Question

1. dilation of △bcd with vertices b(4,4) c(8,14) d(12,0), given the scale factor k = 1/4. b( , ), c( , ), d( , )

Explanation:

Step1: Calculate new x - coordinate of B'

Multiply x - coordinate of B by k. $4\times\frac{1}{4}=1$

Step2: Calculate new y - coordinate of B'

Multiply y - coordinate of B by k. $4\times\frac{1}{4}=1$

Step3: Calculate new x - coordinate of C'

Multiply x - coordinate of C by k. $8\times\frac{1}{4}=2$

Step4: Calculate new y - coordinate of C'

Multiply y - coordinate of C by k. $14\times\frac{1}{4}=\frac{7}{2}$

Step5: Calculate new x - coordinate of D'

Multiply x - coordinate of D by k. $12\times\frac{1}{4}=3$

Step6: Calculate new y - coordinate of D'

Multiply y - coordinate of D by k. $0\times\frac{1}{4}=0$

Answer:

B'(1, 1), C'(2, $\frac{7}{2}$), D'(3, 0)