The vertices of a quadrilateral ABCD are A(-7, -2), B(-3, -2), C(-4, -5), and D(-8, -5). The vertices of another quadrilateral FECD are F(-7, -8), E (-3, -8), C(-4, -5), and D(-8, -5). Which conclusion is true about the quadrilaterals?

Their shape and size are same.

They have unequal corresponding angles.

They have unequal corresponding sides.

They are similar figures.

Question

The vertices of a quadrilateral ABCD are A(-7, -2), B(-3, -2), C(-4, -5), and D(-8, -5). The vertices of another quadrilateral FECD are F(-7, -8), E (-3, -8), C(-4, -5), and D(-8, -5). Which conclusion is true about the quadrilaterals?

 Their shape and size are same.

 They have unequal corresponding angles.

 They have unequal corresponding sides.

 They are similar figures.

anonymous · Answer

@amistre64

anonymous · Answer

please help

amistre64 · Answer

i would suggest moving them both so that a corresponding vertex is at the origin, then you have something easier to compare

amistre64 · Answer

D seems to be the furthest negative, adjust by it

 A(-7, -2),  B(-3, -2),  C(-4, -5), and D(-8, -5). 
       8  5         8   5          8  5                8    5
-------------------------------------------
       1 3          5  3           4  0                0   0



D is again a prime suspect for moving

F(-7, -8), E (-3, -8), C(-4, -5), and D(-8, -5).
    8    5         8   5        8    5              8    5
----------------------------------------
    1     3       5   -3       4   0                0   0


what can we say about these points when we plot them?

anonymous · Answer

give me a sec

amistre64 · Answer

first is 1 -3

amistre64 · Answer

1, 3          5, 3

0 ,0          4 , 0

     1,-3         5,-3

anonymous · Answer

when we plot them one is longer than the other but itoverlaps the smaller one

anonymous · Answer

so they have unequal corresponding sides?

amistre64 · Answer

length is the same,  distance from the middle is same, have similar if x,y parts

amistre64 · Answer

they the same sorresponding side lengths

anonymous · Answer

wait.. by process of elimination it cant be A B or C can it?

amistre64 · Answer

well, it cant be B or C,  and it depends on how you want to define similar ....

amistre64 · Answer

to me, all congruent shapes are similar; but not all similar shapes are congruent;  but that might not be an accurate definition

anonymous · Answer

well similar in basic geometry is anything that is equal in shape and side length ratios but unequal in side

anonymous · Answer

in other words a small square and a big square are similar

amistre64 · Answer

what we have here are the same "square" once just mirrored

anonymous · Answer

So it couldbe A or D

amistre64 · Answer

its most likely A,  i might just have a different definition of "similar" shapes.

to me:  if the ratio of corresponding sides is the same, its similar

congruent shapes have the same ratio, that ratio is just 1

anonymous · Answer

thats mine also 
like if you have a 12x6 rectangle its similar to a 6x3

anonymous · Answer

Thanks!

amistre64 · Answer

good luck

anonymous · Answer

YOU GOTS A MEDAL!
lol

anonymous · Answer

thanks
this is my final lol