Question

Triangle KLM has the coordinates K(-1, 2), L(2, 9), and M(5, 2). Which of the following sets of points represents a dilation from the origin of triangle KLM?

A) K'(-6, 2), L'(12, 9), M'(30, 2)

B) K'(5, 8), L'(8, 15), M'(11, 8)

C) K'(-6, 2), L'(2, 54), M'(30, 2)

D) K'(-6, 12), L'(12, 54), M'(30, 12)

Answer 1

To determine which set of points represents a dilation from the origin of triangle KLM, compare the coordinates of each set and check for a scaling factor. Only Set B represents a dilation.

Step-by-step explanation:

To determine which set of points represents a dilation from the origin of triangle KLM, we need to check if the corresponding coordinates of each point are scaled versions of the original coordinates. A dilation from the origin means that each coordinate (x, y) is multiplied by a constant scale factor. Let's check each set of points:

• Set A: K'(-6, 2), L'(12, 9), M'(30, 2)
• Set B: K'(5, 8), L'(8, 15), M'(11, 8)
• Set C: K'(-6, 2), L'(2, 54), M'(30, 2)
• Set D: K'(-6, 12), L'(12, 54), M'(30, 12)

After comparing the corresponding coordinates, we find that only Set B represents a dilation from the origin of triangle KLM.