Answer:
Solution : Option A
Step-by-step explanation:
We are given Triangle XYZ, where X(7, 2), Y(-3, 8), and Z(-4, 6) is dilated with a scale factor of 2/3. To determine where the dilation is located, we will have to multiply the coordinates of each point by the given scale factor of 2 / 3. It will be as follows.
X(7, 2) ⇒ [tex]\left(7\:\cdot \:\frac{2}{3},\:2\cdot \frac{2}{3}\:\right)[/tex] = [tex](14 / 3, 4 / 3)[/tex]
Y(- 3, 8) ⇒ [tex]\left(-3\:\cdot \:\frac{2}{3},\:8\cdot \frac{2}{3}\:\right)[/tex] = [tex](-2, 16 / 3)[/tex]
Z(- 4, 6) ⇒ [tex]\left(-4\:\cdot \:\frac{2}{3},\:6\cdot \frac{2}{3}\:\right)[/tex] = [tex](-8/3,4)[/tex]
As you can see your solution is option a. We have our dilated points as X'( 14 / 3, 4 / 3 ), Y'(- 2, 16 / 3), and Z'(- 8 / 3, 4).
