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Triangle abc is dilated by a scale factor of 2 with a center of dilation at the origin. What are the coordinates of image point c’? Please help

Triangle abc is dilated by a scale factor of 2 with a center of dilation at the origin-example-1
User Debo
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2 Answers

4 votes

Answer:

B is the awnser

Explanation:

User Gianluca Paris
by
8.8k points
2 votes

Given:

The triangle is ΔABC.

The coordinates of the ΔABC are A(1,1), B(1.5,3) and C(2,1).

To find the the coordinates of the point C after the dilation with a scale factor of 2 centered at the origin.

Formula:

The coordinate to dilate a factor of c from the origin is given by
(x,y) \rightarrow (cx,cy)

Therefore,

Applying the above rule for C(2,1) is dilated by scale factor of 2 centered at origin we get,


(2,1) \rightarrow (2(2),2(1))

After simplification we get,


(2,1) \rightarrow (4,2)

Hence,

The coordinate of C after dilation is (4,2).

Thus, Option B is the correct answer.

User Bijendra
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8.5k points

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