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AURORKA [14]
3 years ago
6

Dilate triangle ABC by a factor of 2 around point A. What are the coordinates of B Q1 (1,0) Q2 (1,-1) Q3 (1,-2) Q4 (2,-4)

Mathematics
2 answers:
kkurt [141]3 years ago
8 0

Answer:

Option 3: (1,-2)

Step-by-step explanation:

From the given figure it is clear that the vertices of triangle ABC are A(1,4), B(1,1), C(4,1).

If a figure dilated by the factor k and the center of dilation is point (a,b), then the rule of dilation is

(x,y)\rightarrow (k(x-a)+a,k(y-b)+b)

The figure ABC dilated by the factor 2 and the center of dilation is point A(1,4).

(x,y)\rightarrow (2(x-1)+1,2(y-4)+4)

(x,y)\rightarrow (2x-2+1,2y-8+4)

(x,y)\rightarrow (2x-1,2y-4)

The coordinates of B after dilation are

B(1,1)\rightarrow B'(2(1)-1,2(1)-4)

B(1,1)\rightarrow B'(1,-2)

The coordinates of B after dilation are (1,-2).

Therefore, the correct option is 3.

GuDViN [60]3 years ago
4 0
The answer would be Q3 (1,-2)
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