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17 Questions

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Parallelograms Geometry Test

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Questions and Answers

What is the sum of the interior angles of a parallelogram?

$180^\circ$

$360^\circ$ (correct)

$90^\circ$

$270^\circ$

What is the relationship between opposite sides of a parallelogram?

They are congruent

They are parallel

They are equal in length (correct)

They are perpendicular

What is the name of the line segment that connects the midpoints of two sides of a parallelogram?

Diagonal (correct)

Altitude

Bisector

Median

If a quadrilateral has opposite sides that are parallel, what is guaranteed?

Consecutive angles are supplementary Signup and view all the answers

What is guaranteed if a quadrilateral has diagonals that bisect each other?

Opposite angles are congruent Signup and view all the answers

If a quadrilateral has consecutive angles that are supplementary, what can be concluded?

Opposite sides are equal Signup and view all the answers

What is guaranteed if a parallelogram is equiangular?

Opposite sides are parallel Signup and view all the answers

What condition guarantees that a quadrilateral is a parallelogram?

Diagonals bisect each other Signup and view all the answers

In a parallelogram, why do the diagonals bisect each other?

Because the midpoint of one diagonal is also the midpoint of the other diagonal Signup and view all the answers

What must be true for EF to be a midpoint of both AC and BD in a parallelogram?

$AE = EC$ and $BE = ED$ Signup and view all the answers

What is the relationship between the opposite sides of a parallelogram?

They are parallel and congruent Signup and view all the answers

If the opposite angles of a quadrilateral are congruent, what can be concluded?

The quadrilateral is a parallelogram Signup and view all the answers

What is needed to prove that a quadrilateral is a parallelogram using the diagonal bisector property?

To show that the diagonals bisect each other Signup and view all the answers

In the given context, what is the role of points E and F?

They lie on the perpendicular bisectors of AC and BD Signup and view all the answers

Why can we conclude that AE = EC and BE = ED?

Because EG = FH Signup and view all the answers

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 Signup and view all the answers

What conditions can be used to prove that a given quadrilateral is a parallelogram?

All of the above Signup and view all the answers