A kite JMKL has diagonals JK and LM that intersect at point N. Which of the following options best describe the kite? Select all that apply.

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goldilocks3137 goldilocks3137 · Answer 1 · 2018-07-25T10:05:30+02:00

The third one is also correct, the diagonals are perpendicular.

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PratikshaS PratikshaS · Answer 2 · 2022-05-31T12:53:58+02:00

The options best describe the kite are:

∠LNK = 90°

∠MNJ = 90°

JK is perpendicular to LM

"It is a quadrilateral that has 2 pairs of adjacent equal-length sides."

"A line that connects two vertices of a polygon and these vertices are not on the same edge."

For given example,

A kite JMKL has diagonals JK and LM that intersect at point N as shown in the following diagram.

Here, JK ≠ LM

We know that the two diagonals of a kite are perpendicular to each other.

This means, JK is perpendicular to LM,

Also, ∠LNK = 90°

∠MNJ = 90°

∠MNL = 90°

∠KNJ = 90°

Since, JMKL is a kite, the adjacent sides JM and LJ are equal as well as the sides MK and KL are equal.

⇒ JM = LJ and MK = KL

Therefore, the options best describe the kite are:

∠LNK = 90°

∠MNJ = 90°

JK is perpendicular to LM

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