Question

The coordinates of the vertices of quadrilateral ABCD are A(6, 7), B(6, 3), C(3, 2), and D(2, 5).
ABCD is reflected across the x-axis to form PQRS.
What is the length of diagonal PR?

three times the square root of 2 units

square root of 34 units

square root of 10 units

two times the square root of 5 units

Answer 1

@Hero

Answer 2

@Hero

Answer 3

Reflect each point across the x axis one at a time.

Answer 4

\[A \rightarrow P\]\[B \rightarrow Q\]\[C \rightarrow R\]\[D \rightarrow S\]

Answer 5

(6,-7), (6,-3),(3,-2),(2,-5) @Hero

Answer 6

P = (6,-7)
Q = (6,-3)
R = (3,-2)
S = (2,-5)

Answer 7

now how do we get the diagonal? @Hero

Answer 8

You have to use graph paper and find the length of segments.

Answer 9

would it be c? @Hero

Answer 10

@phi

Answer 11

@phi

Answer 12

is the answer c?

Answer 13

do you know the distance formula to find the distance between 2 points ?

Answer 14

I tried that but I am super confused and my assignment is due in 5 minutes and this is my only question left! I am desperate for the answer @phi

Answer 15

what two points do you use ?

Answer 16

(6,7) and (6,3)

Answer 17

@phi

Answer 18

those are A and B. (which match up with P and Q)
they want diagonal PR

Answer 19

and notice 6,7 is 4 steps above 6,3 so it is length 4 which does not match any of your choices... that is a clue you have the wrong points.

People have posted up above which points go with P and R

Answer 20

(6,-7) and (6,-3)

Answer 21

@phi

Answer 22

sorry I meant to write that the first time you asked

Answer 23

those are P and Q

you want P and R

Answer 24

or A and C

Answer 25

I got square root of -2 which isnt possible

Answer 26

i got squareroot of 2

Answer 27

show the work

Answer 28

first, what 2 points are you using ?

Answer 29

when you have time see
http://www.khanacademy.org/math/algebra/linear-equations-and-inequalitie/more-analytic-geometry/v/distance-formula