Homework properties of parallelograms worksheet

Theorem If one pair Of opposite sides Of a quadrilateral are parallel and congruent, then the quadrilateral is a p Example 1 Prove that a quadrilateral is a parallelogram if its opposite angles are congruent.

CPCTC Reasons Theorem If a quadrilateral is a parallelogram, then its opposite angles are congruent. Prove that the opposite angles of a parallelogram are congruent. Example Given: ABCD is a parallelogram. Prove: LA LC (A similar proof shows that LB LD.)

ABCD is a parallelogram. 7 Reasons 1. Through any two points, there is exactly one line. 5. Theorem If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. Complete the proof Of the theorem. Given: AB CD and AD CB Prove: ABCD is a parallelogram. Draw diagonal DB.

Parallelogram Opposite sides are congruent AB DC AD BC pposite angles are congruent ZA ZC The diagonals bisect each other If E is the point where diagonals AC and BD intersect, then AE CE and BE-X-DE Explain 4 Using Properties of Parallelograms You can use the properties of parallelograms to find unknown lengths or angle measures in a 17)0 figure.