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McGraw Hill Glencoe Geometry, 2012

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McGraw Hill Glencoe Geometry, 2012 View details

Study Guide and Review

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Exercise 24 Page 451

Review the conditions for a quadrilateral to be a parallelogram.

Is the Quadrilateral a Parallelogram? Yes
Explanation: See solution.

Practice makes perfect

To prove that a quadrilateral is a parallelogram, it is enough to show that one of the following conditions is satisfied.

Both pairs of opposite sides are parallel.
Both pairs of opposite sides are congruent.
Both pairs of opposite angles are congruent.
The diagonals bisect each other.
A pair of opposite sides are both parallel and congruent.

Let's analyze the given quadrilateral.

We can see that a pair of opposite sides are both parallel and congruent. Therefore, the quadrilateral is a parallelogram.