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Parallelograms, rectangles, rhombi, squares, and trapezoids
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A quadrilateral with both pairs of opposite sides parallel.
Properties:
A parallelogram with four right angles.
Additional properties:
A parallelogram with four congruent sides.
Additional properties:
In parallelogram ABCD, . Find .
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A parallelogram that is both a rectangle and a rhombus.
Properties:
A quadrilateral with exactly one pair of parallel sides.
Parts:
A trapezoid with congruent legs.
Properties:
In a parallelogram, opposite angles are congruent.
Since and are opposite:
Answer:
A trapezoid has bases of length 8 and 14. Find the length of the midsegment.
The midsegment of a trapezoid equals the average of the bases:
Answer: The midsegment is 11
In rhombus PQRS, diagonal PR = 16 and diagonal QS = 12. Find the length of one side of the rhombus.
In a rhombus, diagonals are perpendicular and bisect each other.
The diagonals split the rhombus into 4 right triangles.
Half-diagonals:
Use Pythagorean Theorem:
Answer: Each side is 10