Question

The sides of a rhombus ABCD are parallel to the lines y=x+2 and y=7x+3.If the diagonal of the rhombus intersect at the point O(1,2) and the vertex A lies on y axis find possible coordinates of A

Answer 1

pls help

Answer 2

can u say the properties of a rhombus ??

Answer 3

AB, gradient is 1
CD, gradient is 7

Answer 4

what you mean by gradient?what are the properties of a rhombus?

Answer 5

Every rhombus has two diagonals connecting pairs of opposite vertices, and two pairs of parallel sides. Using congruent triangles, one can prove that the rhombus is symmetric across each of these diagonals. It follows that any rhombus has the following properties:

-Opposite angles of a rhombus have equal measure.

-The two diagonals of a rhombus are perpendicular; that is, a rhombus is an orthodiagonal quadrilateral.

-Its diagonals bisect opposite angles.

Answer 6

are diagonals equal ??
are all the four sides equal?

Answer 7

four sides equal
but from your equation i found that x=-1/6 and y=11/6

Answer 8

wt abt diagonals?

Answer 9

The point of intercection is (-1/6,11/6)

Answer 10

are diagonals equal??or are they just perpendicular?

Answer 11

diagonals perpendicular

Answer 12

k now abt ma qn

Answer 13

i think we need to find locus here...hw u got point of intersection

Answer 14

y=x+2 and y=7x+3

x+2=7x+3
x=-1/6

y=7(-1/6)+3
y=11/6

Answer 15

which point you talking about?

Answer 16

(-1/6,11/6) could be A