IDENTIFYING DILATIONS Identify the dilation and find its sca

IDENTIFYING DILATIONS Identify the dilation and find its scale factor. FINDING SCALE FACTORS Identify the dilation, and find its scale factor. Then find the values of the variables. DILATIONS IN A COORDINATE PLANE Use the origin as the center of the dilation and the given scale factor to find the coordinates of the vertices of the image of the polygon.

Solution

Question 8)

k = CP\'/CP = 6/14 = 3/7

Since k is smaller than 1, therefore, delation type is reduction. And scale factor is 3/7

Question 9)

k = CP\'/CP = 24/9 = 8/3

Since k is larger than 1, therefore, delation type is enlargement. Scale factor is 8/3.

Question 10)

k = K\'M\'/KM = 28/14 = 2

Since k is larger than 1, therefore, delation type is enlargement. Scale factor is 2.

We can find x using

k = J\'K\'/JK

2 = 16/x

x= 8

Similarly, we can find y using :

k = J\'M\'/JM

2 = 32/y

y=16

Question 11)

k = A\'B\'/AB = 10/25 = 2/5

Since, k is less than 1, therefore, delation type is reduction. Scale factor is 2/5

We can find x, using:

A\'D\'/AD = k

8/x = 2/5

x=20

We can find y using:

B\'E\'/BE = k

8/y = 2/5

y = 20

D\'E\'/DE = k

10/z = 2/5

z = 25