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3 years ago

What are the coordinates of the endpoints of the midsegment for DEF that is parallel to DE

Mathematics

1 answer:

Nutka1998 [239]3 years ago

6 0

Answer:

$\left(\dfrac{x_D+x_F}{2},\dfrac{y_D+y_F}{2}\right),$ $\left(\dfrac{x_E+x_F}{2},\dfrac{y_E+y_F}{2}\right).$

Step-by-step explanation:

Let points D, E and F have coordinates $(x_D,y_D),\ (x_E,y_E)$ and $(x_F,y_F).$

1. Midpoint M of segment DF has coordinates

$\left(\dfrac{x_D+x_F}{2},\dfrac{y_D+y_F}{2}\right).$

2. Midpoint N of segment EF has coordinates

$\left(\dfrac{x_E+x_F}{2},\dfrac{y_E+y_F}{2}\right).$

3. By the triangle midline theorem, midline MN is parallel to the side DE of the triangle DEF, then points M and N are endpoints of the midsegment for DEF that is parallel to DE.

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3 years ago

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3 years ago

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bija089 [108]

Answer

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3 years ago

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vaieri [72.5K]

Answer:

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Arithmetic sequence

Step-by-step explanation:

We are given that

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Substitute n=1

Then, we get

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For n=2

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For n=3

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$d_2=A_3-A_2=-1-4=-5$

$d_3=A_4-A_3=-6+1=-5$

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When the difference of consecutive terms are constant then the sequence is arithmetic sequence.

Therefore, given sequence is arithmetic sequence.

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3 years ago

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kifflom [539]

Answer:

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