Question

if abcd is dilated by a factor of 3, the coordinate of b would be:
(graph with points a, b, c, d; b = (?, ))

Explanation:

Step1: Find coordinate of B

From the graph, the coordinate of point \( B \) is \( (-2, 2) \).

Step2: Apply dilation factor

To dilate a point \((x, y)\) by a factor of \( k \), we use the rule \((x', y')=(k\times x, k\times y)\). Here, \( k = 3 \), \( x=-2 \), \( y = 2 \).
So, \( x'=3\times(-2)=-6 \) and \( y'=3\times2 = 6 \).

Answer:

\( B'=(-6, 6) \)