Question

A trapezoid ABCD is drawn on a coordinate grid as shown below.

Square ABCD. Each vertex labeled A(1, -2) B(1, 1) C(4, 1) D(6, -2)

Sean will draw a trapezoid EFGH similar to trapezoid ABCD. The length of EF should be 6 and point E should be located at (0, -2). At which points will vertices F and H be located?

F(0, 4), H(10, -2)

F(0, 4), H(6, 4)



F(7, 7), H(12, 4)

F(6, 4), H(2, -2)

Answer 1

http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_Seg_One_Practice_Exam_01/image0434e382dc0.jpg

Answer 2

thats the image

Answer 3

How do u spell ur name Machi303?

Answer 4

mach 1303

Answer 5

Mach as in Mac or Mak??

Answer 6

michelleine i add my first and last name together to get that

Answer 7

thats my name michelleine

Answer 8

hmm, fyi
flvs urls are usually session localized resources
meaning unless you're logged in flvs website, you can't access the resource

take a screenshot of the material and post it here

Answer 9

if you click on it it give u the image

Answer 10

yes it did, I guess this resource isn't localized then
that isn't the norm btw with flvs

Answer 11

yeah can u help me

Answer 12

well the length of EF will be 6 units

notice the vertex are being listed clockwise, starting from A ... D
the new SIMILAR trapezoid is listed as EFGH

if we start clockwise also from point E, it'd look like

so the EF side on the bigger trapezoid, will correspond with the AB line on the smaller trapezoid

now that we know the correspondence of the sides
we can also just redraw EFGH facing the other side like

Answer 13

so line EF will be = 6
how long is its corresponding side on the smaller trapezoid of AB, that is, how long is AB?

Answer 14

so what would be the vertices i don't get it

Answer 15

well, we dunno the vertices yet

but since they're SIMILAR polygons, you want to know their ratio of correspondence

Answer 16

how long is AB?

Answer 17

one sec

Answer 18

3units

Answer 19

so AB is 3
EF is 6
both sides are correspondent of each other

so EF is really twice as big as AB
6/3 = 2

so the ratio of proportion between both SIMILAR polygons is 2 to 1

so if you want to get any side length on EFGH
just look at the corresponding side on ABCD and double that amount

E is located at (0, -2)
F is 6 units up from there


AD on the smaller trapezoid is 5 units long
so EH will be 5*2 = 10

E is located at (0, -2)
H is located 10 units to the left from there

Answer 20

i am supposed to find f

Answer 21

yes
E is located at (0, -2)
F is 6 units up from there

Answer 22

so it would be A

Answer 23

(0, -2) 6 units up, that is (0, -2+6) = (0, 4) => F

(0, -2) 10 units to the left, (0+10,-2) = (10, -2) => H

Answer 24

yes

Answer 25

thnx

Answer 26

yw