The new vertices are (0 , 0) , (8 , 32) , (36 , 12)
Step-by-step explanation:
Let us revise the dilation of a point
- If point (x , y) dilated by scale factor k and center origin, then its image is (kx , ky)
- If k > 1, then the coordinates of the image are greater than x and y
- If 0 < k < 1, the coordinates of the image are smaller than x and y
∵ The triangle has vertices (0 , 0) , (2 , 8) , (9 , 3)
∵ The triangle is dilated with center origin
∵ The scale factor is 4
- Multiply the coordinates of each vertex by 4 to find their images
∵ (0 × 4 , 0 × 4) = (0 , 0)
∴ The image of the vertex (0 , 0) is (0 , 0)
∵ (2 × 4 , 8 × 4) = (8 , 32)
∴ The image of the vertex (2 , 8) is (8 , 32)
∵ (9 × 4 , 3 × 4) = (36 , 12)
∴ The image of the vertex (9 , 3) is (36 , 12)
The new vertices are (0 , 0) , (8 , 32) , (36 , 12)
Learn more:
You can learn more about dilation in brainly.com/question/2480897
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