Question

which quadrilateral is a kite?
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Explanation:

Define a kite

Using the Kite Properties knowledge point
A kite is defined as a quadrilateral with two distinct pairs of equal-length adjacent sides.

Analyze the first quadrilateral ABCD

Using the Kite Properties knowledge point

• Side \(AB\) has a double tick mark.
• Side \(BC\) has a single tick mark.
• Side \(CD\) has a single tick mark.
• Side \(DA\) has a triple tick mark.
• Adjacent sides \(BC\) and \(CD\) are equal (\(BC = CD\)), but the other two adjacent sides \(AB\) and \(DA\) are not equal (\(AB

eq DA\)). Thus, \(ABCD\) is not a kite.

Analyze the second quadrilateral EFGH

Using the Kite Properties knowledge point

• Side \(EF\) has a single tick mark.
• Side \(FG\) has a single tick mark.
• Side \(GH\) has a double tick mark.
• Side \(HE\) has a double tick mark.
• This gives two distinct pairs of equal-length adjacent sides: \(EF = FG\) and \(GH = HE\). Thus, \(EFGH\) is a kite.

Analyze the third quadrilateral KL...

Using the Kite Properties knowledge point

• Side \(KL\) has a parallel arrow mark.
• The two non-parallel sides have single tick marks, indicating an isosceles trapezoid. Thus, this is not a kite.

Answer:

• (A) Quadrilateral ABCD
• (B) Quadrilateral EFGH (Correct answer)
• (C) Quadrilateral KL...