Draw a Dilation of the Polygon With the Given Vertices Using the Given Scale Factor of K. A (0,0), B (0,3), C (2,4), D (2, -1). K= 13/2.?

Question

I need help with this, as my math teacher does not explain things well in class. She decided to teach this lesson knowing that only 15 minutes of class remained; thus making me confused.

Answer 1

Let's assume we are dilating about the origin, (0,0).  Follow the 4 step process below to perform the dilation.

 

Step 1. Point A is located at the origin, so it doesn't move: Point A' = Point A.

 

Step 2.  Measure the x and y distance from the origin to point B. Point B is 0 units on the x-axis and 3 units up (y) from the origin. So for a scale factor of 13/2, the dilated point, B'’, is located at B' = (0*13/2,3*13/2) = (0,39/2).  

Step 3. Repeat for points C and D:

C' = (2*13/2,4*13/2) = (13,26)

D' = (2*13/2,-1*13/2) = (13,-13/2)

 

Step 4. Plot points A', B', C', and D' and connect them with a straight edge.  View the original and dilated figures here:

 

 http://www.wyzant.com/resources/files/300463/dilation_of_a_trapezoid

Answer 2

Hello, Eliana

 

This a dilation.  Which means that you are enlarge this quadrilateral .  So, this quadrilateral will be 6.5 times bigger than the original. All you are going to do is multiply each coordinate by the scale factor.  The scale factor in this problem is 13/2 or 6.5. 

 

Original                         multiply 6.5 by         multiply 6.5 by            New coordinate

 before dilation                the x value                 the y- value               after dilation

 

A(0,0)                              0*6.5=0                    0*6.5= 0                     A'(0,0)

B(0,3)                              0*6.5=0                    3*6.5= 19.5                B'(0,19.5)

C(2,4)                              2*6.5=13                  4*6.5=26                    C'(13, 26)

D(2,-1)                             2*6.5=13                  -1*6.6=-6.5                D'(13,-6.5)        

 

If you are asked to graph it, just graph the regular way.  Thats it.  You see how simple this is.. Piece of cake.  Good luck with your teacher... ask her for help after school or before school.  Wont hurt if you try.  

 

D. Y. Taylor