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solong [7]
3 years ago
7

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)
Mathematics
2 answers:
Nana76 [90]3 years ago
8 0

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)

Otrada [13]3 years ago
3 0

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)\\

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