Write the coordinates of the vertices after a dilation with a scale factor of 3, centered at the origin.

Question

Q
'
,
R
'
,
S
'
,

Answer 1

To perform a dilation with a scale factor of 3 centered at the origin, you multiply the coordinates of each vertex by the scale factor.

Let's assume the original coordinates of the vertices of triangle QRS are as follows:

• $Q(x_1,y_1)$
• $R(x_2,y_2)$
• $S(x_3,y_3)$

The coordinates of the vertices after dilation would be:

• $Q^{\prime }=(3x_1,3y_1)$
• $R^{\prime }=(3x_2,3y_2)$
• $S^{\prime }=(3x_3,3y_3)$

If you provide the specific coordinates of vertices Q, R, and S, I can give you the exact coordinates after the dilation.