Question

Determine which quadrilaterals have the properties given in the table.
kite
square trapezoid rectangle
Opposite sides are congruent.
Diagonals are perpendicular.
Exactly one pair of opposite angles are
congruent.
rhombus
parallelogram
Diagonals are congruent.
Diagonals bisect opposite interior angles.
Consecutive interior angles are
supplementary.

Answer 1

The two quadrilateral with the listed properties are kite and rhombus respectively.

Properties of a kite

• It has two diagonals intersecting  at right angles

• A kite is symmetrical about its main diagonal

• Angles opposite to the main diagonal are equal

• The kite can be viewed as a pair of congruent triangles with a common base

• Its diagonals are perpendicular

Properties of a rhombus

• All sides of the rhombus are equal

• The opposite sides are parallel
• Opposite angles are equal
• Diagonals bisect each other at right angles
• Diagonals bisect the angles
• The sum of two adjacent angles is equal to 180 degrees, that is, are supplementary

Thus, the two quadrilateral with the listed properties are kite and rhombus respectively.

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