anonymous
  • anonymous
ABCD is a square where A is the point (0,2) and C is the point (8,4). AC and BD are diagonals of the square and they intersect at E. Find the coordinates of B and D. Do you have any method other than using a vector
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
amistre64
  • amistre64
yes, but its complicated :)
anonymous
  • anonymous
could you show me? thx alot!
amistre64
  • amistre64
since a square has diags that are perp to each other; we need 2 lines that meet in the middle of AC

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

amistre64
  • amistre64
the slope of a line is the important part here; once we know the slope of the line from A to C we can determine other things
amistre64
  • amistre64
the slope of a line is found by a slope formula:\[m=\frac{y1-y2}{x1-x2}\] but i tend to step it out. 1) subtract the points 2) stack y/x
amistre64
  • amistre64
C (8,4) -A (0,2) ------- 8,2; stack y/x: 2/8 = 1/4 for our slope
amistre64
  • amistre64
perp slopes have the habit of being the negative reciprocal of each other. m1*m2 = -1
amistre64
  • amistre64
perp slope for th eline from B to D is then: -4/1
amistre64
  • amistre64
we need a common point for these to meet at, which is the middle of the square and hence E the midpoint is just the average of 2 other points. Add the points and divide by 2 C (8,4) +A (0,2) -------- (8,6)/2 = (4,3) as out point for E
amistre64
  • amistre64
|dw:1327673742761:dw|
amistre64
  • amistre64
this is what weve got drawn up in out heads, or on paper
amistre64
  • amistre64
i know, this is where I had a brillant notion last time ... and I just remembered it :)
amistre64
  • amistre64
think of a pinwheel ....
amistre64
  • amistre64
|dw:1327674432861:dw|
amistre64
  • amistre64
our x and y parts for A to E are going to be swapped and negated for the perp from B to E
amistre64
  • amistre64
|dw:1327674563395:dw|
amistre64
  • amistre64
we know to go from A to E is over 4 and up 1 (x=4, y=1) these are the distances needed for the rest of them as well right? just perp them (x=1, y=-4) is our directions from E to D (x=-1, y=4) is our directions from E to B
amistre64
  • amistre64
E (4,3) E (4, 3) +(-1,4) + (1,-4) ------ -------- B (3,7) D (5,-1)
amistre64
  • amistre64
that should clean up the right path a little better :)
anonymous
  • anonymous
i kind of get it from the pinwheel ting
anonymous
  • anonymous
ok thx:)
amistre64
  • amistre64
the pinwheel thing is a very good visual to guide us :)

Looking for something else?

Not the answer you are looking for? Search for more explanations.