The rule do,0.25 (x, y) → (0.25x, 0.25y) is applied to the segment lm to make an image of segment l'm', not shown. the coordinates of l' in the image are . the coordinates of m' in the image are . the length, l'm', is . the slope of the original segment and dilated segment are .

When a line segment is dilated, the original line segment and the new line segment will have the same slope.

Given that:

--- the dilation rule

The coordinates of L and M are:

To calculate the coordinates of L' and M', we simply multiply the scale of dilation by the coordinates of L and M.

means that the scale of dilation (k) is 0.25.

So, we have:

Similarly

The length L'M' is calculated using distance formula:

Where:

---

---

So, we have:

Hence, the length of L'M' is 0.5 units.

The slope (m) of a line is calculated using:

Dilation doesn't change the slope of a line. So, LM and L'M' will have the same slope

Calculating the slope of L'M', we have:

Hence, the slope of both lines is 0.

Read more about dilations at:

link

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