Answer with explanation:
Given: A kite U V W X
To Prove: Diagonals of kite U V W X, that is ,U W and V X are Perpendicular.
Proof:
Slope between two points having position vector or coordinates , is given by:
Step 1:
Determine the slope of XV. Suppose position vector of point X is (a,b) and Position vector of point V is (p,q).
The slope of XV is
Step 2:
Determine the slope of UW. Suppose position vector of point U is (m,n) and Position vector of point W is (s,t).
The slope of U W is :
Step 3: The slopes of the diagonals are,
Also,
→→Showing that,The diagonals of kite UVWX are perpendicular to each other.
