Which statement proves that quadrilateral hijk is a

Option B. is the answer.

Step-by-step explanation:

In the  given picture we have to prove that quadrilateral HIJK is a kite.

1. For a kite quadrilateral  HIJK will be a kite, if it's sides IJ = IH

From the graph length of I H = 4 - 1 = 3 units

Length of IJ = 0 - (-3) = 3 units

Therefore, IJ = IH = 3 units

2. Sides HK should be equal to JK

Length of HK = by Pythagoras Theorem

                       =

Similarly length of JK =

                                   =

Therefore HK = JK = √29 units

3). IH ≠ JK and ij ≠ HK

All these conditions are fulfilled for HIJK to be a kite.

Option B. is the answer.