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forsale [732]
3 years ago
8

Which statement proves that Quadrilateral HIJK is a kite???

Mathematics
2 answers:
mojhsa [17]3 years ago
3 0

Answer:

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 = \sqrt{[1-(-1)]^{2}+[2-(-3)^{2} by Pythagoras Theorem

                       = \sqrt{(2)^{2}+(5)^{2}}=\sqrt{4+25}=\sqrt{29}

Similarly length of JK = \sqrt{(2)^{2}+[4-(-1)]^{2}}=\sqrt{4+5^{2} }

                                   = \sqrt{29}

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.

DENIUS [597]3 years ago
3 0

Answer:

B. IH = IJ = 3 and JK = HK = StartRoot 29 EndRoot, and IH ≠ JK and IJ ≠ HK.

Step-by-step explanation:

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