Question

If a triangle with vertices A(2,3), B(2,-1), and C(5,-1) undergoes a dilation with a scale factor of 2, what are the coordinates of the vertices of the new triangle after the dilation?

Answer 1

The coordinates of the new triangle after a dilation with a scale factor of 2 are A'(4, 6), B'(4, -2), and C'(10, -2).

Step-by-step explanation:

To find the coordinates of the vertices of a new triangle after a dilation with a scale factor of 2, you need to multiply each coordinate of the original triangle's vertices by the scale factor. The original vertices are A(2,3), B(2,-1), and C(5,-1). After the dilation, the new coordinates will be:

• A'(2×2, 3×2) = (4, 6)
• B'(2×2, -1×2) = (4, -2)
• C'(5×2, -1×2) = (10, -2)

Therefore, the vertices of the new triangle are A'(4, 6), B'(4, -2), and C'(10, -2).