17 Questions
What is the sum of the interior angles of a parallelogram?
$360^\circ$
What is the relationship between opposite sides of a parallelogram?
They are equal in length
What is the name of the line segment that connects the midpoints of two sides of a parallelogram?
Diagonal
If a quadrilateral has opposite sides that are parallel, what is guaranteed?
Consecutive angles are supplementary
What is guaranteed if a quadrilateral has diagonals that bisect each other?
Opposite angles are congruent
If a quadrilateral has consecutive angles that are supplementary, what can be concluded?
Opposite sides are equal
What is guaranteed if a parallelogram is equiangular?
Opposite sides are parallel
What condition guarantees that a quadrilateral is a parallelogram?
Diagonals bisect each other
In a parallelogram, why do the diagonals bisect each other?
Because the midpoint of one diagonal is also the midpoint of the other diagonal
What must be true for EF to be a midpoint of both AC and BD in a parallelogram?
$AE = EC$ and $BE = ED$
What is the relationship between the opposite sides of a parallelogram?
They are parallel and congruent
If the opposite angles of a quadrilateral are congruent, what can be concluded?
The quadrilateral is a parallelogram
What is needed to prove that a quadrilateral is a parallelogram using the diagonal bisector property?
To show that the diagonals bisect each other
In the given context, what is the role of points E and F?
They lie on the perpendicular bisectors of AC and BD
Why can we conclude that AE = EC and BE = ED?
Because EG = FH
What is the significance of the lines AG and BH in the context of proving a quadrilateral is a parallelogram?
They are perpendicular bisectors of AB and CD
What conditions can be used to prove that a given quadrilateral is a parallelogram?
All of the above
Test your knowledge of parallelograms with this 20-item quiz. Questions cover interior angles, relationships between opposite sides, and properties of line segments within parallelograms.
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