Trapezoid w′x′y′z′ is the image of trapezoid wxyz under a dilation through point c. what scale factor was used in the dilation?

Option C.

Step-by-step explanation:

Two trapezoids W'X'Y'Z' and WXYZ have been given in the figure attached.

Trapezoid WXYZ has been dilated to form another trapezoid W'X'Y'Z'.

We have to find the scale factor by which WXYZ was dilated.

Dilation factor =

=

=

Therefore, is the dilation factor by which trapezoid WXYZ was dilated.

Option C is the answer.

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

sorry i just need to anwers this to get points

step-by-step explanation: