Question

Easy Geometry question! MEDAL + FAN!

Parallelogram FGHI on the coordinate plane below represents the drawing of a horse trail through a local park:

In order to build a scale model of the trail, the drawing is enlarged as parallelogram ABCD on the coordinate plane. If two corners of the trail are at point A (3, 8) and point D (1, 2), what is another point that could represent point B?

A. (10, 8)
B. (13, 8)
C. (8, 8)
D. (6, 8)

Answer 1

I think it's B.

Answer 2

i think it is c

Answer 3

n order to build a scale model of the trail, the drawing is enlarged as parallelogram ABCD on the coordinate plane. If two corners of the trail are at point A (−2, 7) and point D (−10, −1), what is another point that could represent point B?

(14, 7)

(10, 7)

(12, 7)

(8, 7)
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superdcmarvel
how would i locate the coordinates?
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superdcmarvel
is this like dilation?
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superdcmarvel
i know there some sort f formula in here right?
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nightowl
we need the length AD
and divide that by the corresponding length FI
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superdcmarvel
so

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superdcmarvel
how do you add coordinate points?
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superdcmarvel

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nightowl

0:00

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superdcmarvel

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nightowl
length AD =
length FI =
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superdcmarvel
whats the distance formula?
let me find it lol
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superdcmarvel

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superdcmarvel
let me find the distance for AD
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superdcmarvel
ok
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nightowl
you can also use wolfram
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nightowl
AD = 8 √2
http://bit.ly/1iI7gh2
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superdcmarvel

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superdcmarvel
oh forgot to square root
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superdcmarvel

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superdcmarvel
im so wrong
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superdcmarvel
can you show me what you did?
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superdcmarvel
how did you get 10?
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nightowl
i made a typo. here is the fixed version
http://bit.ly/1iI7gh2
AD = 8 √2
FI = 2 √2

AD / FI = ( 8 √2 ) / ( 2 √2 ) = 4
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superdcmarvel
so now we find the distance for FI ?
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nightowl
the same way, using the distance formula
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nightowl
distance between (4,-2) and (2,-4) is
(4−2)2+(−2−(−4) )2−−−−−−−−−−−−−−−−−−−√=(4−2)2+(−2+4)2−−−−−−−−−−−−−−−−√=(2)2+(2)2−−−−−−−−−√=4+4−−−−√=8√=22√
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superdcmarvel
sqrt 8
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superdcmarvel
=2.8
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superdcmarvel
AD= 11.3

FI =2.8
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nightowl
right. and now AD/ FI is 4
you will get some error because you are rounding with decimals. but if you used radicals it would be exactly 4
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superdcmarvel
4 is the factor right?
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nightowl
since 4 is the scale factor
multiply the length of side FG by 4
FG has length 3. (thats easy because its a horizontal line)
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superdcmarvel
do i use the distance formula again but for FG and then multiply it by 4?
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nightowl
you could, but you can save time by observing that the length is the difference of the x coordinates
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superdcmarvel
how? how do you see i? 0_o
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nightowl
the two points make a horizontal line segment
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superdcmarvel

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superdcmarvel
thats horizontal right?
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superdcmarvel
FG=3
http://www.wolframalpha.com/input/?i=find+the+distance+between+%284%2C-2%29+and+%287%2C-2%29
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superdcmarvel
So
3 * 4 = 12 ?
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superdcmarvel
is 12 equal of the x coordinate?
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nightowl
be careful, you want to add 12 steps
from where A starts
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superdcmarvel
12 steps?
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nightowl
12 is the length of AB
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nightowl
http://prntscr.com/8zt8mg
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superdcmarvel
ohhh
we know that A is (-2,7) so i use substitution to find the value of b?

A + B =12
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superdcmarvel
http://www.wolframalpha.com/input/?i=find+the+distance+between+%2810%2C7%29+and+%28-2%2C7%29

is B = (10,7) ?
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nightowl
yes
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superdcmarvel
thank you so much~ ^~^

Answer 4

http://www.peeranswer.com/question/563cf81d4db0a492784dde85

Answer 5

because when i'm looking at the graph that you provide, it is the only onle that makes sense you want to make it look like you are moving the graph up, not turning the graoh sround

Answer 6

does that make sen?se?

Answer 7

click that link @babyboy2332 it has the same question you have and it has the answers

Answer 8

I'm not really sure. I thought B would make the most sense because that would make it a larger version of parallelogram FGHI, but C would make it rotated, wouldn't it? @RhondaSommer

Answer 9

@alibaby Thank you!

Answer 10

welcome @babyboy2332

Answer 11

while it does make sense that is could be like that and rotated, the question doesn't say anything about the parallelogram being rotated