Trapezoids and Kites — Quiz

Question 26 • Mathematics III

Which quadrilateral is a kite?

Answer

Image with description Quadrilateral J K L M is shown. Sides K L and J M are parallel. The lengths of J K and L M are congruent. Angles J and M are congruent.

Image with description Quadrilateral A B C D is shown. Sides B C and C D are congruent. Sides A B and A D have different lengths.

Image with description Quadrilateral E F G H is shown. Angles E and G are congruent. Sides E F and F G are congruent. Sides G H and E H are congruent.

Image with description Quadrilateral N O P Q is shown. Sides O P and N Q are parallel. Sides N O and Q P are parallel. Angles P and N are congruent.

Explanation

A kite has two pairs of equal sides, with the sides in each pair next to each other. In choice C, EF = FG and GH = EH, so both pairs of equal sides are adjacent. Choice B shows only one equal pair and says the other two sides have different lengths.

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