Question

im giving medals for the best answer




In ΔABC shown below, point A is at (0, 0), point B is at (x2, 0), point C is at (x1, y1), point D is at
(x sub 1/2 , y sub 1/2) and point E is at
( x sub 1+ x sub 2 /2, y sub 1 /2)


Prove that segment DE is parallel to segment AB.

Answer 1

hold on im trying to get the pic

Answer 2

https://lh4.ggpht.com/TGOfzjfa0LPnE-w4wIuorq1xLyW5wwaJkwARb33OLiLsWbIKMMBzS7GiW9vvksU80CDOEgg=s102

Answer 3

@hartnn @amistre64 please help me

Answer 4

parallel lines have the same slope ....

Answer 5

yes

Answer 6

what is the slope from A to B?

Answer 7

and, what is the slope from D to E?

Answer 8

im not sure

Answer 9

you might want to use a slope formula then: given 2 points (a,b) and (p,q)

the slope between them is defined to be:\[\frac{b-q}{a-p}\]

Answer 10

or stated another way:\[slope:\frac{\Delta~y~\text{: change in y}}{\Delta~x\text{: change in x}}\]

Answer 11

ok now how do i do that

Answer 12

they give yo the points for A and B; and D and E, plug them into the formula and compare the resutls.

if they are equal, they are the same slope, and therefore parallel .... if they are not the same then they are not

Answer 13

no there are no points did u look at the picture

Answer 14

um, you posted:

n ΔABC shown below,

point A is at (0, 0),
point B is at (x2, 0),
point C is at (x1, y1),
point D is at (x sub 1/2 , y sub 1/2)
point E is at ( x sub 1+ x sub 2 /2, y sub 1 /2)

Answer 15

notice the A and B have the same y values; y doesnt change:
the formula produces a slope of 0/n = 0


notice the D and E have the same y values; y doesnt change:
the formula produces a slope of 0/k = 0

since 0 = 0, they have the same slope

Answer 16

so that would be my answer??

Answer 17

that is an overview of what the answer will produce; it is up to you to actually put it into a format that is acceptable by whoever is grading it.

Answer 18

there are a number of ways that we can show that they lines are parallel, so I cant really say that this is the exact method you should employ. But it should give you an idea on how to approach it

Answer 19

ok thanks but do u also know someone else that can show me another way