Answer:
Step-by-step explanation:
we are given a vertex of a square i.e <u>(</u><u>1</u><u>,</u><u>1</u><u>)</u>
and the equations of the two parallel sides
notice that, the given vertex coordinates satisfy one of the parallel side i.e <u>y=</u><u>x </u>which means that (1,1) points lie on one of Parallel sides
remember that,
every angles of a square is <u>9</u><u>0</u><u>°</u><u> </u>
therefore,
we need to figure out the remaining <u>Perpendicular</u><u> </u><u>line </u><u> </u>of the given Parallel sides so
let's figure out the perpendicular line of y=x line
recall that,
Parallel lines have the same slope thus
since we are given a vertex the equation of the perpendicular line should be
distribute:
add 1 to both sides:
to figure out the second perpendicular line we can consider the coordinates (0.5,0.5) of y=x equation
so the slope of the perpendicular line is -1
and the equation:
distribute:
add 0.5 to both sides:
and we are done!
