an "Reduction".

In this case we know that the scale factor is:

Since:

It is a Reduction.

You can identify that the vertices of the quadritaleral are:

 So you need to multiply the coordinates of eac vertex by in order to get the coordinates of the image.

Then, you get:

Now you can plot the points and draw the image of the given quadrilateral.

See the picture attached.

answdf

step-by-step explanation: bcuz d is right

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.