Question

Graph the image of Triangle KLM after a dilation with a scale factor of 4, centered at the origin.

Answer 1

Triangle KLM after a dilation with a scale factor of 4, Point K'(-12, 0) - Point L'(-12, 12) - Point M'(8, -8)

To graph the image of Triangle KLM after a dilation with a scale factor of 4, centered at the origin, you can follow these steps:

1. Identify the vertices of Triangle KLM: K(-3,0), L(-3,3), M(2,-2).
2. Apply the dilation to each vertex using the scale factor of 4.
3. Plot the new vertices to obtain the image of the triangle.

The new coordinates for each vertex:

• For point K(-3,0): New_x_K = -3 * 4 = -12, New_y_K = 0 * 4 = 0. So, the new coordinates for K are (-12, 0).
• For point L(-3,3): New_x_L = -3 * 4 = -12, New_y_L = 3 * 4 = 12. So, the new coordinates for L are (-12, 12).
• For point M(2,-2): New_x_M = 2 * 4 = 8, New_y_M = -2 * 4 = -8. So, the new coordinates for M are (8, -8).

Now, let's plot these new points on the graph:

• Original Triangle KLM: - Point K(-3,0) - Point L(-3,3) - Point M(2,-2)
• Image after dilation: - Point K'(-12, 0) - Point L'(-12, 12) - Point M'(8, -8)

Answer 2

After a dilation with a scale factor of 3, entered at the origin )(0,0. Then the points tin the triangle centered at the origin:

K(0,0)

L(3,3)

M(5, -2)