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

1. perpendicular

2. parallel

3. perpendicular

step-by-step explanation: given equation a = h(b 1+b 2)

also we are given values of a, h and b 1 as :

a = 16, h = 4, and b 1 = 3.

in order to solve it for b 2, we need to plug the given values of   a, h and b 1 .

therefore, plugging values of   a, h and b 1   in given equation, we get

16 = 4( 3 + b 2)

first dividing both sides by 4, we get

4 = 3 + b 2

subtracting 3 from both sides, we get

4 -3 = 3 -3 + b 2

1 = b 2.