Here is the answer hope this helps
Points A,B, and C are collinear. Points M and N are the midpoints of segments AB and AC. Prove that BC = 2MN
2 answers:
Look at the picture.
1)|AM| = |MB| = x
|AN| = |NC| = y
|BC| = 2y - 2x = 2(y - x)
|MN| = y - x
Therefore |BC| = 2|MN|
2)|AM| = |MB| = x
|AN| = |NC| = y
|BC| = 2y - 2x = 2(y - x)
|MN| = y - x
Therefore |BC| = 2|MN|
1)|AM| = |MB| = x
|AN| = |NC| = y
|BC| = 2y - 2x = 2(y - x)
|MN| = y - x
Therefore |BC| = 2|MN|
2)|AM| = |MB| = x
|AN| = |NC| = y
|BC| = 2y - 2x = 2(y - x)
|MN| = y - x
Therefore |BC| = 2|MN|
Hello ! (<span>I attached a picture of the drawing)</span>
<span>First, we draw a line with 3 points B,A,C in this order.Then </span><span>we will note the middle of AB with M and also the middle of AC with N.
</span>
<span></span><span>We can notice that BC = AB + AC
</span>
<span>M - the middle of AB ⇒ AM=MB=AB/2</span>
<span>N - the middle of AC ⇒ AN=NC=AC/2
</span>
<span>We can write MN as AM+AN , which means AB/2 + AC/2 . We can also write AB as BC-AC , so we will have :
</span>
<span>MN = AB/2 + AC/2</span>
<span>MN = (BC-AC)/2 + AC/2</span>
<span>MN = BC/2 - AC/2 + AC/2 ( AC/2 with -AC/2 are reduced)</span>
MN = BC/2 or BC = 2·MN
<span>First, we draw a line with 3 points B,A,C in this order.Then </span><span>we will note the middle of AB with M and also the middle of AC with N.
</span>
<span></span><span>We can notice that BC = AB + AC
</span>
<span>M - the middle of AB ⇒ AM=MB=AB/2</span>
<span>N - the middle of AC ⇒ AN=NC=AC/2
</span>
<span>We can write MN as AM+AN , which means AB/2 + AC/2 . We can also write AB as BC-AC , so we will have :
</span>
<span>MN = AB/2 + AC/2</span>
<span>MN = (BC-AC)/2 + AC/2</span>
<span>MN = BC/2 - AC/2 + AC/2 ( AC/2 with -AC/2 are reduced)</span>
MN = BC/2 or BC = 2·MN
You might be interested in
Answer:
Step-by-step explanation:
I'm going to use the process of elimination to get rid of the equations. The equation for slope is y=mx+b with b being the y-intercept. As you can see the y-intercept in this graph is 4 which removes the third equation as a possible answer. The slope is moving from left to right in a downwards direction which means it is a negative slope. The only answer with a negative slope is b therfore it is your answer.