Question

Triangle JKL with vertices J(-3,-12), K (-3, -12), and L(-8, -12); scale factor k=1/5, center of dilation (-13, -2)

a) The triangle remains unchanged.
b) The triangle is translated to the right.
c) The triangle is dilated and shifted to the left.
d) The triangle is rotated.

Answer 1

The true statement is that c) The triangle is dilated and shifted to the left.

How to determine the true statement after the dilation

From the question, we have the following parameters that can be used in our computation:

• JKL with vertices J(-3,-12), K (-3, -12), and L(-8, -12)
• Scale factor k = 1/5
• Center of dilation (-13, -2)

When a shape is dilated with a center other than the origin

• The figure shifts left if the scale factor is less than 1
• The figure shifts right if the scale factor is greater than 1

The scale factor 1/5 is less than 1

So, the true statement is c)