Question

Pentagon TUVWX on the coordinate plane below represents the new emblem of a nationwide restaurant chain.



Congruent emblems must be created so they may be duplicated at every restaurant within the chain. If three of the vertices of the congruent emblem are located at Y(10, 9), Z(14, 6), and A(12, 2), where are the missing two vertices located?

B(10, 6) and C(5, 7)

B(10, 7) and C(5, 8)

B(11, 6) and C(6, 7)

B(11, 5) and C(6, 6)

Answer 1

@phi

Answer 2

I would plot the points as a first step. Can you do that ?

Answer 3

@phi here is the graph given

Answer 4

that looks like a different question

Answer 5

thats the question

Answer 6

@phi

Answer 7

I see Question 11... a quadrilateral EFGH is drawn...

up top you posted:
Pentagon TUVWX on the coordinate plane...

which one are you working on ?

Answer 8

sorry about that... here is the right one @phi :)

Answer 9

point T corresponds to point Y

how many steps do you go sideways (x direction) and up (y direction)
to get from T to Y ?

Answer 10

can you count the boxes over and then up ?

Answer 11

6 over, 3 up @phi

Answer 12

and if you check, you will see the same 6 over 3 up will get you from U to Z

that is the rule for this problem.

Now if you are at point X where do you end up after going 6 over 3 up

Answer 13

(6,7)? @phi

Answer 14

yes. see if any of the choices has a (6,7) as part of the answer

Answer 15

as a check, start at W and go 6 over 3 up. that should give you the other point in the answer

Answer 16

I got it right! thanks for the hep @phi