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cupoosta [38]
3 years ago
13

Given triangle ABC with AB = 3 , BC = 5 , and CA = 6 . X is the midpoint of AC and is the midpoint of CB. What is the relationsh

ip between XY and AB?
A) congruent
B) parallel
C) perpendicular
D) similar
Mathematics
1 answer:
Helga [31]3 years ago
7 0

parallel accroding to the mid point theorems.

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3 years ago
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zalisa [80]

Answer:

\displaystyle M =  ( 3,1 )

Step-by-step explanation:

we are given the endpoint i.e P and Q of a line segment

we want to figure out the Midpoint of the Line segment

in order to do so we can use Midpoint formula given by

\displaystyle M =  \bigg( \frac{ x_{1} +  x_{2}  }{2}  , \frac{ y_{1} +  y_{2}}{2}  \bigg)

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x_1=-2\\x_2=8\\y_1=-2\\y_2=4

substitute

\displaystyle M =  \bigg( \frac{  - 2 +  8}{2}  , \frac{  - 2 +  4}{2}  \bigg)

simplify addition:

\displaystyle M =  \bigg( \frac{  6}{2}  , \frac{  2}{2}  \bigg)

simplify division:

\displaystyle M =  ( 3,1 )

hence,

the Midpoint of the line segment is (3,1)

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boyakko [2]
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