Question

A view of Anytown, USA is shown on the grid below with Rock Park represented by quadrilateral RSTU. Due to overcrowding, another park will be built similar to Rock Park. Vertices A and D are plotted on the grid to represent two corners of new Sandstone Park.What could be the ordered pairs representing vertices B and C of quadrilateral ABCD so that Sandstone Park is similar to Rock Park?

Answer 1

B(6, 6), C(5, 5)

B(9, 3), C(8, 2)

B(10, 4), C(9, 3)

B(5, 4), C(5, 3)

Answer 2

tips?

Answer 3

To make it similar, you want to have the height/width ratio be the same. What's the height and width of RSTU?

Answer 4

The width is 4 while the height is 2

Answer 5

Right, so we want it to have a height/width ratio of 1/2.

We also want the corners to have the same angles. Easy way to do this is to keep everything parallel. So only go directly sideways when placing points, or go directly up/down.

Answer 6

I believe B is (10,4)

Answer 7

That means we want B to have a y-coordinate equal to the y-coordinate of A, and C to have a y-coordinate equal to the y-coordinate of D.

Answer 8

you?

Answer 9

I would agree with that.

Answer 10

however

Answer 11

could C be (5,3)

Answer 12

?

Answer 13

What do you think?

Answer 14

Take a look at your options.

Answer 15

B(6, 6), C(5, 5) B(9, 3), C(8, 2) B(10, 4), C(9, 3) B(5, 4), C(5, 3)

Answer 16

Do you see B (10,4) C(5,3)?

Answer 17

yep

Answer 18

ohhhhhhhhhh

Answer 19

brain fart

Answer 20

B(10, 4), C(9, 3

Answer 21

I would agree with that.

Answer 22

20/20 :D!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 23

All done!

Answer 24

well

Answer 25

for now

Answer 26

my brain is acheing

Answer 27

I know the feeling well.

Answer 28

lol