Y P
Q
S
R
Part A
Rectangle PQRS is rotated 90° counterclockwise about the origin to create rectangle PQR'S' (not shown). What are the coordinates of point R?
0 (-7,6)
O (7,6)
• (-6,7)
O (6,7)
Part B

The coordinates of point R are (7,6), second option

Step-by-step explanation:

Coordinates of point R:

The coordinates of point R are , so (6,-7).

90° counterclockwise rule:

The rule for a rotation of 90º counterclockwise is given by:

(x,y) -> (-y,x)

What are the coordinates of point R?

(6,-7) -> (-(-7),6) = (7,6).

The coordinates of point R are (7,6), second option

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3