Question

Find the midpoint of the segment with the endpoints:(1, 7) and (9, 0) ​

Answer 1

Answer:

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Answer 2

Given :

• Endpoints:(1, 7) and (9, 0)

To Find :

• Midpoint of the segment = ?

Answer:

• $\large \boxed{ \sf Midpoint = \bigg\lgroup 5,3.5 \bigg \rgroup}$

Step-by-step explanation:

$\bigstar \: \underline{\sf Let \: the \: points \: be \: A\: and \:B :}$

$\bullet \: \rm{A(1\:, 7) \longrightarrow \: (x_1\: ,y_1)}$

$\bullet \: \rm{B(9 ,\:0) \longrightarrow \: (x_2 ,\: y_2)}$

$\bigstar\:\underline{\sf Finding \: the \: midpoint} :$

$: \implies \sf{Midpoint = \bigg \lgroup \dfrac{x_1 \:+ x_2}{2} \: , \: \dfrac{y_1 + y_2}{2} \bigg \rgroup }$

$:\implies \sf Midpoint = \bigg\lgroup \dfrac{1 + 9}{2},\dfrac{7 + 0}{2} \bigg \rgroup$

$:\implies \sf Midpoint = \bigg\lgroup \dfrac{10}{2},\dfrac{7}{2} \bigg \rgroup$

$:\implies \underline{ \boxed{ \sf Midpoint = \bigg\lgroup 5,3.5 \bigg \rgroup}}$