Shandelacruz0012idn
Answered

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Find the midpoint of each line segment. ​

Find The Midpoint Of Each Line Segment class=

Sagot :

Regzpanganibanhitaliidn

Answer:

3 and 2

Step-by-step explanation:

line segment yun lang

UK2019idn

✏️MIDPOINT

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Direction: Find the midpoint of each line segment.

  1. (1,-3) and (5,-4)
  2. (1,4) and (0,1)

Solution: To find the midpoint of each segments, we will use the formula.

[tex] \begin{aligned} &\bold{ \color{lightblue}Formula: } \\& \boxed{M = \bigg( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \bigg)} \end{aligned}[/tex]

1. (1,-3) and (5,-4)

  • [tex] \begin{aligned} {M = \bigg( \frac{1 + 5}{2}, \frac{ \text - 3 + ( \text - 4)}{2} \bigg)} \end{aligned}[/tex]

  • [tex] \begin{aligned} {M = \bigg( \frac{1 + 5}{2}, \frac{ \text - 3 - 4}{2} \bigg)} \end{aligned}[/tex]

  • [tex] \begin{aligned} {M = \bigg( \frac{6}{2}, \frac{ \text -7}{2} \bigg)} \end{aligned}[/tex]

  • [tex] \begin{aligned} {M = \bigg(3, \text-\frac{7}{2} \bigg)} \end{aligned}[/tex]

-Therefore, the midpoint of a segment is:

  • [tex] \large \rm {Midpoint = \boxed{ \green{ \bigg(3, \text-\frac{7}{2} \bigg)} }}[/tex]

[tex] \large \sf [/tex]

2. (1,4) and (0,1)

  • [tex] \begin{aligned} {M = \bigg( \frac{1 + 0}{2}, \frac{4 + 1}{2} \bigg)} \end{aligned}[/tex]

  • [tex] \begin{aligned} {M = \bigg( \frac{1}{2}, \frac{5}{2} \bigg)} \end{aligned}[/tex]

- Therefore the midpoint of a segment is:

  • [tex] \large \rm {Midpoint = \boxed{ \green{ \bigg( \frac{1}{2} , \frac{5}{2} \bigg)} }}[/tex]

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