Graph the image of this figure after a dilation with a scale factor of 2 centered at the origin.
1 answer:
Answer:
The graph of the image is attached below.
Step-by-step explanation:
Let the points of the figure
- A(1, -1)
- B(3, -1)
- C(1, 2)
- D(3, 2)
We need to find the image coordinates after the dilation by a scale factor of 2 centered at the origin.
The rule of dilation by a scale factor of 2 is:
Dilation with scale factor 2, multiply by 2.
(x, y) → (2x,2y)
The coordinates of the vertices of the image according to this rule will be:
(x, y) → (2x,2y)
A(1, -1) → (2(1),2(-1)) = A'(2, -2)
B(3, -1) → (2(3),2(-1)) = B'(6, -2)
C(1, 2) → (2(1),2(2)) = C'(2, 4)
D(3, 2) → (2(3),2(2)) = D'(6, 4)
Therefore, the coordinates of the vertices of the image will be:
- A'(2, -2)
- B'(6, -2)
- C'(2, 4)
- D'(6, 4)
The graph of the image is attached below.
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