Question

triangle mnp is dilated according to the rule ( d_{o, 1.5} (x,y) \to (1.5x, 1.5y) ) to create the image triangle mnp, which is not shown. what are the coordinates of the endpoints of segment mn? (\bigcirc) m(-6, 9) and n(4, 9) (\bigcirc) m(-6, 9) and n(3, 9) (\bigcirc) m(-2, 3) and n(7, 9) (\bigcirc) m(-2, 3) and n(1, 3)

Explanation:

Step1: Find coordinates of M and N

From the graph, \( M(-4, 6) \), \( N(2, 6) \).

Step2: Apply dilation rule \( (x,y)\to(1.5x, 1.5y) \)

For \( M \): \( x = -4 \), \( y = 6 \).
\( 1.5\times(-4)= -6 \), \( 1.5\times6 = 9 \). So \( M'(-6, 9) \).
For \( N \): \( x = 2 \), \( y = 6 \).
\( 1.5\times2 = 3 \), \( 1.5\times6 = 9 \). So \( N'(3, 9) \).

Answer:

M'(-6, 9) and N'(3, 9)