Question

21,463 Learners found this answer helpful

△klm is dilated by a scale factor of 2 with the center of dilation at the origin. what are the coordinates of point m?

Explanation:

Step1: Find the original coordinates of point M

From the graph, the coordinates of point \( M \) are \( (3,0) \).

Step2: Apply the dilation formula

When a point \( (x,y) \) is dilated by a scale factor \( k \) with the center of dilation at the origin, the formula for the new coordinates \( (x',y') \) is \( x'=k\times x \) and \( y'=k\times y \). Here \( k = 2 \), \( x = 3 \), \( y=0 \).
So \( x'=2\times3=6 \) and \( y'=2\times0 = 0 \).

Answer:

\((6,0)\)