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.

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.

21/58.

hope to be marked brainliest