Question

George has a triangle-shaped garden in his backyard. He drew a model of this garden on a coordinate grid with vertices A(4, 2), B(2, 4), and C(6, 4). He wants to create another, similar-shaped garden, A′B′C′, by dilating triangle ABC by a scale factor of 0.5. What are the coordinates of triangle A′B′C′?

A.
A′(2, 2), B′(1, 2), C′(3, 2)
B.
A′(2, 1), B′(1, 2), C′(3, 2)
C.
A′(8, 4), B′(4, 8), C′(12, 8)
D.
A′(2, 1), B′(1, 2), C′(6, 4)

Answer 1

Answer:

B

Step-by-step explanation:

you divided each cordinate by 2 so (4,2)/2 is (2,1) .

(2,4)/2 = (1,2)

6,2/2 =(3,2)

Answer 2

Answer:

b). A' (2,1) , B' (1,2), C' (3,2)

Step-by-step explanation:

Scale factor 0.5 = 1:2

Scale factor = $\frac{1}{2} = 0.5$

$A'= \frac{A}{2} =\frac{(4,2)}{2} =(2,1)\\ B'= \frac{B}{2} =\frac{(2,4)}{2} =(1,2)\\C'= \frac{C}{2} =\frac{(6,4)}{2} =(3,2)$