Answer:
The image of the point after dilation by a scale factor 2 centered at the origin is (8, 14)
Step-by-step explanation:
If the point (x, y) dilated by a scale factor k centered at the origin, then its image is (k x, k y)
- Ex: If the point (-2, 3) is dilated by the scale factor 4 centered at the origin, then its image is (-2 × 4, 3 × 4) = (-8, 12)
Let us use this rule to answer the question
∵ The point is (4, 7)
∵ It is dilated by a scale factor of 2 centered at the origin
∴ k = 2
→ Multiply the coordinated of the point by 2 to find its image
∴ The image of the point = (4 × 2, 7 × 2)
∴ The image of the point = (8, 14)
∴ The image of the point after dilation by a scale factor 2 centered
at the origin is (8, 14)
