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What is a parallelogram?
A quadrilateral with opposite sides parallel and equal in length.
What are the properties of the angles in a parallelogram?
Opposite angles are equal and the sum of adjacent angles is 180 degrees.
How do the diagonals behave in a parallelogram?
The diagonals bisect each other.
What is a square in relation to parallelograms?
A square is a special type of parallelogram with all sides equal and all angles measuring 90 degrees.
What are the properties of the diagonals in a square?
The diagonals are equal in length, bisect each other at right angles, and are congruent.
What is a rhombus?
A parallelogram in which all sides are of equal length.
What is unique about the angles in a rhombus?
Opposite angles are equal and adjacent angles are supplementary.
How do the diagonals function in a rhombus?
They bisect each other at right angles and are not necessarily equal.
What defines a trapezoid?
A quadrilateral with at least one pair of parallel sides.
What are the properties of angles in a trapezoid?
The angles adjacent to each leg are supplementary.
What is the median of a trapezoid?
The median is parallel to the bases and its length is the average of the lengths of the two bases.
What characterizes an isosceles trapezoid?
A trapezoid where the non-parallel sides are of equal length and the angles at each base are equal.
How do the diagonals of an isosceles trapezoid behave?
The diagonals are of equal length.
What defines a kite?
A quadrilateral with two distinct pairs of adjacent sides that are equal.
What are the properties of the diagonals in a kite?
The diagonals intersect at a right angle and one diagonal bisects the angles of the other diagonal.
What can be said about opposite angles in a kite?
They are equal at the intersection of the diagonals.
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