If ON = 5x -- 4, LM = 4x +7, NM-X-7, and OL = 2y-6, find the values of x and y for which
LMNO must be a parallelogram. The diagram is not
to scale
o
N
Z
M
a. x = 4, y = 5
1
b. x = 4, y = 5
1
c. x = 11, y = 5
di x = 11, y = 5
A

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c