Question

Geometry, please help!

Answer 1

A quadrilateral EFGH is drawn on a coordinate grid as shown below.

Answer 2

Pamela will draw a quadrilateral IJKL similar to quadrilateral EFGH. The length of IJ should be 6 and I should be located at point (1, -3). At which points will vertices J and K be located?

Answer 3

do you know what similar means?

Answer 4

proportional sides and congruent angles?

Answer 5

right
ijkl is similar to efgh
this means ij is proportional to ef

if ij is 6 and ef is 3, then what is the proportion

Answer 6

@completeidiot 6/3 so 3/1 ?

Answer 7

do you want to correct your mistake?

Answer 8

oh lol sorry 2/1

Answer 9

ok this means the sides of ijkl are 2 times larger than the sides of efgh

you know where point I is so start by drawing that

you also know where point J is which is 6 units away from I, so you can draw that

look at efgh for information and keep plotting ijkl until you get a similar quadrilateral
then make note of where point k and point l are

Answer 10

@completeidiot I got (3, 1) for J, and (5, -5) for K

Answer 11

G is 4 units to the right from F
that means j is how many units away from k?

Answer 12

dont know where the post went
but yes it is 8 units to the right, so you can draw K

Answer 13

oh sorry haha I though it was wrong so I deleted it

Answer 14

now do the same thing to find L

Answer 15

is it 10?

Answer 16

yes

Answer 17

now draw it on your graph
and then you'll have a similar quadrilateral

Answer 18

thanks! :)